一个三维混沌系统的控制与同步  

Control and synchronization of a three-dimensional chaotic system

作　　者：江明辉[1] 付文芳[1] 方胜乐[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《电机与控制学报》2009年第A01期139-143,148,共6页Electric Machines and Control

基　　金：国家自然科学基金(60740430664);教育部高校博士点基金(20070487052);湖北省教育厅优秀中青年科技创新团队计划项目(T200809);湖北省教育厅自然科学基金(2008CDZ046)

摘　　要：为了研究一个三维自治混沌系统的控制与同步问题,应用自适应控制方法研究混沌系统不稳定平衡点的镇定问题,得出了该系统关于平衡点渐近稳定的一个充分条件,并利用Lyapunov函数和LaSalle不变原理对结论给予了严格的证明。设计了一个较简单的控制器,采用非线性反馈控制方法研究了此混沌系统的错位同步问题,实现了响应系统和驱动系统之间的错位同步,并在Matlab上进行实例仿真。仿真结果表明自适应控制方法的快速有效性和错位同步的可实现性。This paper deals with the control and synchronization of a new three-dimensional continuous quadratic autonomous chaotic system. First, by utilizing adaptive control approaches, the stabilization of unstable equilibrium points of the chaotic system was studied; a sufficient condition of the asymptotical stableilization of equilibrium points was given; the strict proofs were presented in terms of Lyapunov functions and LaSalle invariant principle ; then a simple controller was designed; the mismatch synchronization of this chaotic system was investigated by nonlinear feedback control method, and the mismatch synchronization between drive system and respond system was achieved. Several numerical simulations by Matlab were given to show the effectiveness of the proposed chaos adaptive control and mismatch synchronization methods.

关 键 词：混沌系统 自适应控制 镇定 非线性反馈控制 错位同步 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]