The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
The advanced-step NMPC controller: Optimality, stability and robustness
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(2021) · A First Course in Statistical Programming with R · doi:10.1017/9781108993456.011 · Cited by 13,724
(1999) · Springer Series in Operations Research and Financial Engineering · doi:10.1007/b98874 · Cited by 9,482
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Dennis, J. E., & Schnabel, R. B. (1996) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971200 · Cited by 7,615
Applied Optimal Control: Optimization, Estimation, and Control
Bryson, A. E., & Ho, Y.-C. (2018) · Routledge eBooks · doi:10.1201/9781315137667 · Cited by 6,015
The explicit linear quadratic regulator for constrained systems
Bemporad, A., Morari, M., Dua, V., & Pistikopoulos, E. N. (2002) · Automatica · doi:10.1016/s0005-1098(01)00174-1 · Cited by 3,260
J., J. E. (1979) · Technometrics · doi:10.1080/00401706.1979.10489803 · Cited by 3,073
Input-to-state stability for discrete-time nonlinear systems
Jiang, Z.-P., & Wang, Y. (2001) · Automatica · doi:10.1016/s0005-1098(01)00028-0 · Cited by 1,424
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
(1983) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(08)x6041-2 · Cited by 1,074
Dennis, J. E., & Schnabel, R. B. (1996) · Cited by 949
Keerthi, S. S., & Gilbert, E. G. (1988) · Journal of Optimization Theory and Applications · doi:10.1007/bf00938540 · Cited by 824
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
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 614
A Real-Time Iteration Scheme for Nonlinear Optimization in Optimal Feedback Control
Diehl, M., Bock, H. G., & Schlöder, J. P. (2005) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012902400713 · Cited by 570
Nonlinear Predictive Control and Moving Horizon Estimation — An Introductory Overview
Allgöwer, F., Badgwell, T. A., Qin, J. S., Rawlings, J. B., & Wright, S. J. (1999) · Advances in Control · doi:10.1007/978-1-4471-0853-5_19 · Cited by 474
Nonlinear Model Predictive Control: Towards New Challenging Applications
(2009) · Lecture Notes in Control and Information Sciences · doi:10.1007/978-3-642-01094-1 · Cited by 429
Nonlinear model predictive control
(1999) · Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) · doi:10.1109/acc.1999.782912 · Cited by 248
Nominal stability of real-time iteration scheme for nonlinear model predictive control
Diehl, M., Findeisen, R., Allgöwer, F., Bock, H. G., & Schlöder, J. P. (2005) · IEE Proceedings - Control Theory and Applications · doi:10.1049/ip-cta:20040008 · Cited by 216
Computational Delay in Nonlinear Model Predictive Control
Findeisen, R., & Allgöwer, F. (2004) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)38769-4 · Cited by 148
Advances in control : highlights of ECC '99
Frank, P. M. (1999) · Cited by 145
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
On-line implementation of nonlinear MPC: an experimental case study
Santos, L. O., Afonso, P., Castro, J. A. A. M., Oliveira, N. M. C., & Biegler, L. T. (2001) · Control Engineering Practice · doi:10.1016/s0967-0661(01)00049-1 · Cited by 105
Self-citationNonlinear Model Predictive Control:Challenges and Opportunities
Mayne, D. Q. (2000) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8407-5_2 · Cited by 101
Process control strategies for constrained nonlinear systems
Li, W. C., & Biegler, L. T. (1988) · Industrial & Engineering Chemistry Research · doi:10.1021/ie00080a014 · Cited by 99
Self-citationAn extension of Newton-type algorithms for nonlinear process control
Oliveira, N. M. C., & Biegler, L. T. (1995) · Automatica · doi:10.1016/0005-1098(94)00086-x · Cited by 98
Self-citationSensitivity Analysis and Real-Time Optimization of Parametric Nonlinear Programming Problems
Büskens, C., & Maurer, H. (2001) · Springer eBooks · doi:10.1007/978-3-662-04331-8_1 · Cited by 97
Computational Aspects of Approximate Explicit Nonlinear Model Predictive Control
Grancharova, A., Johansen, T. A., & Tøndel, P. (2007) · Springer eBooks · doi:10.1007/978-3-540-72699-9_14 · Cited by 68
A tool to analyze robust stability for constrained nonlinear MPC
Santos, L. O., Biegler, L. T., & Castro, J. A. A. M. (2007) · Journal of Process Control · doi:10.1016/j.jprocont.2007.10.004 · Cited by 20
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Cited by
Robustness of performance and stability for multistep and updated multistep MPC schemes
Grüne, L., & Palma, V. G. (2015) · Discrete and Continuous Dynamical Systems · doi:10.3934/dcds.2015.35.4385 · Cited by 20
Fang, Y., & Armaou, A. (2015) · 2015 American Control Conference (ACC) · doi:10.1109/acc.2015.7172221 · Cited by 14
Metadata
- Authors
- Zavala, V. M., & Biegler, L. T.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2009-01
- Volume
- 45
- Issue
- 1
- Pages
- 86-93
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2082056119
- Cited by
- 417
- References
- 27
- FWCI
- 31.46
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.