A kind of variable gain nonlinear sliding mode adaptive method is proposed to solve the synchronization problem of chaotic systems with unknown parameters and uncertain functions. The design of nonlinear sliding mode is very skillful. It is not only make sliding surface stable but not make the control easy to be solved. Since with a constant gain, the control system will be not sensitive enough to small signals or it will be unstable to big signals. So the variable gain method is adopted to improve the control accuracy. At last, detailed numerical simulation is done to testify the rightness and effectiveness of the proposed method.
Nonlinearity Sliding mode Chaos Synchronization Variable gain Uncertainty
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