Gain-Scheduled H-infinity Filtering for LPV Discrete-Time Systems with Time-Varying Delay

This paper examines the problems of robust H_infin filtering design for linear parameter-varying discrete-time systems with a time-varying state delay. We present new delay-dependent H_infin performance criteria using parameter-dependent Lyapunov-Krasovskii functional. Then the design of H_infin. filter can be obtained from the solution of convex optimization problems in terms of parameterized linear matrix inequalities. And the admissible filter guarantees a prescribed H_infin noise attenuation level, relating exogenous signals to the estimation error for all possible parameters that vary in a compact set. The proposed methodology has been shown, via a numerical example, to be much less conservative than delay-independent approach.