异结构同步一自治系统

Synchronization with Diverse Structures of an Autonomous Chaotic System

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。

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.