Min-max control of constrained uncertain discrete-time linear systems

By Alberto Bemporad, Francesco Borrelli, Manfred Morari. IEEE Transactions on Automatic Control, 2003

559 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3854168fe90978b608dacc90bed0c97f29abc0f7

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In Control and Systems Engineering

Citations in the corpus

Multi-Parametric Toolbox (MPT) (2004, background): “This issue is addressed in [19, 6] where the authors present minimax methods which are able to cope with additive disturbances x(t + 1) = Ax(t) + Bu(t) + w, w ∈ W , (3.”
Dynamic modeling and control of supply chain systems: A review (2008, methodology): “This problem has been recently solved analytically through multi-parametric programming [172].”
Action Robust Reinforcement Learning and Applications in Continuous Control (2019, background): “Most closely related to our work, are max-min Robust Control approaches (e.g., Bemporad et al. (2003); Kerrigan & Maciejowski (2004); de la Pena et al. (2006).”
A survey on explicit model predictive control (2009, methodology): “The following min-max control problem is referred to as open-loop constrained robust optimal control problem (OL-CROC) [13]”
Enterprise-wide optimization for industrial demand side management: Fundamentals, advances, and perspectives (2016, background): “Several classes of recourse functions have been proposed in the literature (Bemporad et al., 2003; Chen & Zhang, 2009b; Bertsimas et al., 2011), among which the affine or linear decision rules (Ben-Tal et al., 2004) are most popular. While affine decision rules allow the formulation of efficient mul”
MIN-MAX MODEL PREDICTIVE CONTROL AS A QUADRATIC PROGRAM (2005, background): “For other approaches see (Kothare et al., 1996; Y.J.Wang and Rawlings, 2003; J.H.Lee and Yu, 1997; Bemporad et al., 2003) and the references therein.”
Optimization over state feedback policies for robust control with constraints (2006, background): “If all the relevant constraint sets are polyhedral and the cost function is suitably chosen, then the solution turns out to be a time-varying piecewise ane state feedback control policy [ 2 , 11, 17, 31, 46, 50].”
Offset‐free receding horizon control of constrained linear systems (2005, methodology): “Existing control algorithms, which address the problem of robust control of constrained s ystems, are usually based on ideas from set invariance [8, 9], reference governors [10, 11, 12, 13] or re ceding horizon control [14, 15, 16, 17, 18, 19, 20, 21, 22].”