参数不确定的超混沌系统自适应的投影同步

Adaptive Control Projective Synchronization for a Hyper-Chaotic Systems with Unknown Parameters

对于一个新混沌系统,在参数不匹配的情况下,设计出简单易行的非线性反馈控制器以及参数自适应律,实现了主从系统的广义投影同步。借助Lyapunov稳定性定理与Barbalat引理,证明了该定理的正确性;从完全同步推广到投影同步,此方法是对前人工作的拓展。数值仿真进一步证实了定理的正确性与有效性,而且可以辨识未知参数。

The problem of generalized unkown parameters,based on a single the nonlinear control and the genearlized projective synchroni adapti zation projective synchronization of a hyperchaotic system with adaptive control, is investigated. For the new chaotic system, ve principle of parameters make the master-slave system under the condition of uncertain parameters. Based on the Lyapunov stability theory,the theory of the chaotic system proves to be correct. Varying from complete synchronization to projective synchronization ,it can be viewed as an improvement to the existing results. The numerical simulation illustrates the feasibility of the technique, and moreover,the visibility of uncertain parameters is clear.