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 aperiodicsampling-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.