RELATION BETWEEN MODEL FEEDBACK CONTROL SYSTEMS AND PARAMETERIZATION OF ALL STABILIZING CONTROLLERS

In the present paper, we examine model feedback control systems. Because model feedback control is simple, the model feedback control system has been applied in many applications such as the trajectory control of robot manipulators, serially connected tanks, etc. The control structure of the model feedback control system is limited, and nothing has been reported about whether or not model feedback control can represent all of the stabilizing controllers of a plant. The purpose of the present paper is to give a solution to the question as to whether or not all stabilizing controllers for a plant are expressible in the model feedback control structure. For strictly proper systems, the relation between model feedback control and the parameterization of all stabilizing controllers for minimum phase systems is shown. A simple design method to specify control characteristics is also presented.