• DocumentCode
    1623827
  • Title

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

  • Author

    Mitsuishi, Takashi ; Kawabe, Jun ; Wasaki, Katsumi ; Kawamoto, Pauline ; Shidama, Yasunari

  • Author_Institution
    Fac. of Eng., Shinshu Univ., Nagano, Japan
  • Volume
    3
  • fYear
    1999
  • fDate
    6/21/1905 12:00:00 AM
  • Firstpage
    51
  • Abstract
    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
  • Keywords
    feedback; fuzzy control; fuzzy set theory; nonlinear control systems; optimal control; optimisation; topology; L2 space; continuity; fuzzy optimal control; if-then type fuzzy rules; integral benefit function; integral cost function; membership functions; nonlinear feedback control; product-sum-gravity method; Fuzzy control; Gravity; Hilbert space; Humans; Lattices; Nonlinear equations; Optimal control; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
  • Conference_Location
    Tokyo
  • ISSN
    1062-922X
  • Print_ISBN
    0-7803-5731-0
  • Type

    conf

  • DOI
    10.1109/ICSMC.1999.823153
  • Filename
    823153
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1623827