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

被引:21
作者
Jungers, Marc [1 ,2 ]
Tarbouriech, Sophie [3 ,4 ]
机构
[1] Univ Lorraine, CRAN, UMR 7039, 2 Ave Foret Haye, F-54516 Vandoeuvre Les Nancy, France
[2] CNRS, CRAN, UMR 7039, F-75700 Paris, France
[3] CNRS, LAAS, 7 Ave Colonel Roche, F-31400 Toulouse, France
[4] Univ Toulouse, LAAS, F-31400 Toulouse, France
关键词
anti-windup; deadzone; Lyapunov-(Metzler) inequalities; saturation; Switched systems; Lyapunov functions; OUTPUT-FEEDBACK CONTROL; STABILITY ANALYSIS; LINEAR-SYSTEMS; L-2-GAIN ANALYSIS; STABILIZATION; CRITERIA; DESIGN; DIFFERENCE;
D O I
10.1080/00207179.2015.1105384
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:919 / 937
页数:19
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