Robust H∞ state feedback control for generalized parameter uncertain system with time delays in discrete time case

We consider the problem of designing H^∞ state feedback controller for the generalized time delay systems in the discrete time case. The generalized time delay system problems are solved on the basis of LMI technique. Using some changes of variables and Schur complement, the obtained sufficient condition can be rewritten as a LMI form in terms of transformed variables. The proposed method can be extended into the problem of robust H^∞ state feedback controller design method easily