L_2-gain Analysis and Anti-windup Design of Discretetime Switched Systems with Actuator Saturation

作     者：Zhang, Xin-Quan Zhao, Jun 

作者机构：School of Information and Control Engineering Liaoning Shihua University Fushun 113001 China State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang 110819 China 

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：2012年第9卷第4期

页      面：369-377页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

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

主　　题：L2-gain anti-windup switched systems saturating actuators switched Lyapunov function tolerable disturbances. 

摘      要：This paper investigates L2-gain analysis and anti-windup compensation gains design for a class of discrete-time switched systems with saturating actuators and L2 bounded disturbances by using the switched Lyapunov function *** a given set of anti-windup compensation gains,we firstly give a sufficient condition on tolerable disturbances under which the state trajectory starting from the origin will remain inside a bounded set for the corresponding closed-loop switched system subject to L2 bounded ***,the upper bound on the restricted L2-gain is obtained over the set of tolerable ***,the antiwindup compensation gains aiming to determine the largest disturbance tolerance level and the smallest upper bound of the restricted L2-gain are presented by solving a convex optimization problem with linear matrix inequality(LMI) constraints.A numerical example is given to illustrate the effectiveness of the proposed design method.