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 mecha...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.展开更多
基金supported in part by the National Natural Science Foundation of China under Grant No.62103074the Natural Science Research Project of Liaoning Education Department of China under Grant Nos.JDL2019019 and JDL2020002.
文摘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.
