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Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution
Open accessAbstract
In this paper we introduce a new stage cost and show that the use of this cost allows one to formulate a robustly stable feedback min–max model predictive control problem that can be solved using a single linear program. Furthermore, this is a multi‐parametric linear program, which implies that the optimal control law is piecewise affine and can be explicitly pre‐computed so that the linear program does not have to be solved on‐line. We assume that the plant model is known, is discrete‐time and linear time‐invariant, is subject to unknown but bounded state disturbances and that the states of the system are measured. Two numerical examples are presented; one of these is taken from the literature, so that a direct comparison of solutions and computational complexity with earlier proposals is possible. Copyright © 2004 John Wiley & Sons, Ltd.
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Citations
Cites
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
Cited by
(2013) · Dynamic Modelling and Predictive Control in Solid Oxide Fuel Cells: First Principle and Data‐Based Approaches · doi:10.1002/9781118501054.ch6 · Cited by 1,047
Optimization 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
Self-citationRobust distributed model predictive control
Richards, A., & How, J. P. (2007) · International Journal of Control · doi:10.1080/00207170701491070 · Cited by 344
Action robust reinforcement learning and applications in continuous control
Tessler, C., Efroni, Y., & Mannor, S. (2019) · arXiv · doi:10.48550/arxiv.1901.09184 · Cited by 108
Metadata
- Authors
- Kerrigan, E. C., & Maciejowski, J. M.
- Venue
- International Journal of Robust and Nonlinear Control
- Publisher
- Wiley
- Published
- 2004-01-29
- Volume
- 14
- Issue
- 4
- Pages
- 395-413
- ISSN
- 1049-8923 (ISSN-L)
- 1099-1239
- OpenAlex
- W2149276643
- Cited by
- 222
- References
- 1
- FWCI
- 36.40
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kerrigan, E. C., & Maciejowski, J. M. (2004). Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.889
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