输入采用广义梯形隶属函数的最简模糊控制器结构分析  

Structure Analysis of Simplest Fuzzy Controllers Using Generalized Trapezoid Shaped Input Membership Functions

作　　者：王宁[1] 孟宪尧[2] 

机构地区：[1]大连海事大学轮机工程学院,辽宁大连116026 [2]大连海事大学自动化所,辽宁大连116026

出　　处：《模糊系统与数学》2008年第2期156-161,共6页Fuzzy Systems and Mathematics

摘　　要：总结了应用最为广泛的三角形和梯形隶属函数的共同特点,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,推导了输入空间采用一致GTS(CGTS)模糊分划的两维最简模糊控制器的解析表达式。在此基础上,深入研究了CGTS模糊控制器的解析结构,证明了该模糊控制器等价于一种变结构的线性PI控制器与相应的定常控制偏置之和,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。The Generalized Trapezoid Shaped （GTS） linear ones, of input variables of fuzzy controllers are membership functions, more universal than any other well defined on the basis of distilling the commonness of triangular and trapezoid fuzzy sets. Based on obtaining the explicit analytical expression of the twodimensional simplest fuzzy controller with the input space using Consistent GTS （CGTS） fuzzy partition, analytical structure of CGTS fuzzy controller is deeply researched and it is proved that the fuzzy controller is equivalent to be variable structure combinations of linear PI controller and constant control offset. Moreover, the output of the fuzzy controller is monotone increasing, continuous and bounded with regard to the corresponding universe of discourse. Simultaneously, the better universality of this type of fuzzy controller is revealed.

关 键 词：模糊控制 广义梯形隶属函数 结构分析 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273.4[自动化与计算机技术—控制科学与工程]