标量控制下的分数阶Lü系统的参数辨识和自适应同步

Parameters identification and adaptive synchronization of fractional-order Lü system va a scalar controller

为研究标量控制下的具有完全未知参数的分数阶混沌Lü系统的自适应同步方法,应用分数阶系统的稳定性理论,设计一个简单的标量自适应控制器以及参数校正律,不仅实现了分数阶混沌Lü系统的同步,而且从驱动系统和响应系统的时间序列估计出系统的所有不确定参数。数值模拟结果证明了该方法的有效性。

In order to investigate an adaptive synchronization method for fractional-order chaotic Lü systems with fully uncertain parameters via a scalar controller,the stability theorem of fractional-order systems,a simply adaptive scalar controller and parameter update laws are designed to not only realize the synchronization of fractional-order Lü systems but also estimate all the uncertain parameters from the time series of the drive and response systems. Numerical simulations demonstrate the effectiveness of the proposed method.