Observer-based gain-scheduled H∞ control for LPV discrete-time systems with a time-varying delay

This paper addresses the problem of observer-based gain-scheduled H_infin control for a class of linear parameter-varying systems with time-varying delay in the state. A new delay-dependent and parameter-dependent H_infin performance criterion is developed with a parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controllers and state observers to guarantee that the resulting closed-loop system is asymptotically stable with a prescribed H_infin performance level in terms of parameterized linear matrix inequalities. A numerical example is given to show the effectiveness of the proposed techniques.