Guaranteed cost control and anti-windup design of saturated switched systems  

作　　者：Xinquan Zhang Jianlin Wang 

机构地区：[1]School of Information and Control Engineering,Liaoning Petrochemical University,Fushun,People’s Republic of China

出　　处：《Journal of Control and Decision》2023年第2期293-299,共7页控制与决策学报（英文）

基　　金：the Natural Science Foundation of Liaoning Province of China[grant numbers 2020-MS-283 and 20180551014];the Scientific Research Fund of Education Department of Liaoning Province of China[grant number L2019016].

摘　　要：In this paper,the problem of guaranteed cost control and anti-windup design is studied for a class of switched systems with actuator saturation.The switching strategy and anti-windup compensator are designed to ensure the asymptotic stability of the closed-loop system and to obtain the minimum upper bound of the cost function.Some sufficient conditions for the existence of an anti-windup compensator of guaranteed cost are given by using the multiple Lyapunov functions method.On this basis,the minimum upper bound of the cost function is determined by solving the optimisation problem under the constraint of linear matrix inequality(LMI).Finally,a numerical example is given to verify the effectiveness of the proposed method.

关 键 词：Guaranteed cost control switched systems with actuator saturation ANTI-WINDUP multiple Lyapunov functions LMI 

分 类 号：O17[理学—数学]