Full- and Reduced-Order Filter Design for Discrete-Time T-S Fuzzy Systems with Time-Varying Delay

This paper is focused on the problem of H-infinity filtering for a class of discrete-time T-S fuzzy time-varying delay systems. Our interest is how to design full-and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed H-infinity performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms.