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Suboptimal model predictive control (feasibility implies stability)
Abstract
Practical difficulties involved in implementing stabilizing model predictive control laws for nonlinear systems are well known. Stabilizing formulations of the method normally rely on the assumption that global and exact solutions of nonconvex, nonlinear optimization problems are possible in limited computational time. In the paper, we first establish conditions under which suboptimal model predictive control (MPC) controllers are stabilizing; the conditions are mild holding out the hope that many existing controllers remain stabilizing even if optimality is lost. Second, we present and analyze two suboptimal MPC schemes that are guaranteed to be stabilizing, provided an initial feasible solution is available and for which the computational requirements are more reasonable.
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Citations
Cited by
Constrained model predictive control: Stability and optimality
Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000) · Automatica · doi:10.1016/s0005-1098(99)00214-9 · Cited by 8,736
Self-citationRao, C. V., Rawlings, J. B., & Mayne, D. Q. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.808470 · Cited by 894
Self-citationThe advanced-step NMPC controller: Optimality, stability and robustness
Zavala, V. M., & Biegler, L. T. (2009) · Automatica · doi:10.1016/j.automatica.2008.06.011 · Cited by 417
Infinite Horizon Optimal Control
Grüne, L., & Pannek, J. (2011) · Communications and Control Engineering · doi:10.1007/978-0-85729-501-9_4 · Cited by 5
Metadata
- Authors
- Scokaert, P. O. M., Mayne, D. Q., & Rawlings, J. B.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1999-03
- Volume
- 44
- Issue
- 3
- Pages
- 648-654
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2102737570
- Cited by
- 614
- References
- 0
- FWCI
- 21.64
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Suboptimal model predictive control (feasibility implies stability). https://app.cochat.ai/papers/10.1109/9.751369
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- Scokaert, P. O. M., Mayne, D. Q., & Rawlings, J. B. (1999). Suboptimal model predictive control (feasibility implies stability). IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.751369
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