Optimized robust control invariance for linear discrete-time systems: theoretical foundations

DOI10.1016/j.automatica.2006.11.006zbMath1117.93345OpenAlexW1968718177MaRDI QIDQ883377

Eric C. Kerrigan, David Q. Mayne, Konstantinos I. Kouramas, Saša V. Raković

Publication date: 4 June 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.11.006

zbMATH Keywords

linear systemsrobust controlset invarianceconstrained controloptimized robust control invariance

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity (robustness) (93B35) Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items (16)

On robust control invariance of Boolean control networks ⋮ Homothetic tube model predictive control ⋮ Coalitional predictive control: consensus-based coalition forming with robust regulation ⋮ Computation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints ⋮ Minimax optimal control of linear system with input-dependent uncertainty ⋮ Optimal scheduling and control for constrained multi‐agent networked control systems ⋮ Computation of robust control invariant sets with predefined complexity for uncertain systems ⋮ Robust coalitional model predictive control with plug-and-play capabilities ⋮ Robust invariant set analysis of Boolean networks ⋮ Finite alphabet control of logistic networks with discrete uncertainty ⋮ Unnamed Item ⋮ Computation of low-complexity control-invariant sets for systems with uncertain parameter dependence ⋮ Distributed predictive control with minimization of mutual disturbances ⋮ Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems ⋮ Admissible sets for slowly-varying discrete-time systems ⋮ Constraint-admissible sets for systems with soft constraints and their application in model predictive control

Uses Software

• MPT
• GBT

Cites Work

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• On the minimax reachability of target sets and target tubes
• Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions
• Constrained stabilization with an assigned initial condition set
• Computation of Maximal Safe Sets for Switching Systems
• Invariant approximations of the minimal robust positively Invariant set
• Infinite time reachability of state-space regions by using feedback control
• Viability theory
• The explicit linear quadratic regulator for constrained systems

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