Output feedback repetitive control design based on two-dimensional hybrid model

This paper deals with the problem of designing an output feedback repetitive control system based on continuous-discrete two-dimensional (2D) hybrid model for a class of regular linear systems. First, by analyzing of the continuous control process and discrete learning process independently, a hybrid continuous-discrete 2D model for the output feedback repetitive control system is given and the repetitive controller design problem is transformed to the design problem of the continuous-discrete 2D systems with an output feedback. Next, by using the 2D systems theory, a sufficient condition for existence of output feedback repetitive controller is obtained. Furthermore, the parameters of the repetitive controller are obtained based on linear matrix inequalities. Finally, the validity of the proposed method is verified by a numerical example.