Fuzzy model-based asynchronous H∞ filter design of discrete-time Markov jump systems

This paper investigates the issue of asynchronous H∞ filter design for a class of discrete-time Markov jump fuzzy systems with uncertainties. Two totally different but equivalent methods are adopted to derive sufficient conditions that ensure stochastic stability as well as a prescribed H∞ performance of the filtering error system. To reduce conservatism of the filter design methods, the fuzzy-basis-dependent Lyapunov function is chosen to depend both on mode information of the plant and the filter, which guarantees all available information is fully utilized. Then the existence criterion for the asynchronous H∞ filter to be designed is presented in the form of linear matrix inequalities. Finally, a simulation example is provided to demonstrate the potential and effectiveness of the proposed methods.