针对一类混沌系统,研究了参数未知的混沌系统的延迟同步.基于Lyapunov稳定性定理,给出了延迟同步控制器和参数自适应律的解析表达式.该方法简单、适用范围广.以新混沌系统为例,数值模拟说明了该方法的有效性和可行性.通过研究有界噪声作用下该系统的控制效果,表明了该方法具有较强的鲁棒性和抗干扰能力.
In this paper, the problem of lag synchronization for a class of chaotic systems with unknown parameters is proposed. Based on Lyapunov stability theory, lag controller and update law of parameters are obtained. This method is simple and systemic. A new chaotic system is taken as an example to illustrate the effectiveness of this proposed method. Numerical simulation illustrates the feasibility of this technique. To demonstrate the robustness against the effective of bounded noise of the proposed control strategy, it is applied to the new system and perfect simulation results are obtained.