带积分环节的隶属度函数中心自适应模糊控制器设计

A New Method to Design Stable Scaling Universe of Discourse of Integral Fuzzy Controller Based on Center of Membership Function

自适应变论域模糊控制是改变模糊控制性能的主要方法之一,针对自适应变论域模糊控制器的稳定性设计这一难题,将输入和输出的隶属度函数分别用论域值表示成解析形式;针对典型模糊控制系统没有考虑积分环节带来的稳态误差问题,设计一种积分器,并从减小控制规则数目的角度出发设计了针对积分环节的控制规则库;引进Lyapunov函数,设计了输入隶属度函数论域值的自适应律和输出隶属度函数中心取值的自适应律,最后针对Duffing非线性系统仿真,结果表明设计的变论域模糊控制器是可行的。

The paper aimed at the difficult problem of designing stable adaptive controller based on scaling Universes of Discourse, let input membership function and output membership function be denoted as input universe of discourse and the center value of output membership function, added an integral factor in it＇s input to get a 3D FLC which was only based on seven rules, then adopted a kind of Lyapunov function, designed a adaptive law of input universe of discourse and the center value of output membership function. The numerical results showed that the method was effective.