不确定Lorenz系统的参数识别与异结构同步

Parameter Identification and Synchronization with Diverse Structures of Uncertain Lorenz Systems

摘要: 设计了一种参数识别器和同步控制器，研究了不确定混沌系统的参数识别与异结构同步问题．根据稳定性原理，确定了参数识别器和同步控制器的结构，以不确定Lorenz混沌系统和Rossler混沌系统为例，验证了其有效性．仿真模拟结果表明，在参数识别器和同步控制器的共同作用下，异结构不确定Lorenz混沌系统和Rossler混沌系统可以达到完全同步，并且不确定Lorenz混沌系统的参数全部可以得到识别．

Abstract: A parameter identifier and a synchronization controller are designed,and parameter identification and synchronization with diverse structures are discussed for uncertain chaotic systems.Structures of the identifier and the controller are presented based on stability theory,and uncertain Lorenz chaotic system and Rossler chaotic system are taken as examples to demonstrate the effectiveness of the presented method.The simulation results show that global synchronization between the uncertain Lorenz chaotic system and the Rossler chaotic system can be achieved under the coaction of the identifier and the controller,and all the parameters of the Lorenz chaotic system can be identified.