一个新自治混沌系统的混沌控制  

Chaos Controlling of a New Autonomous Chaotic System

作　　者：崔俊峰[1] 祝泽华 

机构地区：[1]陇南师范高等专科学校数学系,甘肃成县742500 [2]江苏省盐城技师学院数控技术系,江苏盐城224002

出　　处：《甘肃高师学报》2012年第2期6-8,共3页Journal of Gansu Normal Colleges

摘　　要：研究了一个新自治混沌系统的控制问题.当该混沌系统的参数未知时,基于Lyapunov稳定性理论,利用自适应控制策略,设计了相应的非线性控制器和参数自适应律将混沌系统的轨道控制到其任意一个平衡点,并借助Barbalat引理,从理论上证明保证了混沌控制的渐近稳定性.Matlab数值仿真结果表明了所选择的控制器和参数自适应律能有效地实现混沌控制.In this paper,the problem of chaos controlling of a new three-dimensional autonomous chaotic system is studied.When the parameters are unknown,based on the Lyapunov theory,corresponding controller and the adaptive law of parameters are designed to suppress chaos to any unstable equilibrium by the adaptive control strategy.The asymptotical stability of chaos control is guaranteed in theory by lemma of Barbalat.Numerical simulations by Matlab are provided to demonstrate the validity of the proposed nonlinear controller and the adaptive law of parameters for controlling chaos.

关 键 词：新自治混沌系统 混沌控制 自适应控制 

分 类 号：O415.5[理学—理论物理]