摘要
结合三角形和梯形隶属函数的共性,明确定义了一种将以上两种隶属函数作为特例的广义梯形(GTS)隶属函数.推导了输入变量采用广义梯形隶属函数的Ⅰ类和Ⅱ类两维最简M amdan i模糊控制器的解析表达式.深入研究了该模糊控制器的解析结构,并证明了这两类模糊控制器等价于一种变结构的非线性(或线性)PI控制器与相应的非线性(或定常)变控制偏置之和,并且在其输入论域上是单调递增、连续且有界的;同时揭示了此类控制器是一种更一般化的模糊控制器.
This paper distills the commonness of triangular and trapezoid membership fnnetions,and explicitly defines the generalized trapezoid-shaped（GTS） membership funetions which nse these membership functions as two speeial eases,The explieit analytical expressions for type Ⅰ and type Ⅱ two-dimensional simplest Mamdani fuzzy controllers are derived,of which the input variables adpt GTS membership funetions.Analytical structures of the fuzzy comtollers are deeply investigated ,and it is proved that these two types of fuzzy controllers are equivalent to the variable structure combinations of monlinear （or lincar ）P1 controller and nonlineur（or constant）variable control offsets.Moreover,these fuzzy controllers are montonically increasing,continuous and bounded with regard to the corresponding niverse,Simultaneonsly,the beller universality of this type of fuzzy controller is revealed.
出处
《信息与控制》
CSCD
北大核心
2008年第1期34-39,45,共7页
Information and Control
关键词
模糊控制
广义梯形函数
结构分析
fuzzy control
generalized trapezoid-shaped（GTS） function
structure andalysis
