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

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

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 K_p and stability region of K_i-K_d. Through process of gridding K_p, this paper gives the algorithm of determining three-dimensional robust stability region of K_i-K_d-K_p. 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.