一类连续混沌动态系统的状态观测器

为了实现一类混沌动态系统状态变量的观测，提出了混沌系统的非线性状态观测器的设计方法.基
于混沌动态系统的非线性函数项满足Lipschitz条件的基础上，利用李亚普诺夫稳定性理论，构造混沌系
统及其非线性观测器的状态误差方程的李亚普诺夫函数，给出了连续混沌动力学系统的状态观测器设计方
法，详细讨论了观测器控制参数的取值范围，研究了控制参数与观测器系统收敛速度的关系，并以
Duffing和Lorenz混沌动态系统为例进行了研究，仿真结果表明，利用该方法可以使观测器快速跟踪混沌
系统的状态变量，实现连续混沌动态系统状态变量的估计.

Generalized observer for continuous time chaotic dynamical systems

To observe the statement variables of a class of chaotic dynamical systems,a nonlinear statement observer of the chaotic system was presented.Based on the nonlinear function stem of chaotic dynamical systems satisfying the Lipschitz condition,the Lyapunov function ship of the error statement equation for chaotic system and nonlinear observer was constructed,and the statement observer design method of continuous chaotic dynamical systems was obtained with Lyapunov stabilization theory.After the method for choosing observer's parameters was discussed,the relationship of the observer control parameters and convergence rate were studied,and Duffing Equation and Lorenz chaotic dynamical system were taken as the examples.The simulation results show that nonlinear observer can track the statement variables of the chaotic dynamical system and rapidly realize estimation of the statement variables of chaotic systems.