Constrained model predictive control: Stability and optimality
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Model predictive control is an optimization-based control addressing optimal tracking control performance and input and state constraints.
“Model predictive control (MPC) [12], or receding horizon control [13], is an optimization-based control addressing optimal tracking control performance and input and state constraints, such as saturation of control inputs and physical limits of workspace and speed.”
From Incremental Model Predictive Control Exploiting Time-Delay Estimation for a Robot Manipulator (2022) · cites this paper as [12]
Cites
Bellman, R. E. (2010) · doi:10.1515/9781400835386 · Cited by 14,588 · see citing works
Model predictive control: Theory and practice—A survey
García, C. E., Prett, D. M., & Morari, M. (1989) · Automatica · doi:10.1016/0005-1098(89)90002-2 · Cited by 5,351 · see citing works
Lee, J. H., Kaisare, N. S., & García, C. E. (2007) · Springer eBooks · doi:10.1002/9781394333325.fmatter · Cited by 3,766 · see citing works
Generalized predictive control - Part I. The basic algorithm
Clarke, D., Mohtadi, C., & Tuffs, P. (1987) · at - Automatisierungstechnik · doi:10.1016/0005-1098(87)90087-2 · Cited by 3,712 · see citing works
Introduction to Stochastic Control Theory
(1970) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(09)x6015-7 · Cited by 3,224 · see citing works
Control of systems integrating logic, dynamics, and constraints
Bemporad, A., & Morari, M. (1999) · Automatica · doi:10.1016/s0005-1098(98)00178-2 · Cited by 3,048 · see citing works
Deterministic and Stochastic Optimal Control
Fleming, W. H., & Rishel, R. (1975) · Springer eBooks · doi:10.1007/978-1-4612-6380-7 · Cited by 2,747 · see citing works
Deterministic and Stochastic Optimal Control.
Bather, J. A., Fleming, W. H., & Rishel, R. (1976) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344363 · Cited by 2,690 · see citing works
Robust constrained model predictive control using linear matrix inequalities
Kothare, M. V., Balakrishnan, V., & Morari, M. (1996) · Automatica · doi:10.1016/0005-1098(96)00063-5 · Cited by 2,521 · see citing works
Model predictive control: past, present and future
Morari, M., & H. Lee, J. (1999) · Computers & Chemical Engineering · doi:10.1016/s0098-1354(98)00301-9 · Cited by 2,335 · see citing works
Model predictive heuristic control
Richalet, J., Rault, A., Testud, J. L., & Papon, J. (1978) · Automatica · doi:10.1016/0005-1098(78)90001-8 · Cited by 2,092 · see citing works
L2-Gain and Passivity Techniques in Nonlinear Control
van der Schaft, A. J. (2016) · Communications and control engineering/Communications and control engineering series · doi:10.1007/978-3-319-49992-5 · Cited by 2,039 · see citing works
Foundations of Optimal Control Theory.
Wishart, D. M. G., Lee, E. B., & Markus, L. (1969) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2343766 · Cited by 1,880 · see citing works
Dynamic matrix control¿A computer control algorithm
Cutler, C. R., & Ramaker, B. L. (1980) · IEEE Transactions on Automatic Control · doi:10.1109/jacc.1980.4232009 · Cited by 1,699 · see citing works
Contributions to the theory of optimal control
Kalman, R. E. (1960) · Cited by 1,689 · see citing works
Gilbert, É., & Tan, K. T. (1991) · IEEE Transactions on Automatic Control · doi:10.1109/9.83532 · Cited by 1,567 · see citing works
Chen, H., & Allgöwer, F. (1998) · Automatica · doi:10.1016/s0005-1098(98)00073-9 · Cited by 1,559 · see citing works
Robust receding horizon control of constrained nonlinear systems
Michalska, H., & Mayne, D. Q. (1993) · IEEE Transactions on Automatic Control · doi:10.1109/9.262032 · Cited by 1,181 · see citing works
Self-citationGeneralized Predictive Control—Part II Extensions and interpretations
CLARKE, D. W., Mohtadi, C., & Tuffs, P. S. (1987) · Automatica · doi:10.1016/0005-1098(87)90088-4 · Cited by 1,145 · see citing works
The stability of constrained receding horizon control
Rawlings, J. B., & Muske, K. R. (1993) · IEEE Transactions on Automatic Control · doi:10.1109/9.241565 · Cited by 1,051 · see citing works
Self-citationReceding horizon control of nonlinear systems
Mayne, D. Q., & Michalska, H. H. (1990) · IEEE Transactions on Automatic Control · doi:10.1109/9.57020 · Cited by 961 · see citing works
Self-citationMin-max feedback model predictive control for constrained linear systems
Scokaert, P. O. M., & Mayne, D. Q. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.704989 · Cited by 929 · see citing works
Self-citationGeneralized Predictive Control
Camacho, E. F., & Bordons, C. (2007) · Advanced textbooks in control and signal processing · doi:10.1007/978-0-85729-398-5_4 · Cited by 916 · see citing works
Keerthi, S. S., & Gilbert, É. (1988) · Journal of Optimization Theory and Applications · doi:10.1007/bf00938540 · Cited by 828 · see citing works
Model predictive control with linear models
Muske, K. R., & Rawlings, J. B. (1993) · AIChE Journal · doi:10.1002/aic.690390208 · Cited by 714 · see citing works
Self-citationAdaptive Optimal Control: The Thinking Man's G.P.C.
Bithmead, R. P., Wertz, V., & Gerers, M. (1991) · Cited by 689 · see citing works
Suboptimal model predictive control (feasibility implies stability)
Scokaert, P. O. M., Mayne, D. Q., & Rawlings, J. B. (1999) · IEEE Transactions on Automatic Control · doi:10.1109/9.751369 · Cited by 619 · see citing works
Self-citationModel predictive control in the process industry
Camacho, E. F., & Bordons, C. (1995) · Cited by 592 · see citing works
QUADRATIC PROGRAMMING SOLUTION OF DYNAMIC MATRIX CONTROL (QDMC)
García, C. E., & Morshedi, A. M. (1986) · Chemical Engineering Communications · doi:10.1080/00986448608911397 · Cited by 573 · see citing works
Reference governor for constrained nonlinear systems
Bemporad, A. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.661611 · Cited by 555 · see citing works
Constrained linear quadratic regulation
Scokaert, P. O. M., & Rawlings, J. B. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.704994 · Cited by 547 · see citing works
Self-citationApplication of Interior-Point Methods to Model Predictive Control
Rao, C. V., Wright, S. J., & Rawlings, J. B. (1998) · Journal of Optimization Theory and Applications · doi:10.1023/a:1021711402723 · Cited by 537 · see citing works
Self-citationL2-Gain and Passivity Techniques in Nonlinear Control
van der Schaft, A. J. (1996) · Lecture notes in control and information sciences · doi:10.1007/3-540-76074-1 · Cited by 531 · see citing works
Advances in Model-Based Predictive Control
(1994) · doi:10.1093/oso/9780198562924.001.0001 · Cited by 509 · see citing works
Nonlinear control of constrained linear systems via predictive reference management
Bemporad, A., Casavola, A., & Mosca, E. (1997) · IEEE Transactions on Automatic Control · doi:10.1109/9.557577 · Cited by 475 · see citing works
Polak, E. (1997) · Applied mathematical sciences · doi:10.1007/978-1-4612-0663-7 · Cited by 456 · see citing works
Worst-case formulations of model predictive control for systems with bounded parameters
Lee, J. H., & Yu, Z. (1997) · Automatica · doi:10.1016/s0005-1098(96)00255-5 · Cited by 439 · see citing works
A modified quadratic cost problem and feedback stabilization of a linear system
Kwon, W.-H., & Pearson, A. E. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101619 · Cited by 380 · see citing works
A receding-horizon regulator for nonlinear systems and a neural approximation
Parisini, T., & Zoppoli, R. (1995) · Automatica · doi:10.1016/0005-1098(95)00044-w · Cited by 371 · see citing works
Predictive Control: A Unified Approach
Soeterboek, R. (1992) · Medical Entomology and Zoology · Cited by 370 · see citing works
A moving horizon‐based approach for least‐squares estimation
Robertson, D. G., Lee, J. H., & Rawlings, J. B. (1996) · AIChE Journal · doi:10.1002/aic.690420811 · Cited by 354 · see citing works
Self-citationMoving horizon observers and observer-based control
Michalska, H. H., & Mayne, D. Q. (1995) · IEEE Transactions on Automatic Control · doi:10.1109/9.388677 · Cited by 353 · see citing works
Self-citationConstrained receding-horizon predictive control
CLARKE, D. W., & Scattolini, R. (1991) · IEE Proceedings D Control Theory and Applications · doi:10.1049/ip-d.1991.0047 · Cited by 328 · see citing works
Contractive model predictive control for constrained nonlinear systems
Kothare, S. L. D. O., & Morari, M. (2000) · IEEE Transactions on Automatic Control · doi:10.1109/9.863592 · Cited by 321 · see citing works
State-space interpretation of model predictive control
Lee, J. H., Morari, M., & García, C. E. (1994) · Automatica · doi:10.1016/0005-1098(94)90159-7 · Cited by 314 · see citing works
On constrained infinite-time linear quadratic optimal control
Chmielewski, D. J., & Manousiouthakis, V. I. (1996) · Systems & Control Letters · doi:10.1016/s0167-6911(96)00057-6 · Cited by 297 · see citing works
Unconstrained receding-horizon control of nonlinear systems
Jadbabaie, A., Yu, J., & Hauser, J. (2001) · IEEE Transactions on Automatic Control · doi:10.1109/9.920800 · Cited by 290 · see citing works
A numerically robust state-space approach to stable-predictive control strategies
Rossiter, J. A., Kouvaritakis, B., & Rice, M. J. (1998) · Automatica · doi:10.1016/s0005-1098(97)00171-4 · Cited by 261 · see citing works
Stability of model predictive control with mixed constraints
Zheng, A., & Morari, M. (1995) · IEEE Transactions on Automatic Control · doi:10.1109/9.467664 · Cited by 245 · see citing works
Predictor-based self-tuning control
Peterka, V. (1984) · Automatica · doi:10.1016/0005-1098(84)90063-3 · Cited by 241 · see citing works
On the stabilization of nonlinear systems using state detection
Vidyasagar, M. (1980) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1980.1102376 · Cited by 209 · see citing works
Robustness in Identification and Control
Milanese, M., Tempo, R., & Vicino, A. (1989) · Springer eBooks · doi:10.1007/978-1-4615-9552-6 · Cited by 205 · see citing works
Feasibility issues in linear model predictive control
Scokaert, P. O. M., & Rawlings, J. B. (1999) · AIChE Journal · doi:10.1002/aic.690450805 · Cited by 205 · see citing works
Self-citationDiscrete-time stability with perturbations: application to model predictive control
Scokaert, P. O. M., Rawlings, J. B., & Meadows, E. S. (1997) · Automatica · doi:10.1016/s0005-1098(96)00213-0 · Cited by 199 · see citing works
Self-citationRobust Stability of Constrained Model Predictive Control
Zheng, Z. Q., & Morari, M. (1993) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.23919/acc.1993.4792879 · Cited by 197 · see citing works
Suboptimal control of linear systems with state and control inequality constraints
Sznaier, M., & Damborg, M. J. (1987) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1987.272491 · Cited by 194 · see citing works
Extended Horizon Adaptive Control
Ydstie, B. E. (1984) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)61089-9 · Cited by 194 · see citing works
Nonlinear Model Predictive Control: A Tutorial and Survey
Rawlings, J. B., Meadows, E. S., & Muske, K. R. (1994) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)48151-1 · Cited by 175 · see citing works
Self-citationConstraint handing and stability properties of model‐predictive control
Oliveira, N. M. C., & Biegler, L. T. (1994) · AIChE Journal · doi:10.1002/aic.690400706 · Cited by 162 · see citing works
An easy way to stabilize a linear constant system
Kleinman, D. L. (1970) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1970.1099612 · Cited by 160 · see citing works
Optimization and constrained multivariable control of a catalytic cracking unit
Prett, D. M., & Gillette, R. D. (1980) · IEEE Transactions on Automatic Control · doi:10.1109/jacc.1980.4232010 · Cited by 157 · see citing works
Robust model predictive control of stable linear systems
Badgwell, T. A. (1997) · International Journal of Control · doi:10.1080/002071797223343 · Cited by 156 · see citing works
On receding horizon feedback control
Chen, C. C., & Shaw, L. (1982) · Automatica · doi:10.1016/0005-1098(82)90096-6 · Cited by 155 · see citing works
Stabilizing state-feedback design via the moving horizon method
KWON, W. H., Bruckstein, A. M., & Kailath, T. (1983) · International Journal of Control · doi:10.1080/00207178308932998 · Cited by 154 · see citing works
Robust stability analysis of constrained l1‐norm model predictive control
Genceli, H., & Nikolaou, M. (1993) · AIChE Journal · doi:10.1002/aic.690391206 · Cited by 146 · see citing works
Stability margins of nonlinear receding-horizon control via inverse optimality
Magni, L., & Sepulchre, R. J. (1997) · Systems & Control Letters · doi:10.1016/s0167-6911(97)00079-0 · Cited by 143 · see citing works
Stability and Robustness of Nonlinear Receding Horizon Control
Nicolao, G. D., Magni, L., & Scattolini, R. (2000) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8407-5_1 · Cited by 143 · see citing works
Stable redesign of predictive control
Mosca, E., & Zhang, J. (1992) · Automatica · doi:10.1016/0005-1098(92)90065-n · Cited by 142 · see citing works
Receding horizon control and discontinuous state feedback stabilization
Meadows, E. S., Henson, M. A., Eaton, J. W., & Rawlings, J. B. (1995) · International Journal of Control · doi:10.1080/00207179508921593 · Cited by 140 · see citing works
Self-citationInput-output linearizing control of constrained nonlinear processes
Kurtz, M. J., & Henson, M. A. (1997) · Journal of Process Control · doi:10.1016/s0959-1524(96)00006-6 · Cited by 138 · see citing works
Stabilizing state-feedback design via the moving horizon method
Kwon, W. H., Bruckstein, A. M., & Kailath, T. (1982) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1982.268433 · Cited by 138 · see citing works
Fulfilling Hard Constraints in Uncertain Linear Systems by Reference Managing
Bemporad, A., & Mosca, E. (1998) · Automatica · doi:10.1016/s0005-1098(97)00213-6 · Cited by 137 · see citing works
Meadows, E. S., & Rawlings, J. B. (1997) · Prentice-Hall, Inc eBooks · Cited by 122 · see citing works
Self-citationA game theoretic approach to nonlinear robust receding horizon control of constrained systems
Chen, H., Scherer, C. W., & Allgöwer, F. (1997) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.1997.612023 · Cited by 117 · see citing works
Gilbert, É., Kolmanovsky, I. V., & Tan, K. T. (2002) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1994.411031 · Cited by 112 · see citing works
Nonlinear Model Predictive Control Schemes with Guaranteed Stability
Chen, H., & Allgöwer, F. (1998) · Springer eBooks · doi:10.1007/978-94-011-5094-1_16 · Cited by 110 · see citing works
FOUNDATIONS OF OPTIMAL CONTROL THEORY,
Lee, E. B., & Markus, L. (1967) · Defense Technical Information Center (DTIC) · Cited by 108 · see citing works
Heuristically enhanced feedback control of constrained discrete-time linear systems
Sznaier, M., & Damborg, M. J. (1990) · Automatica · doi:10.1016/0005-1098(90)90023-b · Cited by 103 · see citing works
Yang, T., & Polak, E. (1993) · International Journal of Control · doi:10.1080/00207179308923033 · Cited by 103 · see citing works
Linear quadratic optimal estimation and control with receding horizon
Thomas, Y. (1975) · Electronics Letters · doi:10.1049/el:19750015 · Cited by 103 · see citing works
A receding–horizon approach to the nonlinear H∞ control problem
Magni, L., Nijmeijer, H., & van der Schaft, A. J. (2001) · Automatica · doi:10.1016/s0005-1098(00)00166-7 · Cited by 100 · see citing works
NONLINEAR MODEL PREDICTIVE CONTROL: A TUTORIAL AND SURVEY
Rawlings, J. B., Meadows, E. S., & Muske, K. R. (1994) · Elsevier eBooks · doi:10.1016/b978-0-08-042229-9.50034-3 · Cited by 99 · see citing works
Self-citationAlamir, M., & Bornard, G. (1995) · Automatica · doi:10.1016/0005-1098(95)00042-u · Cited by 94 · see citing works
Polak, E., & Yang, T. (1993) · International Journal of Control · doi:10.1080/00207179308923019 · Cited by 89 · see citing works
On the robustness of receding-horizon control with terminal constraints
Nicolao, G. D., Magni, L., & Scattolini, R. (1996) · IEEE Transactions on Automatic Control · doi:10.1109/9.486649 · Cited by 88 · see citing works
Fake algebraic Riccati techniques and stability
Poubelle, M.-A., Bitmead, R. R., & GEVERS, M. R. (1988) · IEEE Transactions on Automatic Control · doi:10.1109/9.192194 · Cited by 80 · see citing works
Use of linear programming methods for synthesizing sampled-data automatic systems
Propoi, A. I. (1963) · Medical Entomology and Zoology · Cited by 74 · see citing works
Receding horizon control of nonlinear systems
Mayne, D. Q., & Michalska, H. H. (2003) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1988.194354 · Cited by 67 · see citing works
Self-citationAdvances in nonlinear programming concepts for process control
Biegler, L. T. (1998) · Journal of Process Control · doi:10.1016/s0959-1524(98)00009-2 · Cited by 65 · see citing works
Receding horizon revisited: An easy way to robustly stabilize an LTV system
Tadmor, G. (1992) · Systems & Control Letters · doi:10.1016/0167-6911(92)90058-z · Cited by 57 · see citing works
Optimization in Model Based Control 1
Mayne, D. Q. (1995) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)47043-1 · Cited by 56 · see citing works
Self-citationDual-Receding Horizon Control of Constrained Discrete Time Systems
Chisci, L., Lombardi, A., & Mosca, E. (1996) · European Journal of Control · doi:10.1016/s0947-3580(96)70052-3 · Cited by 54 · see citing works
On the stabilizing property of SIORHC
Bemporad, A., Chisci, L., & Mosca, E. (1994) · Automatica · doi:10.1016/0005-1098(94)90064-7 · Cited by 54 · see citing works
Adaptive Optimal Control The Thinking Man's GPC
Bitmead, R., Gevers, M., & Wertz, V. (1990) · eScholarship (California Digital Library) · Cited by 54 · see citing works
Marquis, P., & Broustail, J. P. (1988) · IFAC Proceedings Volumes · doi:10.1016/b978-0-08-035735-5.50010-3 · Cited by 53 · see citing works
A computationally efficient nonlinear MPC algorithm
Zheng, A. (1997) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.1997.610858 · Cited by 51 · see citing works
A game theoretic approach to moving horizon control
Lall, S., & Glover, K. (1993) · Cited by 50 · see citing works
Stabilizing I/O receding horizon control
Mosca, E., Lemos, J. M., & Zhang, J. (1990) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1990.203454 · Cited by 49 · see citing works
Case studies of model-predictive control in pulp and paper production
Ricker, N. L., Subrahmanian, T., & Sim, T. (1988) · IFAC Proceedings Volumes · doi:10.1016/b978-0-08-035735-5.50007-3 · Cited by 44 · see citing works
Output Feedback Receding-Horizon Control of Discrete-Time Nonlinear Systems
Magni, L., Nicolao, G. D., & Scattolini, R. (1998) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)40370-3 · Cited by 43 · see citing works
Bemporad, A. (1998) · Automatica · doi:10.1016/s0005-1098(98)00066-1 · Cited by 42 · see citing works
Constrained finite receding horizon linear quadratic control
Primbs, J. A., & Nevistic, V. (2002) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1997.652335 · Cited by 37 · see citing works
Performance bounds for robust quadratic dynamic matrix control with end condition
Vuthandam, P., Genceli, H., & Nikolaou, M. (1995) · AIChE Journal · doi:10.1002/aic.690410908 · Cited by 36 · see citing works
Control of Nonlinear Systems Subject to Input Constraints
Oliveira, S. L., Nevistic, V., & Morari, M. (1995) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)46798-x · Cited by 35 · see citing works
Polak, E., & Yang, T. (1993) · International Journal of Control · doi:10.1080/00207179308923020 · Cited by 35 · see citing works
Predictive Control of Constrained Hybrid Systems
Bemporad, A., & Morari, M. (2000) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8407-5_4 · Cited by 29 · see citing works
Nevistic, V., & Primbs, J. A. (1997) · CaltechAUTHORS (California Institute of Technology) · Cited by 24 · see citing works
Robust predictive control of systems with uncertain impulse response
Nicolao, G. D., Magni, L., & Scattolini, R. (1996) · Automatica · doi:10.1016/0005-1098(96)00082-9 · Cited by 23 · see citing works
A Self-tuning Predictor as Operator Guide
Keyser, R. M. C. D., & Cauwenberghe, A. R. V. (1979) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)65550-2 · Cited by 23 · see citing works
Model predictive control for a class of hybrid systems
Slupphaug, O., & Foss, B. A. (1997) · European Control Conference (ECC) · doi:10.23919/ecc.1997.7082584 · Cited by 21 · see citing works
On Receding Horizon Feedback Control
Chen, C., & Shaw, L. (1981) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)63513-4 · Cited by 20 · see citing works
Robustness of receding horizon control for nonlinear discrete-time systems
Nicolao, G. D., Magni, L., & Scattolini, R. (1999) · Lecture notes in control and information sciences · doi:10.1007/bfb0109883 · Cited by 19 · see citing works
A New Formulation of Receding Horizon Stabilising Control without Terminal Constraint on the State
Michalska, H. H. (1997) · European Journal of Control · doi:10.1016/s0947-3580(97)70058-x · Cited by 19 · see citing works
On receding horizon extensions and control Lyapunov functions
Primbs, J. A., Nevistic, V., & Doyle, J. (1998) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.1998.703180 · Cited by 19 · see citing works
A Framework for Control, State Estimation, Fault Detection, and Verification of Hybrid Systems
Morari, M., Bemporad, A., & Mignone, D. (1999) · at - Automatisierungstechnik · doi:10.1524/auto.1999.47.8.374 · Cited by 16 · see citing works
Stabilizing I-O receding horizon control of CARMA plants
Chisci, L., & Mosca, E. (1994) · IEEE Transactions on Automatic Control · doi:10.1109/9.280772 · Cited by 15 · see citing works
Dynamic programming and model predictive control
Meadows, E. S. (1997) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.1997.610861 · Cited by 15 · see citing works
Unconstrained receding horizon control of nonlinear systems
Jadbabaie, A., Yu, J., & Hauser, J. (2003) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.1999.827794 · Cited by 14 · see citing works
Fake Riccati equations for stable receding-horizon control
Nicoiao, G. D., & Bitmead, R. R. (1997) · European Control Conference (ECC) · doi:10.23919/ecc.1997.7082620 · Cited by 13 · see citing works
Keerthi, S. S. (1986) · Deep Blue (University of Michigan) · Cited by 13 · see citing works
Kantor, J. C., García, C. E., & Carnahan, B. (1997) · Cited by 10 · see citing works
Feedback Through Steady-State Target Optimization for Nonlinear Model Predictive Control
Meadows, E. S., & Badgwell, T. A. (1998) · Journal of Vibration and Control · doi:10.1177/107754639800400105 · Cited by 10 · see citing works
Application of bilinear transformation to root locus plotting
POWER, H. M. (1970) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1970.1099579 · Cited by 5 · see citing works
The Receding Horizon Approach to H 1 Control of Nonlinear Systems
Gallestey, E., & James, M. R. (2000) · Cited by 2 · see citing works
Flagged first, then by citations
3 of the 127 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
A survey of industrial model predictive control technology
Qin, S. J., & Badgwell, T. A. (2003) · Control Engineering Practice · doi:10.1016/s0967-0661(02)00186-7 · Cited by 5,111 · see citing works
Barrier Lyapunov Functions for the control of output-constrained nonlinear systems
Tee, K. P., Ge, S. S., & Tay, E. H. (2009) · Automatica · doi:10.1016/j.automatica.2008.11.017 · Cited by 2,920 · see citing works
A Survey of Motion Planning and Control Techniques for Self-Driving Urban Vehicles
Paden, B. A., Čáp, M., Yong, S. Z., Yershov, D. S., & Frazzoli, E. (2016) · IEEE Transactions on Intelligent Vehicles · doi:10.1109/tiv.2016.2578706 · Cited by 2,601 · see citing works
Model predictive control: Recent developments and future promise
Mayne, D. Q. (2014) · Automatica · doi:10.1016/j.automatica.2014.10.128 · Cited by 1,984 · see citing works
Self-citationPredictive Control in Power Electronics and Drives
Cortés, P., Kaźmierkowski, M. P., Kennel, R. M., Quevedo, D. E., & Rodríguez, J. (2008) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2008.2007480 · Cited by 1,752 · see citing works
Robust model predictive control of constrained linear systems with bounded disturbances
Mayne, D. Q., Seron, M. M., & Raković, S. V. (2004) · Automatica · doi:10.1016/j.automatica.2004.08.019 · Cited by 1,680 · see citing works
Self-citationPredictive Control for Linear and Hybrid Systems
Borrelli, F., Bemporad, A., & Morari, M. (2017) · Cambridge University Press eBooks · doi:10.1017/9781139061759 · Cited by 1,445 · see citing works
Predictive Active Steering Control for Autonomous Vehicle Systems
Falcone, P., Borrelli, F., Asgari, J., Tseng, H. E., & Hrovat, D. (2007) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2007.894653 · Cited by 1,415 · see citing works
Fast Model Predictive Control Using Online Optimization
Wang, Y., & Boyd, S. (2009) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2009.2017934 · Cited by 1,383 · see citing works
Architectures for distributed and hierarchical Model Predictive Control – A review
Scattolini, R. (2009) · Journal of Process Control · doi:10.1016/j.jprocont.2009.02.003 · Cited by 1,292 · see citing works
Corriou, J. (2004) · Springer eBooks · doi:10.1007/978-1-4471-3848-8_16 · Cited by 1,271 · see citing works
Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control
Korda, M., & Mezić, I. (2018) · Automatica · doi:10.1016/j.automatica.2018.03.046 · Cited by 1,166 · see citing works
Review on model predictive control: an engineering perspective
Schwenzer, M., Ay, M., Bergs, T., & Abel, D. (2021) · The International Journal of Advanced Manufacturing Technology · doi:10.1007/s00170-021-07682-3 · Cited by 1,145 · see citing works
Tutorial overview of model predictive control
Rawlings, J. B. (2000) · IEEE Control Systems · doi:10.1109/37.845037 · Cited by 1,111 · see citing works
Self-citationControl of nonlinear systems with time-varying output constraints
Tee, K. P., Ren, B., & Ge, S. S. (2011) · Automatica · doi:10.1016/j.automatica.2011.08.044 · Cited by 1,065 · see citing works
Huang, B., Qi, Y., & Murshed, A. M. (2012) · doi:10.1002/9781118501054.ch6 · Cited by 1,047 · see citing works
Multi-Parametric Toolbox (MPT)
Kvasnica, M., Grieder, P., Baotić, M., & Morari, M. (2004) · Lecture notes in computer science · doi:10.1007/978-3-540-24743-2_30 · Cited by 986 · see citing works
Distributed model predictive control
Camponogara, E., Jia, D., Krogh, B. H., & Talukdar, S. (2002) · IEEE Control Systems · doi:10.1109/37.980246 · Cited by 973 · see citing works
Stochastic Model Predictive Control: An Overview and Perspectives for Future Research
Mesbah, A. (2016) · IEEE Control Systems · doi:10.1109/mcs.2016.2602087 · Cited by 931 · see citing works
Distributed model predictive control: A tutorial review and future research directions
Christofides, P. D., Scattolini, R., de la Peña, D. M., & Liu, J. (2012) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2012.05.011 · Cited by 902 · see citing works
Rao, C. V., Rawlings, J. B., & Mayne, D. Q. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.808470 · Cited by 899 · see citing works
Self-citationLiu, Y., & Tong, S. (2015) · Automatica · doi:10.1016/j.automatica.2015.10.034 · Cited by 885 · see citing works
Learning-Based Model Predictive Control: Toward Safe Learning in Control
Hewing, L., Wabersich, K. P., Menner, M., & Zeilinger, M. N. (2019) · Annual Review of Control Robotics and Autonomous Systems · doi:10.1146/annurev-control-090419-075625 · Cited by 849 · see citing works
Invariant approximations of the minimal robust positively Invariant set
Raković, S. V., Kerrigan, E. C., Kouramas, K., & Mayne, D. Q. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.843854 · Cited by 840 · see citing works
Self-citationData-Driven Model Predictive Control With Stability and Robustness Guarantees
Berberich, J., Köhler, J., Müller, M. A., & Allgöwer, F. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.3000182 · Cited by 812 · see citing works
Distributed receding horizon control for multi-vehicle formation stabilization
Dunbar, W. B., & Murray, R. M. (2006) · Automatica · doi:10.1016/j.automatica.2005.12.008 · Cited by 759 · see citing works
Model predictive control based on linear programming - the explicit solution
Bemporad, A., Borrelli, F., & Morari, M. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.805688 · Cited by 756 · see citing works
A tutorial review of economic model predictive control methods
Ellis, M. J., Durand, H., & Christofides, P. D. (2014) · Journal of Process Control · doi:10.1016/j.jprocont.2014.03.010 · Cited by 731 · see citing works
A continuation/GMRES method for fast computation of nonlinear receding horizon control
Ohtsuka, T. (2004) · Automatica · doi:10.1016/j.automatica.2003.11.005 · Cited by 725 · see citing works
Constructive nonlinear control: a historical perspective
Kokotović, P. V., & Arcak, M. (2001) · Automatica · doi:10.1016/s0005-1098(01)00002-4 · Cited by 720 · see citing works
Safe and Secure Networked Control Systems under Denial-of-Service Attacks
Amin, S., Cárdenas, Á. A., & Sastry, S. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-00602-9_3 · Cited by 707 · see citing works
Robust model predictive control using tubes
Langson, W., Chryssochoos, I., Raković, S. V., & Mayne, D. Q. (2003) · Automatica · doi:10.1016/j.automatica.2003.08.009 · Cited by 675 · see citing works
Self-citationControl of connected and automated vehicles: State of the art and future challenges
Guanetti, J., Kim, Y., & Borrelli, F. (2018) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2018.04.011 · Cited by 649 · see citing works
Model predictive control: Review of the three decades of development
Lee, J. H. (2011) · International Journal of Control Automation and Systems · doi:10.1007/s12555-011-0300-6 · Cited by 643 · see citing works
Wang, T., Gao, H., & Qiu, J. (2015) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2411671 · Cited by 636 · see citing works
Zheng, Y., Li, S. E., Li, K., Borrelli, F., & Hedrick, J. K. (2016) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2016.2594588 · Cited by 634 · see citing works
Shen, C., Shi, Y., & Buckham, B. J. (2017) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2017.2779442 · Cited by 625 · see citing works
Åström, K. J., & Bell, R. D. (2000) · Automatica · doi:10.1016/s0005-1098(99)00171-5 · Cited by 609 · see citing works
Constrained linear state estimation—a moving horizon approach
Rao, C. V., Rawlings, J. B., & Lee, J. H. (2001) · Automatica · doi:10.1016/s0005-1098(01)00115-7 · Cited by 595 · see citing works
Self-citationOptimization over state feedback policies for robust control with constraints
Goulart, P. J., Kerrigan, E. C., & Maciejowski, J. M. (2006) · Automatica · doi:10.1016/j.automatica.2005.08.023 · Cited by 580 · see citing works
Zhao, K., & Song, Y. (2018) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2018.2845707 · Cited by 569 · see citing works
Model Predictive Control for the Operation of Building Cooling Systems
Ma, Y., Borrelli, F., Hencey, B., Coffey, B., Bengea, S. C., & Haves, P. (2011) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2011.2124461 · Cited by 564 · see citing works
Efficient Numerical Methods for Nonlinear MPC and Moving Horizon Estimation
Diehl, M., Ferreau, H. J., & Haverbeke, N. (2009) · Lecture notes in control and information sciences · doi:10.1007/978-3-642-01094-1_32 · Cited by 554 · see citing works
Exponential Control Barrier Functions for enforcing high relative-degree safety-critical constraints
Nguyen, Q., & Sreenath, K. (2016) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2016.7524935 · Cited by 549 · see citing works
Antiwindup for stable linear systems with input saturation: An LMI-based synthesis
Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A. R., Turner, M. C., & Zaccarian, L. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.816965 · Cited by 545 · see citing works
A Survey on Explicit Model Predictive Control
Alessio, A., & Bemporad, A. (2009) · Lecture notes in control and information sciences · doi:10.1007/978-3-642-01094-1_29 · Cited by 542 · see citing works
Wieber, P.-B. (2006) · IEEE-RAS International Conference on Humanoid Robots (Humanoids) · doi:10.1109/ichr.2006.321375 · Cited by 542 · see citing works
Provably safe and robust learning-based model predictive control
Aswani, A. J., González, H., Sastry, S., & Tomlin, C. J. (2013) · Automatica · doi:10.1016/j.automatica.2013.02.003 · Cited by 540 · see citing works
Geroliminis, N., Haddad, J., & Ramezani, M. (2012) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2012.2216877 · Cited by 532 · see citing works
Feedback control for optimal process operation
Engell, S. (2007) · Journal of Process Control · doi:10.1016/j.jprocont.2006.10.011 · Cited by 529 · see citing works
MPC for tracking piecewise constant references for constrained linear systems
Limón, D., Alvarado, I., Álamo, T., & Camacho, E. F. (2008) · Automatica · doi:10.1016/j.automatica.2008.01.023 · Cited by 527 · see citing works
Min-max control of constrained uncertain discrete-time linear systems
Bemporad, A., Borrelli, F., & Morari, M. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.816984 · Cited by 517 · see citing works
A Lyapunov Function for Economic Optimizing Model Predictive Control
Diehl, M., Amrit, R., & Rawlings, J. B. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2101291 · Cited by 513 · see citing works
Self-citationEvent-triggered robust model predictive control of continuous-time nonlinear systems
Li, H., & Shi, Y. (2014) · Automatica · doi:10.1016/j.automatica.2014.03.015 · Cited by 512 · see citing works
On the Performance Analysis of Resilient Networked Control Systems Under Replay Attacks
Zhu, M., & Martı́nez, S. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2279896 · Cited by 511 · see citing works
Nešić, D., & Teel, A. R. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.831175 · Cited by 511 · see citing works
Robust output feedback model predictive control of constrained linear systems
Mayne, D. Q., Raković, S. V., Findeisen, R., & Allgöwer, F. (2006) · Automatica · doi:10.1016/j.automatica.2006.03.005 · Cited by 505 · see citing works
Self-citationCooperative distributed model predictive control
Stewart, B. T., Venkat, A. N., Rawlings, J. B., Wright, S. J., & Pannocchia, G. (2010) · Systems & Control Letters · doi:10.1016/j.sysconle.2010.06.005 · Cited by 503 · see citing works
Self-citationModel Predictive Control of Power Electronic Systems: Methods, Results, and Challenges
Καραμανάκος, Π., Liegmann, E., Geyer, T., & Kennel, R. M. (2020) · IEEE Open Journal of Industry Applications · doi:10.1109/ojia.2020.3020184 · Cited by 501 · see citing works
Control of nonlinear systems with partial state constraints using a barrier Lyapunov function
Tee, K. P., & Ge, S. S. (2011) · International Journal of Control · doi:10.1080/00207179.2011.631192 · Cited by 491 · see citing works
Home energy management systems: A review of modelling and complexity
Beaudin, M., & Zareipour, H. (2015) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2015.01.046 · Cited by 481 · see citing works
Distributed Receding Horizon Control of Vehicle Platoons: Stability and String Stability
Dunbar, W. B., & Caveney, D. S. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2159651 · Cited by 467 · see citing works
Disturbance modeling for offset-free linear model predictive control
Muske, K. R., & Badgwell, T. A. (2002) · Journal of Process Control · doi:10.1016/s0959-1524(01)00051-8 · Cited by 465 · see citing works
Tube‐based robust nonlinear model predictive control
Mayne, D. Q., Kerrigan, E. C., van Wyk, E. J., & Falugi, P. (2011) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1758 · Cited by 464 · see citing works
Self-citationDynamic modeling and control of supply chain systems: A review
Sarimveis, H., Patrinos, P., Tarantilis, C. D., & Kiranoudis, C. T. (2007) · Computers & Operations Research · doi:10.1016/j.cor.2007.01.017 · Cited by 459 · see citing works
Design and Implementation of Model Predictive Control for Electrical Motor Drives
Bolognani, S., Bolognani, S., Peretti, L., & Zigliotto, M. (2008) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2008.2007547 · Cited by 452 · see citing works
Constrained Optimal Control of Linear and Hybrid Systems
(2003) · Springer eBooks · doi:10.1007/3-540-36225-8 · Cited by 435 · see citing works
Nonlinear Model Predictive Control
Morari, M., Raimondo, D. M., Magni, L., Thoma, M., & Allgöwer, F. (2009) · Lecture notes in control and information sciences · doi:10.1007/978-3-642-01094-1 · Cited by 437 · see citing works
MPC-based approach to active steering for autonomous vehicle systems
Borrelli, F., Falcone, P., Keviczky, T., Asgari, J., & Hrovat, D. (2005) · International Journal of Vehicle Autonomous Systems · doi:10.1504/ijvas.2005.008237 · Cited by 428 · see citing works
Decentralized receding horizon control for large scale dynamically decoupled systems
Keviczky, T., Borrelli, F., & Balas, G. (2006) · Automatica · doi:10.1016/j.automatica.2006.07.008 · Cited by 420 · see citing works
Optimal Coordination of Variable Speed Limits to Suppress Shock Waves
Hegyi, A., Schutter, B. D., & Hellendoorn, J. (2005) · IEEE Transactions on Intelligent Transportation Systems · doi:10.1109/tits.2004.842408 · Cited by 423 · see citing works
Model Predictive Control in Aerospace Systems: Current State and Opportunities
Eren, U., Prach, A., Koçer, B. B., Raković, S. V., Kayacan, E., & Acikmese, B. A. (2017) · Journal of Guidance Control and Dynamics · doi:10.2514/1.g002507 · Cited by 412 · see citing works
Gilbert, E. G., & Kolmanovsky, I. V. (2002) · Automatica · doi:10.1016/s0005-1098(02)00135-8 · Cited by 404 · see citing works
Li, Z., Deng, J., Lu, R., Xu, Y., Bai, J., & Su, C. (2015) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2015.2465352 · Cited by 400 · see citing works
Distributed Receding Horizon Control of Dynamically Coupled Nonlinear Systems
Dunbar, W. B. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.900828 · Cited by 388 · see citing works
Predictive control of switched nonlinear systems with scheduled mode transitions
Mhaskar, P., El‐Farra, N. H., & Christofides, P. D. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.858692 · Cited by 386 · see citing works
Robust constraint satisfaction: invariant sets and predictive control
Kerrigan, E. C. (2000) · doi:10.25561/4346 · Cited by 382 · see citing works
MPC-based yaw and lateral stabilisation via active front steering and braking
Falcone, P., Tseng, H. E., Borrelli, F., Asgari, J., & Hrovat, D. (2008) · Vehicle System Dynamics · doi:10.1080/00423110802018297 · Cited by 387 · see citing works
Model Predictive Control of Swarms of Spacecraft Using Sequential Convex Programming
Morgan, D., Chung, S., & Hadaegh, F. Y. (2014) · Journal of Guidance Control and Dynamics · doi:10.2514/1.g000218 · Cited by 381 · see citing works
Neural Networks-Based Adaptive Control for Nonlinear State Constrained Systems With Input Delay
Li, D.-P., Liu, Y.-J., Tong, S., Chen, C. L. P., & Li, D.-J. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2018.2799683 · Cited by 382 · see citing works
Nonlinear model predictive control of wind turbines using LIDAR
Schlipf, D., Schlipf, D., & Kühn, M. (2012) · Wind Energy · doi:10.1002/we.1533 · Cited by 375 · see citing works
Economic model predictive control of nonlinear process systems using Lyapunov techniques
Heidarinejad, M., Liu, J., & Christofides, P. D. (2011) · AIChE Journal · doi:10.1002/aic.12672 · Cited by 370 · see citing works
Dynamic Programming and Suboptimal Control: A Survey from ADP to MPC*
Bertsekas, D. P. (2005) · European Journal of Control · doi:10.3166/ejc.11.310-334 · Cited by 366 · see citing works
Linear offset-free Model Predictive Control
Maeder, U., Borrelli, F., & Morari, M. (2009) · Automatica · doi:10.1016/j.automatica.2009.06.005 · Cited by 366 · see citing works
Economic receding horizon control without terminal constraints
Grüne, L. (2013) · Automatica · doi:10.1016/j.automatica.2012.12.003 · Cited by 363 · see citing works
A stabilizing model-based predictive control algorithm for nonlinear systems
Magni, L., Nicolao, G. D., Magnani, L., & Scattolini, R. (2001) · Automatica · doi:10.1016/s0005-1098(01)00083-8 · Cited by 356 · see citing works
State and Output Feedback Nonlinear Model Predictive Control: An Overview
Findeisen, R., Imsland, L., Allgöwer, F., & Foss, B. A. (2003) · European Journal of Control · doi:10.3166/ejc.9.190-206 · Cited by 357 · see citing works
Mhaskar, P., El‐Farra, N. H., & Christofides, P. D. (2006) · Systems & Control Letters · doi:10.1016/j.sysconle.2005.09.014 · Cited by 353 · see citing works
Nonlinear offset-free model predictive control
Morari, M., & Maeder, U. (2012) · Automatica · doi:10.1016/j.automatica.2012.06.038 · Cited by 351 · see citing works
Ma, Y., Kelman, A. D., Daly, A., & Borrelli, F. (2012) · IEEE Control Systems · doi:10.1109/mcs.2011.2172532 · Cited by 347 · see citing works
Robust distributed model predictive control
Richards, A. G., & How, J. P. (2007) · International Journal of Control · doi:10.1080/00207170701491070 · Cited by 346 · see citing works
Nonlinear Model Predictive Control: From Theory to Application
Allgöwer, F., Findeisen, R., & Nagy, Z. K. (2004) · doi:10.6967/jcice.200405.0299 · Cited by 346 · see citing works
Learning Model Predictive Control for Iterative Tasks. A Data-Driven Control Framework
Rosolia, U., & Borrelli, F. (2017) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2017.2753460 · Cited by 346 · see citing works
Mattingley, J., Wang, Y., & Boyd, S. (2011) · IEEE Control Systems · doi:10.1109/mcs.2011.940571 · Cited by 346 · see citing works
Efficient interior point methods for multistage problems arising in receding horizon control
Domahidi, A., Zgraggen, A. U., Zeilinger, M. N., Morari, M., & Jones, C. N. (2012) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2012.6426855 · Cited by 344 · see citing works
Stochastic linear Model Predictive Control with chance constraints – A review
Farina, M., Giulioni, L., & Scattolini, R. (2016) · Journal of Process Control · doi:10.1016/j.jprocont.2016.03.005 · Cited by 343 · see citing works
Data-driven discovery of Koopman eigenfunctions for control
Kaiser, E., Kutz, J. N., & Brunton, S. L. (2021) · Machine Learning Science and Technology · doi:10.1088/2632-2153/abf0f5 · Cited by 353 · see citing works
Marruedo, D. L., Alamo, T., & Camacho, E. F. (2004) · Proceedings of the 41st IEEE Conference on Decision and Control, 2002. · doi:10.1109/cdc.2002.1185106 · Cited by 340 · see citing works
Smarra, F., Jain, A., de Rubeis, T., Ambrosini, D., D’Innocenzo, A., & Mangharam, R. (2018) · Applied Energy · doi:10.1016/j.apenergy.2018.02.126 · Cited by 340 · see citing works
A Review of Safe Reinforcement Learning: Methods, Theories, and Applications
Gu, S., Yang, L., Du, Y., Chen, G., Walter, F., Wang, Y.-X., & Knoll, A. (2024) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2024.3457538 · Cited by 341 · see citing works
“Inthis section,wewillinvestigatemodel-basedsafeRLmethodsfrom differentperspectives:policyoptimization-basedapproaches, controltheory-basedapproaches,formalmethods-basedap-proaches, and Gaussian process-based approaches.”
- Authors
- Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M.
- Affiliations
- Imperial College London (GB)
- University of Wisconsin–Madison (US)
- Orange (France) (FR)
- Corresponding author
- Mayne, D.Q.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2000-06
- Volume
- 36
- Issue
- 6
- Pages
- 789-814
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W1978956894
- Cited by
- 8,736
- References
- 127
- Citations by year
- 2026: 406 · 2025: 372 · 2024: 336 · 2023: 400 · 2022: 386 · 2021: 424 · 2020: 487 · 2019: 448 · 2018: 426 · 2017: 404 · 2016: 412 · 2015: 400 · 2014: 455 · 2013: 397 · 2012: 380
- FWCI
- 231.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Automatica (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Keywords
- constrained model predictive control, stability analysis, optimality, finite-horizon optimal control, infinite horizon optimal control, nonlinear model predictive control, linear model predictive control, hard constraints, petrochemical process control, nonlinear control
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
