Stabilizing unstable equilibrium point of hyperchaotic Lorenz system

Author

Li, Yuxia ; Xuezhen Liu ; Cao, Yongchao ; Xuezhen Liu

Author_Institution

Coll. of Inf.&Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao

fYear

2008

fDate

25-27 June 2008

Firstpage

2900

Lastpage

2905

Abstract

Some basic properties of the hyperchaotic Lorenz system were analyzed, and the state feedback control methods introduced for stabilizing unstable equilibrium point of the hyperchaotic system. The feedback controllers utilized the speed and hyperbolic function, respectively. Based on Routh-Hurwitz theorem, the span of the feedback coefficients was derived. Numerical simulations are given for illustration and verification. methods are robust against system parametric variations, and can strongly reject external constant disturbances.

Keywords

chaos; nonlinear control systems; stability; state feedback; Routh-Hurwitz theorem; hyperchaotic Lorenz system; numerical simulations; stabilizing unstable equilibrium point; state feedback control methods; Adaptive control; Automation; Chaos; Control systems; Educational institutions; Feedback control; Information analysis; Intelligent control; Numerical simulation; State feedback; feedback control; hyperchaotic Lorenz system; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4593386

Filename

4593386