具有扇区非线性输入的混沌系统函数投影同步

摘要

The modified function projective synchronization of chaotic systems with sector nonlinearity input, model uncertainties and external perturbation is discussed. Based on the Lyapunov stability theory and the variable structure control method of sliding mode, the sliding mode controller and adaptive update laws are designed, by which the synchronization of the drive and response systems to a desired scaling function matrix is realized. The proposed controller has a strong robust property since it is beyond the impact of input sector non-linearity, model uncertainty and external perturbation. Simulation results of the uncertain hyperchaotic system show the efficiency of the proposed controller.%研究了具有扇区非线性输入且含有模型不确定和外部干扰的混沌系统的修正函数投影同步问题.基于Lyapunov稳定性理论和滑模变结构控制方法,设计了统一的滑模控制器和自适应更新规则,使得混沌驱动系统和响应系统按照期望的函数尺度因子矩阵实现同步.所设计的控制器不受扇区非线性输入、模型不确定性和外部干扰的影响,具有很强的鲁棒性.以超混沌系统为例的仿真实验证明了该方法的有效性.