Non-fragile l2 - l∞ filtering for nonhomogeneous Markov jump systems with randomly occurring uncertainties and gain variations

The problem of non-fragile l(2) - l(infinity) filtering for nonhomogeneous Markov jump systems with ran-domly occurring uncertainties is considered in this paper. The time-varying transition probabilities are assumed to be in a polytopic sense. Both the uncertainties of system and the gain variations of designed filter are supposed to be random and satisfy the Bernoulli distribution. By constructing a mode-dependent Lyapunov function and combining free weighting matrices method, less conservative results on the non-fragile l(2) - l(infinity) filtering are obtained which guarantee the resulting error dynamic systems are robust stochastically stable and satisfy a prescribed l(2) - l(infinity) performance index. By utilizing the LMI toolbox of Matlab for numerical simulation, the state response curves and the output response curve are given. One numerical example and a practical model of PWM (pulsewidth-modulation)-driven boost converter are given to verify the effectiveness and superiority of the proposed designed method. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.