Input-output finite-time guaranteed cost control for time-varying systems based on an aperiodic adaptive event-triggered mechanism. (English) Zbl 1533.93644
Summary: 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.
MSC:
| 93D25 | Input-output approaches in control theory |
| 93D40 | Finite-time stability |
| 93C40 | Adaptive control/observation systems |
| 93C65 | Discrete event control/observation systems |
| 93C57 | Sampled-data control/observation systems |
| 93B52 | Feedback control |
Keywords:
aperiodic-sampling-based adaptive event-triggered mechanism; guaranteed cost control; input-output finite-time stability; time-varying systemReferences:
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