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

Abstract

The problem of event-triggered $H_{\mathrm{\infty }}$ 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 $H_{\mathrm{\infty }}$ filter is considered. Firstly, $h_0$-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 $H_{\mathrm{\infty }}$ 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.

Keywords:

• Event-triggered mechanism
• singularly perturbed system
• $H_{\mathrm{\infty }}$ filter
• dwell time

Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions improved the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 61873272 and 61603392], the Open Project Foundation of State Key Laboratory of Synthetical Automation for Process Industries of Northeastern University, China (2019-KF-23-04) and the Jiangsu dual creative teams programme project awarded in 2017.