Reliable mixed passive and filtering for semi‐Markov jump systems with randomly occurring uncertainties and sensor failures

Abstract

Summary This paper investigates the reliable mixed passive and filtering problem for uncertain semi‐Markov jump delayed systems subject to sensor failures. The parameter uncertainties are randomly occurring with two stochastic variables, which are mutually independent and satisfy certain probabilistic distributions on the interval [0,1]. The objective is to focus on the design of a reliable filter ensuring the mixed passivity and performance level of the resulting filtering error system in the presence of sensor failures. By using an improved reciprocally convex approach combined with a novel integral inequality, sufficient conditions of mixed passivity and performance analysis for the considered systems are derived. Based on these, a desired reliable filter design method is developed, and the parameters of the filter are readily calculated by employing a simple expression of the desired filter. Three numerical examples are presented to demonstrate the effectiveness and the reduced conservatism of the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.