The DOI matches its Crossref record; 124 of the 127 references it cites were found in a registry or an index.
Constrained model predictive control: Stability and optimality
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“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]
Citations
Cites
Bellman, R. E. (2010) · doi:10.1515/9781400835386 · Cited by 14,588
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 5,392
Lee, J. H., Kaisare, N. S., & García, C. E. (2007) · Springer eBooks · doi:10.1002/9781394333325.fmatter · Cited by 3,766
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
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 3,205
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
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
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
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
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
Research works printed but not linked: 13
- Allwright, J. C., (1993). On min-max model-based predictive control. Proceedings Oxford symposium on advances in model based predictive control, Oxford (pp. 4153–426).
- Camacho, E., & Bordons, C. (1998). Model predictive control. Berlin: Springer.
- De Nicolao, G., Magni, L., & Scattolini, R. (1996c). Stabilizing nonlinear receding horizon control via a nonquadratic penalty. Proceedings of the IMACS multiconference CESA, vol. 1, Lille, France (pp. 185–187).
- Gauthier, 1983, Commande multivariable en présence de constraintes de type inégalité, Revue d'Automatique d'Informatique et de Recherche Opérationnelle (RAIRO), 17, 205
- Kantor, J. C., Garcı́a, C. E., & Carnahan, B. (1997). (Eds.), Fifth international conference on chemical process control, CACHE, A.I.Ch.E.
- Magni, M., De Nicolao, G., Scattolini, R., & Allgöwer, F. (1999a). H∞ receding horizon control for non-linear discrete-time systems. Systems & Control Letters, submitted. · DOI
- Mayne, D. Q. (1997). Nonlinear model predictive control: An assessment. In: J. C. Kantor, C. E. Garcı́a, & B. Carnahan (Eds.), Fifth International Conference on Chemical Process Control, CACHE, A.I.Ch.E. (pp. 217–231).
- Mosca, E. (1994). Optimal, predictive and adaptive control, Information and system science Series. Englewoods Cliffs, NJ: Prentice Hall.
- Qin, S. J., & Badgwell, T. A. (1997). An overview of industrial model predictive control technology. In: J. C. Kantor, C. E. Garcı́a, & B. Carnahan (Eds.), Fifth International Conference on Chemical Process Control, CACHE, AIChE, (pp. 232–256).
- Rao, C. V., & Rawlings, J. B. (1998). Nonlinear moving horizon estimation. Preprints of international symposium on nonlinear model predictive control: Assessment and future directions, Monte Verità, Ascona, Switzerland (pp. 146–163).
- Richalet, J., Rault, A., Testud, J. L., & Papon, J. (1976). Algorithmic control of industrial processes. Proceedings of the Fourth IFAC symposium on identification and system parameter estimation (pp. 1119–1167).
- Robertson, D., & Lee, J. (1996). Statistical interpretation of constrained moving horizon estimation. Proceedings of A.I.Ch.E annual meeting, Chicago, IL.
- Wright, S. J. (1997). Applying new optimization algorithms to model predictive control. In: J.C. Kantor, C.E. Garcı́a, B. Carnahan (Eds.), Fifth international conference on chemical process control, CACHE, AIChE (pp. 147–155).
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
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
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 2,724
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
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
Metadata
- 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
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