Time optimal model predictive control for linear systems based on ellipsoidal and polytopic sets

DOI10.1080/00207179.2019.1696986zbMath1480.93118OpenAlexW2989718698MaRDI QIDQ5018831

Qifeng Cheng, Kun Liu, Aoyun Ma, Yuanqing Xia

Publication date: 22 December 2021

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

Full work available at URL: https://doi.org/10.1080/00207179.2019.1696986

zbMATH Keywords

linear time-varying systemslinear time-invariant systemsellipsoidal controllable setspolytopic controllable setstime optimal MPC

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Model predictive control (93B45)

Cites Work

• Robust constrained model predictive control using linear matrix inequalities
• Robust time-optimal control of constrained linear systems
• Ellipsoidal techniques for reachability analysis: Internal approximation
• Who needs QP for linear MPC anyway?
• Scalable distributed model predictive control for constrained systems
• A method for calculating the invariant sets of high-dimensional linear systems under uncertainty
• Efficient robust predictive control
• Adaptive model predictive control of nonlinear systems with state‐dependent uncertainties
• On Ellipsoidal Techniques for Reachability Analysis. Part II: Internal Approximations Box-valued Constraints
• Network Scheduling and Control Co-Design for Multi-Loop MPC
• Optimizing prediction dynamics for robust MPC
• Cooperative control of dynamically decoupled systems via distributed model predictive control

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