Membership functions in L/sup 2/ space and its applications to fuzzy optimal control
説明
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.
収録刊行物
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- IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028)
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IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028) 3 51-55, 2003-01-20
IEEE