Stability Analysis and Anti-windup Design of Switched Systems with Actuator Saturation

作     者：Xin-Quan Zhang Xiao-Yin Li Jun Zhao 

作者机构：School of Information and Control EngineeringLiaoning Shihua UniversityFushun 113001China School of Foreign LanguagesLiaoning Shihua UniversityFushun 113001China State Key Laboratory of Synthetical Automation for Process IndustriesNortheastern UniversityShenyang 110819China 

出 版 物：《International Journal of Automation and computing》 (国际自动化与计算杂志（英文版）)

年 卷 期：2017年第14卷第5期

页      面：615-625页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学] 0811[工学-控制科学与工程] 071101[理学-系统理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by Scientific Research Fund of Education Department of Liaoning Province(No.L2014159) 

主　　题：Anti-windup switched systems saturating actuators single Lyapunov function domain of attraction linear matrixinequality (LMI). 

摘      要：The stability analysis and anti-windup design problem is investigated for two linear switched systems with saturating actuators by using the single Lyapunov function approach. Our purpose is to design a switching law and the anti-windup compensation gains such that the maximizing estimation of the domain of attraction is obtained for the closed-loop system in the presence of saturation. Firstly, some sufficient conditions of asymptotic stability are obtained under given anti-windup compensation gains based on the single Lyapunov function method. Then, the anti-windup compensation gains as design variables are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. Two numerical examples are given to show the effectiveness of the proposed method.