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中文摘要：
估计混沌系统的未知参数是混沌控制与同步中必须解决的关键问题.针对两种不同类型的时滞混沌系统中的未知参数的辨识问题,将系统的未知参数看作系统的未知状态,利用非线性状态观测器理论进行参数估计,通过选取观测器中非线性增益函数,使得闭环误差系统指数或渐进稳定,从而给出参数估计器存在的充分条件.以典型的时滞Logistic系统为例进行了数值模拟,数值仿真结果表明,使用该方法可以对时滞混沌系统的未知参数进行有效地估计.
英文摘要：
It＇s of vital importance to estimate the unknown parameters of chaotic systems in chaos control and synchronization.Nonlinear observer is used to investigate the problem of parameter identification for two different types of time-delay chaotic systems.The unknown parameter is regarded as the unknown state of the chaotic system.Based on the theory of nonlinear state observer,by selecting suitable nonlinear gain function in observer,which makes the closed-loop error system globally exponentially stable or approximately stable,a sufficient condition for existence of parameter estimator is presented.A numerical simulation on the well-known time-delay logistic system is conducted.Simulation results show that the proposed method is effective for parameter estimation of the time-delay chaotic system.
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