Anti-windup strategies for discrete-time switched systems subject to input saturation

• Published in: International journal of control Vol. 89; no. 5; pp. 919 - 937
• Main Authors: Jungers, Marc, Tarbouriech, Sophie
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.05.2016; Taylor & Francis Ltd
• Subjects: Anti-windup; Automatic; Compensators; Controllers; deadzone; Design engineering; Dynamical systems; Dynamics; Engineering Sciences; Estimates; Lyapunov functions; Lyapunov-(Metzler) inequalities; Saturation; Switched systems; Switched systems; saturation; Lyapunov functions; deadzone; Lyapunov–(Metzler) inequalities; anti-windup
• ISSN: 0020-7179; 1366-5820; 1366-5820
• DOI: 10.1080/00207179.2015.1105384

This paper deals with the design of anti-windup compensator for discrete-time switched systems subject to input saturation. The cases of static and dynamic anti-windup controllers are addressed aiming at maximising the estimate of the basin of attraction of the origin for the closed-loop system. Two aspects of the switching law are taken into account during the design: either it is arbitrary or it is a part of the complete control law. Theoretical conditions allowing to synthesise the anti-windup compensator are mainly described through linear matrix inequalities. Computational oriented conditions are then provided to solve convex optimisation problems that are able to give a constructive solution.