The parameterization of all plants stabilized by a proportional-derivative controller

In this paper, we examine the parameterization of all plants stabilized by a proportional-derivative (PD) controller. A PD controller is a kind of Proportional-Integral-Derivative (PID) controllers. The PID controller structure is the most widely used one in industrial applications. Recently, if stabilizing PID controllers for the plant exist, the parameterization of all stabilizing PID controllers has been considered. However, no paper examines the parameterization of all plants stabilized by a PID controller. In this paper, we clarify the parameterization of all plants stabilized by a PD controller. In addition, we present the parameterization of all stabilizing PD controllers for the plant stabilized by a PD controller.