Non-fragile stabilisation of nonlinear switched systems with actuator saturation  

作　　者：Jianlin Wang Xinquan Zhang 

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260-269,共10页控制与决策学报（英文）

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

摘　　要：For nonlinear continuous-time switched systems,the problem ofhowto overcome the controller vulnerability is studied when the saturating actuator is considered.The sufficient condition of non-fragile stabilisation of the system is derived by using the method of multiple Lyapunov functions.Then,a switching law and the non-fragile state feedback controllers are designed such that the closed-loop system can be asymptotically stabilised at the origin.Finally,when some scalar parameters of the closed-loop system are given,the design issue of the non-fragile state feedback controllers and the switching law,which aim at enlarging the estimation of domain of attraction for closed-loop system,is transformed into a convex optimisation issue with linear matrix inequalities(LMI)constraints,and a numerical example is given to verify the effectiveness of the proposed method.

关 键 词：Actuator saturation nonlinear switched systems NON-FRAGILE multiple Lyapunov functions LMI 

分 类 号：O17[理学—数学]