Notice of Retraction The research of the algorithm on three-dimensional stability region based on robust PID controller

Abstract

This paper designs a robust PID controller: And algorithm of H∞ is used in this paper, based on the sensitivity function, input sensitivity function and complementary sensitivity function constituting Mixed sensitivity function. By deriving plural coefficients equation of the controller parameters with stability of the Hurwitz, this paper gives the algorithm of determining stability region of Kp and stability region of Ki-Kd. Through process of gridding Kp, this paper gives the algorithm of determining three-dimensional robust stability region of Ki-Kd-Kp. And this paper gives stability region of a example through simulation with MATLAB. This paper provides a good solution on the design of robust PID controller.