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A simple universal adaptive feedback controller for chaos and hyperchaos control. (English) Zbl 1219.93111
Summary: A simple universal adaptive feedback controller is proposed for chaos control. In comparison with previous methods, the proposed scheme, which uses a single feedback gain and converges very fast, is suitable for application to a larger class of chaotic, hyperchaotic and nonhyperbolic chaotic systems. A sufficient condition for selecting the least feedback terms is given, and a numerical example using the Lorenz system verifies the correctness and effectiveness of the proposed approach.

93D21Adaptive or robust stabilization
93D15Stabilization of systems by feedback
34H10Chaos control (ODE)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
Full Text: DOI
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