Computation of stabilizing PI and PID controllers by using Kronecker summation method

Author

Da, Zheng ; Zhengyun, Ren ; Jian´an, Fang ; Lei, Jiang

Author_Institution

Sch. of Inf. Sci. & Technol., Dong Hua Univ., Shanghai

fYear

2008

fDate

16-18 July 2008

Firstpage

72

Lastpage

75

Abstract

In this paper, a new method for computation of all stabilizing PI controllers is given. The method is based on the plant model in time domain and by using the extraordinary feature results from Kronecker sum operation, the proposed method is based on finding the explicit equation of control parameters defining the stability boundary in parametric space. Beyond stabilization, the method is used to shift all poles to a shifted half plane that guarantees a specified settling time of response. The stability region of PID controllers is given in (k_p,k_i), (k_p,k_d) and (k_i, k_d) plane respectively. Examples are given to show the benefits of the proposed method.

Keywords

PI control; poles and zeros; stability; three-term control; time-domain analysis; Kronecker summation method; PI controller stabilization; PID controller stabilization; parametric space; plant model; pole shifting; stability boundary; time domain method; Control systems; Eigenvalues and eigenfunctions; Equations; Matrices; PD control; Pi control; Process control; Proportional control; Stability; Three-term control; Kronecker summation; PI control; Relative stabilization; Stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605335

Filename

4605335