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

The problem of non-fragile l2−l∞ filtering for nonhomogeneous Markov jump systems with randomly 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 l2−l∞ filtering are obtained which guarantee the resulting error dynamic systems are robust stochastically stable and satisfy a prescribed l2−l∞ 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.