Input constrained discrete time-delay system robust H∞ control with invariant set

Based on the robust invariant set, H_infin controller designing problem for uncertain discrete time-delay system with disturbance and input constraint is considered in this paper. At first, a state feedback controller was designed, when the disturbance belongs to a convex polytope, a control invariant set was derived based on the revised Lyapunov Krasovskii function, and inside this control invariant set, the state feedback controller ensure that the input constraint will not be violated and at the same time, systempsilas disturbance rejection performance will be bounded by minimization of the H_infin norm bound. The LMI optimization approach is applied to solve the controller designing requirements. Numerical simulations results show that our proposed methods have desired control and performance requirements.