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Membership functions in L2 space and its applications to fuzzy optimal control

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5 Author(s)
Mitsuishi, T. ; Fac. of Eng., Shinshu Univ., Nagano, Japan ; Kawabe, J. ; Wasaki, K. ; Kawamoto, P.
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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

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Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on  (Volume:3 )

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