Event-triggered H∞ filtering for singularly perturbed systems with external disturbance

Yifang Yan, Chunyu Yang, Xiaoping Ma and Linna Zhou

International Journal of Systems Science, 2021, vol. 52, issue 2, 407-421

Abstract: The problem of event-triggered $H_{\infty } $H∞ filter design for singularly perturbed systems (SPSs) with external disturbance is investigated in this paper. A scheme consisting of an event-triggered mechanism (ETM) and an $H_{\infty } $H∞ filter is considered. Firstly, $h_{0} $h0-dependent sufficient conditions are derived via constructing an ϵ-dependent Lyapunov–Krasovskii functional, where the conditions ensure that the SPSs are asymptotically stable avoiding Zeno phenomenon. Then, the ETM and the $H_{\infty } $H∞ filter are designed simultaneously on the basis of the aforementioned criteria. Finally, an RC circuit system is presented to demonstrate the effectiveness and superiority of the obtained method.

Date: 2021
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DOI: 10.1080/00207721.2020.1829166

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