Robust switching output feedback control of discrete-time linear polytopic uncertain systems

• Published in: 2015 34th Chinese Control Conference (CCC) pp. 2973 - 2978
• Main Authors: Chengzhi, Yuan, Fen, Wu, Chang, Duan
• Format: Conference Proceeding Journal Article
• Language: English
• Published: Technical Committee on Control Theory, Chinese Association of Automation 01.07.2015
• Subjects: Closed loop systems; Conferences; Control systems; Controllers; Dynamics; Linear systems; LMIs with linear search; Lyapunov functions; min-switching logic; Output feedback; polytopic time-varying uncertainties; Robust control; Robustness; Strategy; Switches; Switching; Time-varying systems
• ISSN: 1934-1768
• DOI: 10.1109/ChiCC.2015.7260096

This paper presents a new switching control approach for robust output feedback control of a class of discrete-time linear systems subject to polytopic time-varying uncertainties. The proposed robust switching controller, which stabilizes the closed-loop system with a pre-specified H ∞ performance level, consists of a family of dynamic output feedback controllers (of an arbitrary state order) and a switching law (the relaxed min-switching strategy). Both stability analysis and control synthesis conditions are derived using a piecewise quadratic Lyapunov function. The switching law combined with the controller gain matrices are jointly synthesized by solving a convex linear matrix inequality (LMI) based optimization problem. An academic example has been used to demonstrate the effectiveness and advantages of the proposed approach.