异结构不确定混沌系统的同步控制与参数识别

设计了一种同步控制器和参数识别器来实现异结构不确定混沌系统的同步控制。以单模激光Lorenz系统和不确定Genesio系统为例，验证了这种控制器的有效性。根据Lyapunov稳定性理论，分步构造出Lyapunov函数，从而给出同步控制器和参数识别器的结构。仿真结果表明：利用本文提出的同步控制方案，仅用一个控制器就能使不确定Genesio系统的所有状态变量严格地跟踪Lorenz系统的混沌轨迹，而且误差变量经过短暂的时间序列以后始终平稳地趋于零，实现了异结构混沌系统的混沌同步,且不确定Genesio系统的参数全部可以得到识别。

Synchronization control and parameter identification for uncertain chaotic systems with diverse structures

The parameter identificator and synchronization controller were designed to synchronize the uncertain chaotic systems with diverse structures. Taking the single-mode laser Lorenz system and Genesio system as examples, the method was proved effective and feasible. The Lyapunov function was deduced based on Lyapunov stability theory, and the structures of the identificator and the controller were presented. The simulation results show that all the state variables of the Genesio system can be synchronized with those in the uncertain Lorenz system by only one controller, the error signals approach to zero smoothly and quickly, and the synchronization between different chaotic systems is realized. All the parameters of the unknown Lorenz system can be identified.