一类非线性系统的扇区模糊建模方法

Fuzzy Modeling Approach for a Class of Sector Nonlinear Systems

针对一类非线性系统的建模问题,以扇区非线性化为基础,提出了一种T-S模糊建模方法。首先在论域上确定出系统中非线性项的最大值和最小值;然后给出非线性项的隶属度函数;最后建立了非线性系统的T-S模糊线性模型。本算法计算简单,容易实现,同时,仿真结果也表明算法能够有效实现对原系统的逼近。

The modeling problem for a class of nonlinear systems is investigated.Based on sector nonlinearity, a T-S fuzzy modeling algorithm is proposed.Firstly, the maximum and minimum values of the nonlinear term in the system are determined.Secondly, according to the extreme values, the membership functions are derived.Finally, a T-S fuzzy model is established.The algorithm is simple and easy to implement.Meanwhile, simulation results show that the proposed algorithm can effectively achieve the approximation of the original system.