Observer-based Robust H∞ Control for Uncertain Discrete-time Systems with Both State and Input Delays

This paper is concerned with the robustness and H_∞ control problem of observer-based control for a class of uncertain linear discrete-time systems with both state and input delays. Under no disturbance input, the asymptotic stabilization for uncertain time-delay systems will be guaranteed. Linear Matrix Inequality(LMI) optimization approach is used to design the observer-based H_∞ control. An example illustrates the application of the proposed technique.