Computation of Stabilizing PI and PID Controllers using the Stability Boundary Locus

Tan, Nusret, Kaya, Ibrahim, Yeroglu, Celaddin and Atherton, Derek P (2006) Computation of Stabilizing PI and PID Controllers using the Stability Boundary Locus. Energy Conservation and Management, 47 (18-19). pp. 3045-3058. ISSN 0196-8904

Full text not available from this repository.


In this paper, a new method for the calculation of all stabilizing PI controllers is given. The proposed method is based on plotting the stability boundary locus in the (kp, ki)-plane and then computing the stabilizing values of the parameters of a PI controller. The technique presented does not require sweeping over the parameters and also does not need linear programming to solve a set of inequalities. Thus it offers several important advantages over existing results obtained in this direction. Beyond stabilization, the method is used to shift all poles to a shifted half plane that guarantees a specified settling time of response. Computation of stabilizing PI controllers which achieve user specified gain and phase margins is studied. It is shown via an example that the stabilizing region in the (kp, ki)-plane is not always a convex set. The proposed method is also used to design PID controllers. The limiting values of a PID controller which stabilize a given system are obtained in the (kp, ki)-plane, (kp, kd)-plane and (ki, kd)-plane. Furthermore, the proposed method is used to compute all the parameters of a PI controller which stabilize a control system with an interval plant family. Examples are given to show the benefits of the method presented.

Item Type: Article
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Depositing User: Derek Atherton
Date Deposited: 06 Feb 2012 20:11
Last Modified: 30 Mar 2012 14:57
📧 Request an update