Control of uncertain butterfly-shaped chaotic system: Sliding-mode approach

Author

Dadras, Sara ; Momeni, Hamid Reza ; Majd, Vahid Johari

Author_Institution

Dept. of Electr. Eng., Tarbiat Modares Univ., Tehran

fYear

2008

Firstpage

1606

Lastpage

1609

Abstract

A sliding mode control scheme for an uncertain butterfly-shaped chaotic dynamical system is proposes in this paper. A sliding surface is determined according to the sliding mode control technique and the control law is established. Stability of the sliding control law is determined using Lyapunov stability theory. The chattering phenomenon, which deteriorates the system performance and may cause unforeseen instabilities, is attenuated due to this control law. The effectiveness of the presented sliding mode control design is confirmed through numerical simulations.

Keywords

Lyapunov methods; chaos; control nonlinearities; control system synthesis; stability; uncertain systems; variable structure systems; Lyapunov stability theory; chaotic dynamical system; chattering phenomenon; sliding mode control design; uncertain butterfly-shaped chaotic system; Adaptive control; Automatic control; Chaos; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Sliding mode control; Systems engineering and theory; Uncertainty; Chaos system; Chattering phenomenon; Lyapunov stability; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems, 2008. ICCAS 2008. International Conference on

Conference_Location

Seoul

Print_ISBN

978-89-950038-9-3

Electronic_ISBN

978-89-93215-01-4

Type

conf

DOI

10.1109/ICCAS.2008.4694488

Filename

4694488