A framework for multiple robust explicit MPC controllers for linear systems

DOI10.1080/00207170802400947zbMath1194.93051OpenAlexW2027537341MaRDI QIDQ5323226

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Publication date: 23 July 2009

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170802400947

zbMATH Keywords

explicit model predictive controllinear constrained systems with bounded disturbancesmulti-mode controllerminimal disturbance invariant set

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05)

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Cites Work

• Theory and computation of disturbance invariant sets for discrete-time linear systems
• Worst-case formulations of model predictive control for systems with bounded parameters
• Robust time-optimal control of constrained linear systems
• Combining switching, over-saturation and scaling to optimise control performance in the presence of model uncertainty and input saturation
• Robust model predictive control of constrained linear systems with bounded disturbances
• An algorithm for multi-parametric quadratic programming and explicit MPC solutions
• The minimal disturbance invariant set: outer approximations via its partial sums
• Efficient robust constrained model predictive control with a time varying terminal constraint set
• Computationally efficient algorithms for constraint handling with guaranteed stability and near optimality
• Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution
• Min-max feedback model predictive control for constrained linear systems
• Invariant approximations of the minimal robust positively Invariant set
• Systems with persistent disturbances: Predictive control with restricted constraints
• The explicit linear quadratic regulator for constrained systems

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