Stabilizing unstable equilibrium points of chaotic systems using PI regulator

Author

Jiang, Guo-Ping ; Wang, Suo-Ping

Author_Institution

Electron. Eng. Dept., Nanjing Univ. of Posts & Telecommun., China

Volume

3

fYear

2003

fDate

25-28 May 2003

Abstract

In this paper, by using the PI regulator and variable structure technique, a new method is presented for stabilizing unstable equilibrium points of chaotic systems. Based on the theory of nonlinear ordinary differential equations, a simple criterion is derived for designing the controller gains for stabilization and tracking, in which control parameters can be selected via the pole placement technique of linear control theory. More importantly, this control method has a simple controller structure, high robustness against system parametric variations, and strong rejection of external constant disturbances.

Keywords

chaos; controllers; nonlinear differential equations; pole assignment; stability; tracking; two-term control; variable structure systems; PI regulator; chaotic system; controller gain; linear control theory; nonlinear ordinary differential equation; pole placement technique; stabilization; tracking; unstable equilibrium point; variable structure technique; Chaos; Control systems; Control theory; Differential equations; Feedback control; Integral equations; Nonlinear control systems; Output feedback; Regulators; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1204956

Filename

1204956