Input-Output Finite-Time Guaranteed Cost Control for Time-Varying Systems Based on an Aperiodic Adaptive Event-Triggered Mechanism  

作　　者：CHEN Menghua WANG Yunming WANG Xinping 

机构地区：[1]School of Automation and Electrical Engineering,Dalian Jiaotong University,Dalian 116028,China

出　　处：《Journal of Systems Science & Complexity》2023年第3期1070-1088,共19页系统科学与复杂性学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China under Grant No.62103074;the Natural Science Research Project of Liaoning Education Department of China under Grant Nos.JDL2019019 and JDL2020002.

摘　　要：This paper is concerned with the problem of input-output finite-time guaranteed cost control for a kind of time-varying systems(TVSs).To reduce the transmission burden,an aperiodic-sampling-based event-triggered mechanism is proposed with an adaptive law.And a time-varying Lyapunov functional involving some time-dependent piecewise matrices is designed.Input-output finite-time stability(IO-FTS)conditions are presented for the closed-loop system.By resorting to properties of the matrix polynomial,input-output finite-time stabilization criterions are further derived by recursive linear matrix inequalities.And the sampled-data static output feedback controller can be obtained.In addition,the corresponding optimization problem about minimum values of both the guaranteed cost bound and system output norm are established.Finally,a spring-mass-damper system illustrates the effectiveness and superiority.

关 键 词：Aperiodic-sampling-based adaptive event-triggered mechanism guaranteed cost control input-output finite-time stability time-varying system 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]