不同结构混沌系统的自适应同步和反同步

针对不同结构混沌系统的同步与反同步问题进行了研究.在系统参数已知时，采用主动控制法实现混沌系统的同步与反同步，并将主动控制器的设计方法进行了推广.在参数未知时，基于Lyapunov稳定性理论和自适应控制方法，给出了自适应控制器和参数自适应律，实现了参数均未知且结构不同的驱动系统和响应系统的同步与反同步.在控制器的设计过程中，将驱动系统和响应系统进行互换，讨论了互换前后的控制器和自适应律之间的关系.数值仿真结果说明了所提出设计方法的有效性. 关键词： 混沌同步 反同步 主动控制法 自适应控制法

Adaptive synchronization and anti-synchronization of two different chaotic systems

Chaos synchronization and anti-synchronization of two chaotic systems with different structures are investigated. When the parameters are known in advance, the synchronization and anti-synchronization are realized by the active control. The method of designing controllers with active control is generalized. When the parameters are completely unknown, the adaptive controllers and the adaptive laws of parameters are given based on the Lyapunov stability theory and adaptive control method, which realizes adaptive synchronization and anti- synchronization of two different chaotic systems, and identifies the unknown parameters. The drive system and response system are interchanged during the controller designing. The relationship of the controllers and the adaptive laws before and after the interchangement are investigated. The numerical simulation results verify the effectiveness of the proposed scheme.