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A design method for a multi-rate control system in state-space approach

This paper discusses a design method for a sample-date system, in which a continuous-time plant is controlled using a discrete-time controller. It is assumed that the sampling interval of plant output is an integer multiple of the hold interval of control input, that is, the control system is a multirate system. Using the state-space representation, a multirate control law, which stabilizes a closed-loop system, is extended independently of the sample response. In the proposed method, a multirate control is redesigned such that the steady-state intersample response is improved. Hence, the intersample response can be improved independently of the sample response.