Dissipativity-based Reduced-order Filtering for Uncertain Semi-Markovian Jump Systems: Continuous-Time Case

Abstract

This paper investigates the problem of dissipativity-based reduced-order filtering for continuous-time phase-type semi-Markovian jump systems (PH-SMJSs) with event-triggered scheme. By utilizing the dissipativity-based technique, sufficient conditions for the existence of the fixed-order filter are obtained to ensure the asymptotical stability with a strict dissipative performance of the resulted filtering error system. Next, the corresponding filter parameters are obtained by introducing slack variables. Furthermore, the proposed performance criterion condition is more general by covering $\mathcal{H}_{\infty}$, passivity, or mixed performance. Simulation results are provided to illustrate the effectiveness of the proposed reduced-order filter design approach.