Anti-windup strategies for discrete-time switched systems subject to input saturation. Issue 5 (3rd May 2016)

• Record Type: Journal Article
• Authors: Jungers, Marc; Tarbouriech, Sophie
• Is Part Of: International journal of control. Volume 89:Issue 5(2016)
• Page Start: 919
• Page End: 937
• Publication Date: 2016-05-03
• Subjects: Switched systems -- anti-windup -- Lyapunov functions -- saturation -- deadzone -- Lyapunov–(Metzler) inequalities; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2015.1105384
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract: 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.