关键词: 离散系统, 预见控制, 重复控制, 线性矩阵不等式, 保性能

Abstract: For a class of uncertain linear discrete systems with external disturbances, a design method of guaranteed cost repetitive controller with preview compensation is proposed. In order to improve the tracking precision, the repetitive controller is introduced in the forward channel, and the augmented error system that includes the preview information of the target signal and the disturbance signal is obtained by using the difference operator. On the basis of this, the guaranteed cost preview repetitive control problem is transformed into a guaranteed cost control problem for a class of linear discrete systems. Furthermore, the design method of the guaranteed cost controller is obtained by using the Lyapunov method and the linear matrix inequality techniques. Finally, the effectiveness of the proposed method is verified by a numerical example.

Key words: discrete system, preview control, repetitive control; linear matrix inequality, guaranteed performance