Liu混沌系统的参数识别自适应同步

Parameter identification adaptive synchronization of Liu chaotic system

以Liu系统的混沌现象为例,画出一个混沌吸引子相图,讨论Liu混沌系统自同步的问题.研究Liu混沌系统的自适应同步和响应系统参数识别,利用参数识别自适应控制技术,设计非线性控制器,找出参数自适应律、控制器系数的范围,同时提出了控制增益.借助Lyapunov稳定性理论及La Salle不变集原理,给出了响应系统参数识别的充分条件,并通过数值仿真验证了所给方法的真实有效性.

A chaotic phenomena of the Liu system is studied,and a chaotic attractor of the system is draw.Then,adaptive synchronization of Liu chaotic system is discussed.And adaptive synchronization and parameter identification of response system problems of a class of Liu chaotic system are studied.Parameter identification adaptive control technology is used.The nonlinear controller is designed,the parameter adaptive law and the scope of the controller coefficient are foud out.And the control is given by Lyapunov stability theory and principles of La Salle invariant set.So the sufficient condition of the parameter identification of response system is given.The method given in this paper is real validity by numerical simulation.