State-space design method for both intersample and sampled responses in a multirate control system

This study discusses a design method for a multirate control system, where the sampling interval of the plant output is an integer multiple of the hold interval of the control input. A closed-loop system is assumed to be stabilized by a state feedback control law with an observer, and the feedback control law is extended to improve the intersample response. One of the advantages of the proposed method is that the control law is redesigned independently of the closed-loop system. Hence, the intersample response can be improved independently of the sampled response. Numerical simulations are presented to demonstrate the effectiveness of the proposed method.