Title :
Stabilization of unstable equilibrium points for piecewise-linear chaotic systems
Author_Institution :
Dept. of Electron. Eng., Nanjing Univ. of Posts & Telecommunications, China
Abstract :
A new, yet simple, control method is developed for stabilizing unstable equilibrium points of piecewise-linear chaotic systems. The criteria for the design of the control parameters are also investigated based on the Lyapunov stability theory. This method is illustrated to be highly robust for system parametric variations. To verify the effectiveness of the method, it is applied to the chaotic Chua´s circuit, where satisfactory control performance is observed in simulations.
Keywords :
Chua´s circuit; Lyapunov methods; chaos; control systems; piecewise linear techniques; stability; Lyapunov stability theory; chaos control; chaotic Chua circuit; control method; equilibrium point stabilization; piecewise-linear chaotic systems; Chaos; Circuits; Control systems; Digital-to-frequency converters; Lyapunov method; Nonlinear control systems; Piecewise linear techniques; Robustness; State feedback; Telecommunication control;
Conference_Titel :
Communications, Circuits and Systems, 2004. ICCCAS 2004. 2004 International Conference on
Print_ISBN :
0-7803-8647-7
DOI :
10.1109/ICCCAS.2004.1346433