Title :
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
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;
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
DOI :
10.1109/ICCAS.2008.4694488
