A design method of on-demand type feedback controller using coprime factorization

Abstract

This paper proposes a design method of on-demand type feedback controller using coprime factorization. A controller, such as generalized minimum variance control (GMVC), generalized predictive control (GPC) and so on, can be extended by using coprime factorization. Then the extended controller has a new design parameter, and the parameter can select the characteristic of the extended controller without changing the closed-loop characteristic. Considering to design safe systems, strong stability systems can be obtained by the extended controller. Moreover, focusing on feedback signal, the extended controller can adjust the magnitude of the feedback signal. That is, the proposed controller can drive the magnitude of the feedback signal to zero if the control object was achieved. In other words the feedback signal by the proposed method can appear on demand of achieving the control object. At first step, this paper proposes on-demand type feedback controller using GMVC and coprime factorization. A numerical example is given in order to check the characteristic of the proposed method.