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Disturbance rejection for discrete-time systems with time-delays

Shao-Ting Ge, Zhimin Liu, Lijuan Kang, Yuqing Feng, Heng Wen

The disturbance rejection problem for discrete-time linear systems with both state delay and control delay is considered. Using a model transformation, the time-delay system is transformed into a nondelayed system. The disturbance rejection control law is obtained by solving its optimal regulation problem. A dynamic compensator is designed, which is combined by an internal model principle corresponding to the disturbances and an optimal control law which consists of state and control memory terms and a disturbance compensator. Numerical simulations are used to illustrate the effectiveness of the optimal regulator