参数不确定下的反馈控制混沌同步

为实现参数不确定情况下的混沌同步，提出了一种基于参数辨识的反馈控制混沌同步方法．采用参数自适应控制策略对系统中的不确定参数进行辨识，并设计了线性反馈控制器，实现了参数不确定情况下的线性反馈混沌同步．进一步对线性反馈控制器参数采用自适应改进控制，简化了同步收敛条件的计算、同时，针对线性反馈控制非单调同步的局限性，设计了非线性反馈控制器，实现了性能良好的非线性反馈混沌同步、最后，通过对Lorenz系统的仿真结果验证了方法的有效性．分析表明，该同步方法能够有效地解决工程实际中出现的参数不确定下的混沌同步问题，具有一定的实用性．

Chaotic synchronization using feedback control under uncertain parameters

An approach of chaotic synchronization using feedback control based on parameters identification is proposed, which achieves the synchronization for a class of chaotic systems under uncertain parameters. According to the strategy of adaptive control for parameters, the uncertain parameters of system were controlled to realize the parameters identification, and a linear feedback controller was presented, which realizes the chaotic synchronization using linear feedback control under uncertain parameters. When an adaptive strategy for the feedback parameter was added in the linear controller, the calculation of synchronization conditions was simplified.Furthermore, a nonlinear feedback controller was successfully designed to solve the limitation that the linear feedback control cannot synchronize monotonously.Simulation results using the Lorenz system show the effectiveness of the approach.The analysis shows that the approach can solve the problem of chaotic synchronization under uncertain parameters in a project,and has certain practicaility.