一种新的非线性离散时间系统的模糊辨识方法

摘要

A novel fuzzy identification scheme is presented for a class of nonlinear discrete-time systems.When the bound of approximation error is known,based on dead-zone function,the adaptive law for the unknown parameters in fuzzy logic system is designed.In the case of the bound of approximation error is unknown, based on time-varying dead-zone function, the adaptive law for the unknown parameters in fuzzy logic system is developed, and the size of time-varying dead-zone is adjusted adaptively.It is proved that the all designed adaptive law can make the identification error converge to a small neighborhood of the origin.Simulation results indicate the effectiveness of this method.%对一类非线性离散时间系统提出一种新的模糊的辨识方法.该方法在假设逼近误差界已知的情况下,基于死区函数对模糊逻辑系统中的未知参数设计自适应学习律；在逼近误差界未知的情况下,基于时变死区函数对模糊逻辑系统中的未知参数设计自适应学习律,并对时变死区进行自适应调节.证明了所设计的自适应学习律均可使辨识误差收敛到原点的一个小邻域内.仿真结果表明了该算法的有效性.