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异结构同步一自治系统
引用本文:王东晓,周永卫. 异结构同步一自治系统[J]. 青岛大学学报(工程技术版), 2009, 24(4): 38-42
作者姓名:王东晓  周永卫
作者单位:郑州航空工业管理学院数理系,郑州,450015;郑州航空工业管理学院数理系,郑州,450015
基金项目:河南省教育厅基金资助项目,郑州航空工业管理学院青年基金资助项目 
摘    要:基于稳定性理论,对一自治系统的异结构同步与参数识别进行研究。首先完成在参数已知时自治系统与Lorenz系统的异结构同步问题;其次设计参数识别器与系统同步器,用于不确定自治系统与Lorenz系统的异结构同步与参数识别。理论证明了所设计控制器能够使受控误差系统全局渐进稳定到同步误差系统的零点,系统所有参数能被准确快速地辨识。数值仿真表明,在所设计参数识别器与系统同步器作用下,不确定自治系统与Lorenz系统可实现同步的有效性与可行性。

关 键 词:异结构同步  混沌系统  控制器  参数识别

Synchronization with Diverse Structures of an Autonomous Chaotic System
WANG Dong-xiao,ZHOU Yong-wei. Synchronization with Diverse Structures of an Autonomous Chaotic System[J]. Journal of Qingdao University(Engineering & Technology Edition), 2009, 24(4): 38-42
Authors:WANG Dong-xiao  ZHOU Yong-wei
Affiliation:(Dept. of Mathematic and Physics, Zhengzhou Institute of Aeronautieal Industry Management, Zhengzhou 450015, China)
Abstract:Based on stability theory, we study on the parameter identification and synchronization with different stuctures of an autonomous chaotic system. First, we study the diverse synchronization of autonomous chaotic system with the Lorenz chaotic system;then, a parameter identifier and a synchronization controller are designed,and the designed controller is proved to be able to globally asymptotically stabilize the controlled system to its zero point,which show that the method is feasible. At the same time,the accuracy of parameter identification is improved. Numerical simulation results show that global synchronization between the uncertain autonomous chaotic system and the Lorenz chaotic system can be achieved under the coaction of the identifier and the controller,and it is effective and feasible.
Keywords:synchronization with diverse structures  chaotic system  controller  parameter identificat
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