New Results on PID Controller Design of Discrete-time Systems via Pole Placement

Abstract

This paper considers the problem of proportional-integral-derivative (PID) controller design for a discrete-time system via pole placement. We first provide a method on the determination of the discrete-time PID gains which can assign a pair of dominant poles of a closed-loop system to the desired positions and locate the other poles inside a given smaller circle centered at the origin to guarantee the dominance of the assigned poles. The procedure for ascertaining the gains of PID controllers can be achieved in a straightforwardly computational way. Further, besides dominant pole placement, we propose a novel result on PID controller design according to some requirements of non-dominant pole distribution, which is a more interesting topic in the present paper.