Event-triggered H_∞ robust filtering for nonlinear semi-Markov switching systems

Abstract

This paper studies the $H_{\mathrm{\infty }}$ filtering problem for a class of discrete-time semi-Markov switching repeated scalar nonlinear systems with an event-triggered scheme. Considering the limitation of bandwidth, the mode-dependent event-triggered mechanism is introduced to determine whether the currently sampled sensor data is transmitted to the filter, in which the parameters of the event generator depend on the system mode. By means of a constructed time-varying Lyapunov function, the two stages of the systems jump instant and mode residence are analysed, and a linear matrix inequality technique is used to ensure the mean-square stability and $H_{\mathrm{\infty }}$ performance of the filter error system. Accordingly, the co-design method of the mode-dependent time-varying filter and the event-triggered mechanism is derived for semi-Markov switching systems. Finally, a numerical simulation is given to illustrate the effectiveness and feasibility of the method proposed in this paper.

Keywords:

• Semi-Markov switching systems
• repeated scalar nonlinear
• event-triggered mechanism
• mode-dependent time-varying filter

Disclosure statement

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

Additional information

Funding

This work was supported by the National Key R&D Program of China [grant number 2018YFD0400902], the National Natural Science Foundation of China [grant numbers 61873112,61802107] and the Postgraduate Research & Practice Innovation Program of Jiangsu Province [grant number KYCX22_2311].