Robust H∞ filtering for LPV discrete-time state-delayed systems

This paper examines the problems of robust H∞ filtering design for linear parameter-varying discrete-time systems with time-varying state delay. We present new H∞ performance criteria that depend on the parameters and the delay-varying magnitude using appropriately selected Lyapunov-Krasovskii functional. Then the corresponding filter can be obtained from the solution of convex optimization problems in terms of parameterized linear matrix inequalities, which can be solved via efficient interior-point algorithms. And the admissible filter guarantees a prescribed H∞ noise attenuation level, relating exogenous signals to the estimation error for all possible parameters that vary in a compact set. A numerical example illustrates the feasibility of the proposed methodologies.