Research on the Perturbation Stability Margin when the Controller is Fixed

Author

Fang, Hongwei ; Xia, Changliang ; Xiu, Jie

Author_Institution

Sch. of Electr. Eng. & Autom., Tianjin Univ.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

2131

Lastpage

2135

Abstract

The robustness and stability of the closed-loop system is analyzed with uncertainty in the form of the additive/multiplicative perturbation and the coprime factorization respectively. The difference between them is also investigated. A new method to solve the perturbation stability margin by the coprime factorization is proposed when the controller is fixed. And the perturbation stability margin is respectively researched when only the perturbation plant is coprime or when the perturbation plant and the fixed controller are coprime simultaneously. Also the equality of them is testified while the Bezout equation is satisfied. This method has solved the problem of perturbation stability margin when the controller is fixed and provided a quantitative index for the robust analysis of the perturbation plant. The simulation has proved its effectiveness

Keywords

closed loop systems; perturbation techniques; stability; Bezout equation; additive perturbation; closed-loop system; coprime factorization; multiplicative perturbation; nominal plant; perturbation stability margin; Automatic control; Automation; Control systems; Electrical equipment industry; Equations; Robust control; Robust stability; Stability analysis; Testing; Uncertainty; Additive/ Multiplicative Perturbation; Coprime Factorization; Nominal Plant; Perturbation Plant; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712735

Filename

1712735