Membership functions in L/sup 2/ space and its applications to fuzzy optimal control
Membership functions in L/sup 2/ space and its applications to fuzzy optimal control
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L/sup 2/空间中的隶属函数及其在模糊最优控制中的应用
DOI：
10.1109/icsmc.1999.823153
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
Y. Shidama
中科院分区：
文献类型：
--
作者：
T. Mitsuishi;J. Kawabe;K. Wasaki;P. Kawamoto;Y. Shidama
本文所讨论的模糊控制是一种非线性反馈控制，其反馈律由if-then型模糊规则通过积和重心法确定。然后，积分成本（效益）的模糊控制函数可以被认为是一个连续的功能上的一组适当的隶属函数。研究了乘积和引力法在模糊隶属函数空间上的连续性，证明了存在一个使积分成本（效益）函数最小（最大）的隶属函数.
The fuzzy control discussed here is nonlinear feedback control in which the feedback laws are determined by if-then type fuzzy rules through the product-sum-gravity method. Then the integral cost (benefit) function of the fuzzy control can be considered as a continuous functional on an appropriate set of membership functions. We study the continuity of the product-sum-gravity method defined on some fuzzy membership function space, and show the existence of a membership function which minimizes (maximizes) the integral cost (benefit) function.