利用主动控制思想实现了两个具有未知参数干扰的不确定混沌系统的同步。通过在控制器中添加误差补偿项来消除参数干扰对系统同步的影响,并利用矩阵理论中盖格尔圆定理给出了控制器中线性部分参数取值的一般范围。理论分析证明,所设计的响应系统能使同步误差收敛到零。最后针对Lorenz系统进行了仿真,结果表明设计的控制器是有效的。
An active control method for synchronization of two uncertain chaotic systems with parameter perturbation is presented. The adaptive compensation term for the parameter perturbation is adopted in the scheme, then based on Gerschgorin's theorem in matrix theory, some simple generic criteria for global synchronization between two chaotic systems are established. By Lyapunov stability theory, the tracking error is proven to be converging to zero. Finally, the proposed control strategy is applied to Lorenz systems to demonstrate the robustness and effectiveness, and satisfactory simulation results are obtained.