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Existence of optimal fuzzy feedback control and its successive approximations

Research Project

Project/Area Number 19700225
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionUniversity of Marketing and Distribution Sciences

Principal Investigator

MITSUISHI Takashi  University of Marketing and Distribution Sciences, 情報学部, 准教授 (00336439)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,460,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywordsファジィ理論 / 最適化問題 / コンパクト集合 / フアジイ制御 / ファジィ制御
Research Abstract

The existence of optimal feedback law constructed by IF-THEN rules and fuzzy approximate reasoning was analyzed. I treated an optimal control problem as finding a minimum value of the function on the compact set. The continuities of Nakamori inference method, the height method and the area method were proved by considering as functional on L^2 space and L-infinity respectively.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (30 results)

All 2010 2009 2008 2007

All Journal Article (26 results) (of which Peer Reviewed: 21 results) Presentation (4 results)

  • [Journal Article] Fuzzy Logic Control on L∞Space Using Fuzzy Number Instead of Premise Variables in IF-THEN Rules2010

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      Proc. of 2010 International Conference on Asia Pacific Business Innovation & Technology Management (APBITM) (CD-ROM)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzy Logic Control on L^∞ Space Using Fuzzy Number Instead of Premise Variables in IF-THEN Rules2010

    • Author(s)
      T.Mitsuishi, Y.Shidama
    • Journal Title

      Proc.of 2010 International Conference on Asia Pacific Business Innovation & Technology Management (CD-ROM)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuity of Defuzzification and Its Application to Fuzzy Control2009

    • Author(s)
      T. Mitsuishi, K. Sawada, Y. Shidama
    • Journal Title

      Proc. of World Congress on Science, Engineering and Technology vol.38

      Pages: 817-821

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Adding Edges between One Node and Every Other Node with the Same Depth in a Complete K-ary Tree2009

    • Author(s)
      K. Sawada, T. Mitsuishi
    • Journal Title

      Proc. of World Congress on Science, Engineering and Technology vol.38

      Pages: 702-704

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Compactness of Family of Fuzzy Sets in L2 Space with Application to Optimal Control2009

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E92-A,No.4

      Pages: 952-957

    • NAID

      10026856775

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Height Defuzzification Method on L∞Space2009

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      Proc. of 19th International Conference on Artificial Neural Networks (ICANN2009), Part I(Springer-Verlag LNCS) 5768

      Pages: 598-607

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Defuzzification Using Area Method on L∞Space2009

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      Proc. of 13th International Conference on Knowledge-Based and Intelligent Information & Engineering Systems (KES2009), Part II(Springer-Verlag LNAI) 5712

      Pages: 236-243

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Compactness of Family of Fuzzy Sets in L^2 Space with Application to Optimal Control2009

    • Author(s)
      T.Mitsuishi, Y.Shidama
    • Journal Title

      IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E92-A, No.4

      Pages: 952-957

    • NAID

      10026856775

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Height Defuzzification Method on L^∞ Space2009

    • Author(s)
      T.Mitsuishi, Y.Shidama
    • Journal Title

      Proc.of 19th International Conference on Artificial Neural Networks(ICANN2009)Springer-Verlag LNCS, Part I 5768

      Pages: 598-607

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Defuzzification Using Area Method on L^∞ Space2009

    • Author(s)
      T.Mitsuishi, Y.Shidama
    • Journal Title

      Proc.of 13th KES2009, Part II, Springer-Verlag LNAI 5712

      Pages: 236-243

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] L2空間ファジィ集合族のコンパクト性と最適制御への応用2008

    • Author(s)
      三石貴志, 師玉康成
    • Journal Title

      第21回回路とシステム軽井沢ワークショップ論文集

      Pages: 45-50

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Admissible Fuzzy Controller in L2 Space2008

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      Proc. of 21st International Conference on industrial, Engineering and Other Applications of Applied Intelligent Systems, IEA-AIE(Springer-Verlag, LNCS (LNAI)) vol.5027

      Pages: 62-71

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lipschitz Continuity of Approximate Reasoning2008

    • Author(s)
      T. Mitsuishi, T. Terashima, T. Homma, Y. Shidama
    • Journal Title

      Proc. of Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2008)

      Pages: 135-140

    • NAID

      40015454390

    • Related Report
      2009 Final Research Report
  • [Journal Article] Forming Relations between a Liaison and Two Members of the Same Level in an Organization Structure of a Complete K-ary Tree2008

    • Author(s)
      K. Sawada, T. Mitsuishi
    • Journal Title

      Proceedings of the 9th Asia Pacific Industrial Engineering & Management Systems Conference (APIEMS)

      Pages: 2811-2814

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 高さ法による非ファジィ化の解析2008

    • Author(s)
      三石貴志
    • Journal Title

      流通科学大学論集, 経済・経営情報編 第16巻,第2号

      Pages: 19-26

    • NAID

      120005328190

    • Related Report
      2009 Final Research Report
  • [Journal Article] 面積法を用いた非ファジィ化の連続性2008

    • Author(s)
      三石貴志
    • Journal Title

      流通科学大学論集, 流通・経営編 第21巻,第1号

      Pages: 25-36

    • NAID

      120005328094

    • Related Report
      2009 Final Research Report
  • [Journal Article] 面積法を用いた非ファジィ化の連続性2008

    • Author(s)
      三石貴志
    • Journal Title

      流通科学大学論集流通・経営編 21

      Pages: 25-36

    • NAID

      120005328094

    • Related Report
      2008 Annual Research Report
  • [Journal Article] L^2空間ファジィ集合族のコンパクト性と最適制御への応用2008

    • Author(s)
      三石貴志
    • Journal Title

      第21回回路とシステム軽井沢ワークショップ論文集

      Pages: 45-50

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Admissible Fuzzy Controller in L^2 Space2008

    • Author(s)
      T. Mitsuishi
    • Journal Title

      Proc. of 21st IEA-AIE, Springer-Verlag, LNCS (LNAI) 5027

      Pages: 62-71

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lipschitz Continuity of Approximate Reasoning2008

    • Author(s)
      T. Mitsuishi
    • Journal Title

      Proc. of Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing

      Pages: 135-140

    • NAID

      40015454390

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Forming Relations between a Liaison and Two Members of the Same Level in an Organization Structure of a Complete K-ary Tree2008

    • Author(s)
      K. Sawada
    • Journal Title

      Proceedings of the 9th Asia Pacific Industrial Engineering & Management Systems Conference

      Pages: 2811-2814

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Adding Edges between One Node and Every Other Node with the Same Depth in a Complete K-ary Tree2008

    • Author(s)
      K. Sawada
    • Journal Title

      Proc. of World Congress on Science, Engineering and Technology 38

      Pages: 702-704

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuity of Defuzzification and Its Application to Fuzzy Control2008

    • Author(s)
      T. Mitsuishi
    • Journal Title

      Proc. of World Congress on Science, Engineering and Technology 38

      Pages: 817-821

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 高さ法による非ファジィ化の解析2008

    • Author(s)
      三石貴志
    • Journal Title

      流通科学大学論集 経済・経営情報編 16

      Pages: 19-26

    • NAID

      120005328190

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Continuity of Fuzzy Approximate Reasoning and Its Application to Optimization2008

    • Author(s)
      T. Mitsuishi
    • Journal Title

      AI2007, Springer-Verlag, LNCS (LNAI) 4830

      Pages: 529-538

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuity of Fuzzy Approximate Reasoning and Its Application to Optimization2007

    • Author(s)
      T. Mitsuishi, Y. Shidama
    • Journal Title

      Proc. of 20th Australian Joint Conference on Artificial Intelligence(Springer-Verlag) vol.4830

      Pages: 529-538

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Presentation] 前件部変数をファジィ数とした推論法に関する一考察2010

    • Author(s)
      三石貴志, 師玉康成
    • Organizer
      信学技報
    • Place of Presentation
      おきえらぶフローラルホテル
    • Year and Date
      2010-03-12
    • Related Report
      2009 Final Research Report
  • [Presentation] 前件部変数をファジィ数とした推論法に関する一考察2010

    • Author(s)
      三石貴志, 師玉康成
    • Organizer
      電子情報通信学会情報通信マネジメント研究会
    • Place of Presentation
      おきえらぶフローラルホテル
    • Year and Date
      2010-03-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] ファジィ推論計算の前件部変数上のリプシッツ連続性2007

    • Author(s)
      三石貴志, 師玉康成
    • Organizer
      平成19年度電気関係学会四国支部連合大会講演論文集
    • Place of Presentation
      徳島大学
    • Year and Date
      2007-09-29
    • Related Report
      2009 Final Research Report
  • [Presentation] ファジィ推論計算の前件部変数上のリプシッツ連続性2007

    • Author(s)
      三石貴志
    • Organizer
      平成19年度電気関係学会四国支部連合大学
    • Place of Presentation
      徳島大学
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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