Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation  

作　　者：Xinquan ZHANG Mingshun WANG Jun ZHAO 

机构地区：[1]State Key Laboratory of Synthetical Automation for Process Industries,Northeastern University,Shenyang Liaoning 110819,China

出　　处：《控制理论与应用（英文版）》2012年第3期325-331,共7页

基　　金：supported by the National Natural Science Foundation of China(Nos.61174073,90816028)

摘　　要：This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.

关 键 词：ANTIWINDUP Switched systems Saturating actuators Switched Lyapunov function Attraction domain LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]