超混沌复系统的自适应广义组合复同步及参数辨识

摘要

Based on adaptive control and Lyapunov stability theory, a novel adaptive Generalized Combination Complex Synchronization (GCCS) scheme is proposed for nonidentical hyperchaotic complex systems with unknown parameters. Firstly, the definition of GCCS is presented, and synchronization of drive-response systems is transformed to the zero solution analysis of the error dynamical system. Secondly, a nonlinear feedback controller and parameter update laws are theoretically designed, wherein error feedback gains are introduced to control synchronization speed. Finally, GCCS among the hyperchaotic complex Lorenz system, complex Chen system, and complex Lü system is carried out to verify the correctness and effectiveness of the proposed scheme by numerical simulation.%该文针对含未知参数的异结构超混沌复系统，基于自适应控制及Lyapunov稳定性理论，提出一种新的自适应广义组合复同步方法(GCCS)。首先给出广义组合复同步的定义，将驱动-响应系统的同步问题转化为误差系统零解的稳定性问题；然后从理论上设计了非线性反馈同步控制器及参数辨识更新律，并引入误差反馈增益，以控制同步的收敛速度；最后以超混沌复Lorenz系统、超混沌复Chen系统、超混沌复Lü系统的广义组合复同步与参数估计为例，从数值仿真角度验证了所提方法的正确性和有效性。