Chaos anti-control of chain system via backstepping

Author

Yunzhong, Song ; Ruiqin, Zhao

Author_Institution

Sch. of Electr. Eng. & Autom., Henan Polytech. Univ., Jiaozuo, China

fYear

2009

fDate

17-19 June 2009

Firstpage

1506

Lastpage

1510

Abstract

Chaos anti-control of the controlled chain system was realized by tracking reference chaos system. Origin stability of the error system between the controlled chain system and the reference chaos system was made possible through backstepping design of the controller. In case of completeness, the two well known chaos systems Duffing oscillator and Ameodo system were used as reference ones are to drive the second order chain system and the third order one into chaos respectively. The suggested chaos anti-control method is both free of computation complexity of Lyapunov exponent allocation, which is often difficult to get; and constraints of differential geometric control, which is too complicated to execute sometimes. Validity is verified by computer simulation.

Keywords

Lyapunov methods; control system synthesis; nonlinear control systems; stability; Ameodo system; Duffing oscillator; Lyapunov exponent allocation; chaos anticontrol; computation complexity; controlled chain system; controller backstepping design; differential geometric control; error system stability; reference chaos system tracking; second order chain system; Automatic control; Backstepping; Chaos; Chaotic communication; Control systems; Educational technology; Error correction; Nonlinear control systems; Oscillators; Stability; Backstepping; Chain system; Chaos anti-control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192188

Filename

5192188