On optimal system operation in robust economic MPC

DOI10.1016/j.automatica.2017.11.007zbMath1379.93034OpenAlexW2776020375MaRDI QIDQ1693718

Matthias A. Müller, Frank Allgöwer, Florian A. Bayer

Publication date: 31 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.11.007

zbMATH Keywords

stochastic disturbanceseconomic model predictive controlrobust model predictive control

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Stochastic systems in control theory (general) (93E03)

Related Items

A set-theoretic generalization of dissipativity with applications in tube MPC ⋮ Dissipativity in economic model predictive control: beyond steady-state optimality ⋮ Robust economic model predictive control of nonlinear networked control systems with communication delays ⋮ Economic MPC of Markov decision processes: dissipativity in undiscounted infinite-horizon optimal control

Cites Work

• Unnamed Item
• Economic model predictive control without terminal constraints for optimal periodic behavior
• Robust economic model predictive control using stochastic information
• Robust periodic economic MPC for linear systems
• General theorems on rates of convergence in distribution of random variables I. General limit theorems
• Theory and computation of disturbance invariant sets for discrete-time linear systems
• Robust model predictive control of constrained linear systems with bounded disturbances
• Set invariance in control
• Tube MPC scheme based on robust control invariant set with application to Lipschitz nonlinear systems
• Dissipative dynamical systems. I: General theory
• On Necessity and Robustness of Dissipativity in Economic Model Predictive Control
• An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
• Input-to-State Stability: A Unifying Framework for Robust Model Predictive Control
• Min-max feedback model predictive control for constrained linear systems
• Min-max model predictive control of nonlinear systems using discontinuous feedbacks
• A Lyapunov Function for Economic Optimizing Model Predictive Control
• Theory of Stochastic Dissipative Systems
• Periodic Optimal Control, Dissipativity and MPC
• On Average Performance and Stability of Economic Model Predictive Control
• Probability theory. A comprehensive course