Stability and performance guarantees for model predictive control algorithms without terminal constraints

DOI10.1002/zamm.201100133zbMath1285.93080arXiv1109.6153OpenAlexW2107272400WikidataQ123344905 ScholiaQ123344905MaRDI QIDQ5415434

Jürgen Pannek, Karl Worthmann

Publication date: 12 May 2014

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6153

zbMATH Keywords

performancefeedbackasymptotic stabilityreceding horizon controlmodel predictive control algorithm

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Asymptotic stability in control theory (93D20)

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Self-triggered MPC with performance guarantee using relaxed dynamic programming ⋮ Interaction of open and closed loop control in MPC

Cites Work

• Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations
• Feasibility and stability of constrained finite receding horizon control
• Stability of a truncated infinite constrained receding horizon scheme: The general discrete nonlinear case
• Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon
• Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems
• The watchdog technique for forcing convergence in algorithms for constrained optimization
• Linear nonquadratic optimal control
• Receding horizon optimal control for infinite dimensional systems
• Model predictive control: for want of a local control Lyapunov function, all is not lost
• On the stability of receding horizon control with a general terminal cost
• Relaxing Dynamic Programming

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