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Qi, Yiwen; Liu, Yanhui; Bao, Wen; Li, Xianling; Cui, Jianguo; Zhu, Linlin

Event-triggered and guaranteed cost finite-time \(H_{\infty}\) control for uncertain switched linear systems. (English) Zbl 1398.93220

Optim. Control Appl. Methods 39, No. 4, 1337-1353 (2018).
Summary: This paper is concerned with the event-triggered and guaranteed cost finite-time \(H_{\infty}\) control problem for uncertain switched linear systems with exogenous disturbance. Instead of one common strategy, multiple event-triggering strategies are first proposed, ie, each subsystem possesses its own corresponding event-triggering substrategy. Then, by utilizing the multiple Lyapunov functions and average dwell-time method, sufficient conditions for the finite-time boundedness with an \(H_{\infty}\) performance level of the resulting event-triggered switched closed-loop system are derived. Meanwhile, a certain upper bound of the guaranteed cost function with respect to the system uncertainties is obtained. Subsequently, a set of sufficient conditions in terms of linear matrix inequalities is given for solving the event-triggered and guaranteed cost finite-time \(H_{\infty}\) state feedback controllers. Furthermore, the Zeno sampling behavior is excluded by presenting a positive lower bound estimation on the interexecution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.

Cited in 8 Documents

MSC:

93C65 Discrete event control/observation systems
93B36 \(H^\infty\)-control
93C55 Discrete-time control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C05 Linear systems in control theory
93C41 Control/observation systems with incomplete information
93D30 Lyapunov and storage functions

Keywords:

event-triggered control; finite-time boundedness; guaranteed cost; \(H_\infty\); performance; uncertain switched linear systems
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References:

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