A simple universal adaptive feedback controller for chaos and hyperchaos control

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.