PID Tuning for Unstable Systems Using Closed-Loop Transient Response Data

Abstract

In this paper, a method to tune PID controller for unstable plants is proposed. Since the tuning is done in frequency domain, the stability and the bandwidth of the closed-loop system with the tuned controller can be estimated. In order to tune PID controller, the method requires only one-shot transient response data of the closed-loop system stabilized by an arbitrary PID controller and the data is used in frequency domain for classical loop-shaping. The effectiveness and the simplicity of the proposed method are shown through a numerical example study and an experiment.