Dynamic event-triggered \(H_\infty\) control on nonlinear asynchronous switched system with mixed time-varying delays. (English) Zbl 1480.93276
Summary: This paper is concerned with the \(H_\infty\) control problem of the nonlinear asynchronous switched system in the presence of mixed time-varying delays and exogenous disturbance by employing the controller mode-dependent dynamic event-triggered strategy, merging switching signal approach and average dwell time scheme. Firstly, instead of using the static event-triggered scheme, a novel Zeno-free controller mode-dependent dynamic event-triggered strategy is designed to reduce the unnecessary costs of the system operation. Then, the dynamic event-triggered asynchronous control behaviours between the subsystems and the corresponding controllers are studied. Some suitable sufficient conditions are derived by applying the merging switching signal approach and multiple Lyapunov functional method to guarantee the \(H_\infty\) performance of the nonlinear asynchronous delayed switched system. Finally, the feasibility and the application of the obtained results are illustrated by a numerical example and a practical example.
MSC:
| 93C65 | Discrete event control/observation systems |
| 93B36 | \(H^\infty\)-control |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C10 | Nonlinear systems in control theory |
| 93C43 | Delay control/observation systems |
Keywords:
\(H_\infty\) control; nonlinear asynchronous switched system; time-varying delays; mode-dependent dynamic event-triggered strategyReferences:
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