Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays

Abstract EN

This paper deals with the event-triggered dissipative filtering problem for semi-Markovian jump systems with time-varying delays.

The purpose is to design a filter which guarantees that the filtering error system is not only stochastically stable but also satisfies dissipativity.

First, based on Lyapunov–Krasovskii theory and matrix integral inequality, a sufficient condition is established for the existence of such a filter.

Then, the codesign method of event-triggered matrices and the desired filter parameters is proposed.

Finally, two numerical examples are given to illustrate the advantages and validity of the scheme developed in this paper.