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

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

Automated summary

This paper addresses the problem of input-output finite-time guaranteed cost control for a type of time-varying systems. An aperiodic-sampling-based event-triggered mechanism with an adaptive law is proposed to reduce the transmission burden. A time-varying Lyapunov functional involving time-dependent piecewise matrices is designed, and input-output finite-time stability conditions are presented. Recursive linear matrix inequalities are used to derive input-output finite-time stabilization criterions, and the sampled-data static output feedback controller is obtained. Additionally, an optimization problem is formulated for minimum values of the guaranteed cost bound and system output norm. A spring-mass-damper system is used to illustrate the effectiveness and superiority of the proposed approach.