PID and PID-like controller design by pole assignment within D-stable regions

Abstract

This paper presents a new PID and PTD-like controller design method that permits the designer to control the desired dynamic performance of a closed-loop system by first specifying a sot of desired D-stable regions in the complex plane and then running a numerical optimisation algorithm to find the controller parameters such that all the roots of the closed-loop system are within the specified regions. This method can be used for stable and unstable plants with high order degree, for plants with time delay, for controller with more than three design parameters, and for various controller configurations. It also allows a unified treatment of the controller design for both continuous and discrete systems. Examples and comparative simulation results are provided to illustrate its merit.