Rossler系统与统一混沌系统的异结构同步

针对异结构混沌系统的同步提出了两种不同的同步方案,研究了两个不同结构的混沌系统:Rossler系统与统一混沌系统的同步。系统参数已知时采用主动控制方法,通过设计适当的主动控制器,实现了响应系统与驱动系统的渐近同步;系统参数不确定或未知时采用自适应控制方法,基于李亚普诺夫稳定性理论,得出了两异结构混沌系统同步的充分条件,设计了相应的控制器和参数自适应律,使得响应系统的状态变量渐近跟踪驱动系统的状态变量,且两个系统的参数估计值渐近收敛于其真值,仿真结果证明了两种方案的有效性。

Synchronization between Rossler system and unified chaotic system with different structures

Two different chaos synchronization schemes are proposed,synchronization between two different chaotic systems: Rossler system and unified chaotic system are studied.Active control is used when system parameters are known,chaos synchronization between response system and drive system is realized by designing a proper active controller;adaptive control is used when system parameters are uncertain or unknown,sufficient condition of synchronization between two different chaotic systems is derived,and the corresponding controller and parameter update law are designed based on Lyapunov stability theory,such that the states of response system can track the states of drive system asymptotically,and the estimate values of two systems can converge to their true values asymptotically.Simulation results show the effectiveness of the proposed schemes.