Chaos control of the modified Chua’s circuit system. (English) Zbl 1008.37017

Wu, Tzuyin; Chen, Min-Shin

Physica D 164, No. 1-2, 53-58 (2002).

Summary: A nonlinear controller called the backstepping controller is applied to suppress the chaotic motion of a modified Chua’s circuit system. The new controller can drive the system to the exact reference state at any prescribed speed. Most importantly, the controller achieves global exponential stability in the sense that the attraction basin for the reference state is the entire state space. Previous controllers for the Chua’s circuit can achieve only local stability in the sense that the attraction basin is a subset of the state space.

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37H99	Random dynamical systems
93C15	Control/observation systems governed by ordinary differential equations
94C05	Analytic circuit theory
34C28	Complex behavior and chaotic systems of ordinary differential equations

Keywords:

nonlinear controller; global exponential stability; reference state; attraction basin

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