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

This paper investigates the reliable mixed passive and H 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 H 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 H 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 (c) 2014 John Wiley & Sons, Ltd.