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The ¥ H controller via state feedback is studied for the delayed discrete-time LPV sigular system with polytope model. Based on ¥ H control theory, the sufficiency condition of the state feedback controller for the delayed discrete-time sigular systems is adressed; Using Linear Matrix Inequality (LMI) convex optimal technique, the feasible solution of the state feedback controller is obtained.The simulation shows that the presented method is feasible and effective.

H¥ Control for A Class of LPV Discrete-time Singular System with Delay