Design of a Multiple-input Multiple-output Dualrate System in State-space Representation

Abstract

This paper deals with a multiple-input multiple-output dualrate system, where the sampling intervals of the plant outputs are an integer multiple of the hold intervals of the control inputs. In such a multirate system, ripples may occur in intresample behavior even if sampled outputs converge to reference inputs. In order to resolve this problem, a control law is enhanced using free parameters. As a result, ripples are eliminated in the steady state without changing the sampled outputs using an existing designed control law. Furthermore, a design method in state-space representation is proposed. In this paper, an observer is used because all state variables cannot be observed. Finally, numerical examples demonstrate the effectiveness of the proposed method.