连续时间混沌系统控制与同步的状态反馈方法

State Feedback Approach to Controlling and Synchronizing Continuous-time Chaotic Systems

将连续时间混沌系统的控制与同步问题统一处理 ,在系统的非线性是 L ipschitz非线性的条件下 ,基于 L yapunov稳定性理论 ,提出一种实现连续时间混沌系统控制与同步的状态反馈方法。无论驱动系统处于何种状态 ,该方法都可使响应系统按照驱动系统给定的轨道演化。该方法对系统参数不匹配及噪声干扰具有一定的鲁棒性。数值仿真结果表明了所提出方法的有效性。

A state feedback approach to controlling and synchronizing continuous time chaotic systems is presented. Supposing the nonlinear parts of the chaotic systems are Lipschitz nonlinearity, synchronization of the drive and response systems can be accomplished by using the proposed approach. The proposed approach can tolerate nontrivial parametric mismatches as well as additive noise. Numerical experimental examples are used to verify the theoretical results.