研究了一类参数未知的分段修正Lorenz-Stenflo混沌系统的时滞广义投影同步问题.基于Lyapunov稳定性理论,提出了自适应非线性反馈控制器设计及其参数更新律,能够根据误差大小和状态变化自动调节反馈系数,在辨识出实时驱动系统和时滞响应系统多组未知参数的同时,实现所有状态变量的不同比例广义投影同步.仿真结果表明了该方法对分段混沌系统时滞同步的现实可行性和有效性.
The time-delayed generalized projective synchronization problem for a class of piecewise modified Lorenz-Stenflo chaotic system with unknown parameters is discussed. The adaptive nonlinear feedback controller and the parameter update rules are designed based on the Lyapunov stability theory,and the feedback gain can be adjusted adaptively according to the error values and the states. The method can make all full states asymptotically generalized projected synchronization and identify the real-time drive system and the time-delayed response system’s unknown parameters. Results of simulation verified the realistic feasibility and effectiveness of the proposed method to the time-delayed generalized projective synchronization of the piecewise chaotic system.