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

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.


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
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