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A Unified Nonlinear Control Approach to Robots with Multiple Dynamic Motions

Research Project

Project/Area Number 21560258
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent mechanics/Mechanical systems
Research InstitutionThe University of Electro-Communications

Principal Investigator

TANAKA Kazuo  電気通信大学, 大学院・情報理工学研究科, 教授 (00227125)

Co-Investigator(Kenkyū-buntansha) 大竹 博  電気通信大学, 大学院・情報理工学研究科, 助教 (60377017)
Co-Investigator(Renkei-kenkyūsha) OHTAKE Hiroshi  九州工業大学, 大学院・情報工学研究院, 准教授 (60377017)
WANG Hua  Boston大学, 工学部, 准教授
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords統一的非線形制御アプローチ / Sum of Squares(SOS) / 飛行ロボット / メカトロニクス / ロボット / 非線形制御
Research Abstract

We develop a unified nonlinear control approach to aerial-vehicles/flying robots as an example of robots with multiple dynamic motions. We succeed in constructing an algorithm of transforming an original nonlinear system(motion of equations for aerial-vehicles/flying robots) to a polynomial system representation and developing a sum-of-squares based nonlinear controller design method for the transformed polynomial system. We demonstrate the utility of our approach through hovering and trajectory tracking control experiments of a flying robot.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (54 results)

All 2012 2011 2010 2009 Other

All Journal Article (11 results) (of which Peer Reviewed: 6 results) Presentation (39 results) Remarks (4 results)

  • [Journal Article] Wireless Vision-based Stabilization of Indoor Micro Helicopter2012

    • Author(s)
      K.Tanaka, H.Ohtake, M.Tanaka, H.Wang
    • Journal Title

      IEEE/ASME Transactions on Mechatronics

      Volume: (Accepted) Issue: 3 Pages: 519-524

    • DOI

      10.1109/tmech.2011.2181532

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Relaxed Stabilization Criterion for Discrete T-S Fuzzy Systems by Minimum Type Piecewise Non-quadratic Lyapunov Function2012

    • Author(s)
      Y.-J.Chen, H.Ohtake, K.Tanaka, W.-J.Wang, H.Wang
    • Journal Title

      IET Control Theory & Applications

      Volume: (Accepted)(掲載確定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Shared Nonlinear Control in Wireless-Based Remote Stabilization : A Theoretical Approach2012

    • Author(s)
      K.Tanaka, M.Tanaka, H.Ohtake, H.Wang
    • Journal Title

      IEEE/ASME Transactions on Mechatronics

      Volume: (Accepted) Issue: 3 Pages: 443-453

    • DOI

      10.1109/tmech.2012.2187303

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 可変迎角機構を有する飛行ロボットシミュレーションモデルの構築2010

    • Author(s)
      東善之, 田中一男, 大竹博
    • Journal Title

      日本機械学会論文集(C編)

      Volume: 76-762 Pages: 361-370

    • Related Report
      2011 Final Research Report
  • [Journal Article] 博可変迎角機構を有する飛行ロボットシミュレーションモデルの構築2010

    • Author(s)
      東善之, 田中一男, 大竹
    • Journal Title

      日本機械学会論文集(C編)

      Volume: Vol.76 Pages: 361-370

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 同軸反転型マイクロヘリコプタの飛行安定化制御2009

    • Author(s)
      大竹博, 飯村健, 田中一男
    • Journal Title

      日本知能情報ファジィ学会誌

      Volume: 21-1 Pages: 100-106

    • NAID

      110007109668

    • Related Report
      2011 Final Research Report
  • [Journal Article] Guaranteed Cost Control of Polynomial Fuzzy Systems via a Sum of Squares Approach2009

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake and Hua O. Wang
    • Journal Title

      IEEE Transactions on Systems, Man and Cybernetics Part B

      Volume: 39-2 Pages: 561-567

    • Related Report
      2011 Final Research Report
  • [Journal Article] A Sum of Squares Approach to Modelingand Control of Nonlinear Dynamical Systemswith Polynomial Fuzzy Systems2009

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake and Hua O. Wang
    • Journal Title

      IEEE Transactions on Fuzzy Systems

      Volume: 17-4 Pages: 911-922

    • Related Report
      2011 Final Research Report
  • [Journal Article] Guaranteed Cost Control of Polynomial Fuzzy Systems via a Sum of Squares Approach2009

    • Author(s)
      K.Tanaka, H.Ohtake, H.O.Wang
    • Journal Title

      IEEE Transactions on Systems, Man and Cybernetics Part B 39

      Pages: 561-567

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Sum of Squares Approach to Modeling and Control of Nonlinear Dynamical Systems with Polynomial Fuzzy Systems2009

    • Author(s)
      K.Tanaka, H.Ohtake, H.O.Wang
    • Journal Title

      IEEE Transactions on Fuzzy Systems 17

      Pages: 911-922

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wireless Vision-based Stabilization of Indoor Micro Helicopter

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake, Motoyasu Tanaka and Hua O. Wang
    • Journal Title

      IEEE/ASME Transactionson Mechatronics

      Volume: (Accepted)

    • Related Report
      2011 Final Research Report
  • [Presentation] The 11^<th> International Conference on Automation Technology (Automation 2011)2011

    • Author(s)
      K.Tanaka
    • Organizer
      A Unified Fuzzy Model-Based Framework for Nonlinear Control of Mechanical Systems: From Backing-up of Truck-Trailers to Tracking Control of Flying Vehicles
    • Place of Presentation
      National Yunlin Univ. of Science and Technology, Yunlin, Taiwan(招待講演)
    • Year and Date
      2011-11-19
    • Related Report
      2011 Annual Research Report
  • [Presentation] The 19th National Conference on Fuzzy Theory and Its Applications2011

    • Author(s)
      K.Tanaka
    • Organizer
      A Unified Fuzzy Model-Based Framework for Nonlinear Control of Mechanical Systems
    • Place of Presentation
      National Formosa University, Huwei, Taiwan(招待講演)
    • Year and Date
      2011-11-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] Fuzzy Model-based Servo Control for Discrete-Time Nonlinear Systems with Constraints2011

    • Author(s)
      H.Ohtake, K.Tanaka, H.Wang
    • Organizer
      18^<th> World Congress of International Federation of Automatic Control (IFAC)
    • Place of Presentation
      Universita Cattolica del Sacro Cuore, Milano, Italy
    • Year and Date
      2011-08-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] An SOS-based Observer Design for Polynomial2011

    • Author(s)
      K.Tanaka, H.Ohtake, T.Seo, H.Wang
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      Hilton Hotel, San Francisco, USA
    • Year and Date
      2011-07-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] An Improved Approach to Fuzzy Model Construction and Servo Control with Constraints based on Error Dynamics, 2011 American Control Conference2011

    • Author(s)
      H.Ohtake, K.Tanaka, H.Wang
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      Hilton Hotel, San Francisco, USA
    • Year and Date
      2011-07-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] A Polynomial Observer Design for a Wider Class of Polynomial Fuzzy Systems2011

    • Author(s)
      T.Seo, H.Ohtake, K.Tanaka, Y.-J.Chen, H.Wang
    • Organizer
      2011 IEEE International Conference on Fuzzy Systems
    • Place of Presentation
      Hyatt Regency, Taipei, Taiwan
    • Year and Date
      2011-06-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] An SOS-based Observer Design for Polynomial Fuzzy Systems2011

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake, Toshiaki Seo and Hua O. Wang
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      San Francisco
    • Related Report
      2011 Final Research Report
  • [Presentation] 多項式ファジィモデルに対するSum of Squares設計条件の導出2010

    • Author(s)
      猿木恭文, 大竹博田中一男
    • Organizer
      SICEシステムインテグレーション部門講演会
    • Place of Presentation
      東北大学,仙台
    • Year and Date
      2010-12-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] パッシブ姿勢安定化機構を備えた飛行ロボットのホバリング制御2010

    • Author(s)
      駒井利之, 大竹博, 田中一男
    • Organizer
      SICEシステムインテグレーション部門講演会
    • Place of Presentation
      東北大学,仙台
    • Year and Date
      2010-12-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] マルチ平行リンク回転翼を用いた飛行ロボットの性能向上2010

    • Author(s)
      大石徹太郎, 田中一男, 大竹博
    • Organizer
      第28回ロボット学会学術講演会
    • Place of Presentation
      名古工業大学
    • Year and Date
      2010-09-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Fuzzy Model-based Servo Control with Constraints on both of Inputs and States2010

    • Author(s)
      H.Ohtake, K.Tanaka, H.O.Wang
    • Organizer
      2010 IEEE Multi-Conference on Systemsand Control
    • Place of Presentation
      Pacifico Yokohama, Yokohama, Japan
    • Year and Date
      2010-09-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] 多項式ファジィシステムに対するSOS-Based Observerの設計2010

    • Author(s)
      和田基宏, 妹尾俊明, 大竹博, 田中一男
    • Organizer
      第28回ファイシステムシンポジウム
    • Place of Presentation
      広島大学
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Piecewise Lyapunov Functionに基づくSwitchingファジィ制御器によるH∞制御系の設計2010

    • Author(s)
      Chen Ying-Jen, 大竹博, 田中一男, Wang Wen-Jun, 井上皓平, 猿木恭文
    • Organizer
      第28回ファイシステムシンポジウム
    • Place of Presentation
      広島大学
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] 離散ファジィシステムの安定条件の緩和について2010

    • Author(s)
      井上皓平, 田中一男
    • Organizer
      第28回ファイシステムシンポジウム
    • Place of Presentation
      広島大学
    • Year and Date
      2010-09-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability Analysis of Nonlinear Systems via Multiple MixedMax-Min based Lyapunov Functions2010

    • Author(s)
      K.Tanaka, H.Ohtake, T.Yamaguchi, H.O.Wang
    • Organizer
      2010 IEEE World Congress on Computati-onal lntelligence
    • Place of Presentation
      Centre de Convencions Internacional de Barcelona, Barcelona, Spain
    • Year and Date
      2010-07-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability Analysis for the Polynomial Fuzzy Systems by utilizing Equality Constraints of Sum-of Squares Program2010

    • Author(s)
      Y-J.Chen, H.Ohtake, K.Tanaka, W.-J.Wang, H.O.Wang
    • Organizer
      2010International Conference on System Science and Engineering
    • Place of Presentation
      National Taipei University of Technology, Taipei, Taiwan
    • Year and Date
      2010-07-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] 視覚情報による小型ヘリコプタの飛行制御2010

    • Author(s)
      佐藤雄一, 大竹博, 田中一男, 駒井利之
    • Organizer
      Robomec2010
    • Place of Presentation
      旭川大雪アリーナ,旭川
    • Year and Date
      2010-06-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] パッシブ姿勢安定化機構を備えた飛行ロボットの開発2010

    • Author(s)
      駒井利之, 大竹博, 田中一男
    • Organizer
      Robomec2010
    • Place of Presentation
      旭川大雪アリーナ,旭川
    • Year and Date
      2010-06-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Stability Analysis of Nonlinear Systems via Multiple Mixed Max-Min based Lyapunov Functions2010

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake, Takehito Yamaguchi and Hua O. Wang
    • Organizer
      2010 IEEE World Congress on Computational Intelligence
    • Place of Presentation
      Barcelona
    • Related Report
      2011 Final Research Report
  • [Presentation] Polynomial Fuzzy Observer Design : A Sum of Squares Appraoch2009

    • Author(s)
      K.Tanaka, H.Ohtake, M.Wada, H.O.Wang, Ying-Jen Chen
    • Organizer
      48^<th> IEEE conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] H Infinity Control of T-S Fuzzy Systems Using Piecewise Lyapunov Function Based Switching Fuzzy Controller2009

    • Author(s)
      Y.Chen, H.Ohtake, K.Tanaka, W.Wang, H.O.Wang
    • Organizer
      48^<th> IEEE conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Improvement of Simulation Model and Development of Control Mechanism of Force Direction for a Flying Robot with Cyclogyro Wing2009

    • Author(s)
      Y.Higashi, K.Tanaka, H.Ohtake
    • Organizer
      IEEE/RSJ Inrernational Conference on Intelligent Robots and Systems
    • Place of Presentation
      St.Louis,, USA
    • Year and Date
      2009-10-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] マルチ平行リンク回転翼を用いた飛行ロボットの開発2009

    • Author(s)
      長谷川信, 杉本晋介, 田中一男, 大竹博
    • Organizer
      第27回日本ロボット学会学術講演会
    • Place of Presentation
      横浜
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] サイクロジャイロ翼を有する飛行ロボットのための推進力の方向制御機構開発2009

    • Author(s)
      東善之, 田中一男, 大竹博
    • Organizer
      第27回日本ロボット学会学術講演会
    • Place of Presentation
      横浜
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] パンタグラフ式可変翼機構を用いた回転翼型飛行ロボットの性能改善2009

    • Author(s)
      三宅祐一, 田中一男, 大竹博
    • Organizer
      第27回日本ロボット学会学術講演会
    • Place of Presentation
      横浜
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Switching Fuzzy Model Construction based on Optimal Dividing Planes2009

    • Author(s)
      H.Ohtake, K.Tanaka, H.O.Wang
    • Organizer
      FUZZ-IEEE 2009
    • Place of Presentation
      Juju, Korea
    • Year and Date
      2009-08-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Relaxed Stabilization Conditions of T-S Fuzzy Systems Using Piecewise Lyapunov Function Based Switching Fuzzy Controller2009

    • Author(s)
      Y.Chen, H.Ohtake, K.Tanaka, W.Wang, H.O.Wang
    • Organizer
      FUZZ-IEEE 2009
    • Place of Presentation
      Juju, Korea
    • Year and Date
      2009-08-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] SOSに基づく多項式ファジィオブザーバの設計2009

    • Author(s)
      和田基宏、田中一男、大竹博
    • Organizer
      第25回ファジィシステムシンポジウム
    • Place of Presentation
      つくば
    • Year and Date
      2009-07-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Picewise Lyapunov Functionを用いたSwitchingファジィ制御器による高木・菅野ファジィシステムの安定化条件2009

    • Author(s)
      Y.Chen, H.Ohtake, K.Tanaka, W.Wang, M.Wada
    • Organizer
      第25回ファジィシステムシンポジウム
    • Place of Presentation
      つくば
    • Year and Date
      2009-07-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Max/Min混合型リアプノフ関数を用いた非線形システムの安定解析2009

    • Author(s)
      山口剛人, 大竹博, 田中一男
    • Organizer
      第25回ファジィシステムシンポジウム
    • Place of Presentation
      つくば
    • Year and Date
      2009-07-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guaranteed Cost Control of T-S Fuzzy Systems Using Piecewise Lyapunov Function Based Switching Fuzzy Controller2009

    • Author(s)
      Y.Chen, H.Ohtake, W.Wang, K.Tanaka, H.O.Wang
    • Organizer
      2009 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Saint Petersburg, Russia
    • Year and Date
      2009-07-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Fuzzy Model-Based Servo Control for Nonlinear Systems with Input Constraint2009

    • Author(s)
      H.Ohtake, K.Tanaka, H.O.Wang
    • Organizer
      2009 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Saint Petersburg, Russia
    • Year and Date
      2009-07-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Improved Controller Design for Switching Fuzzy Model-Based Control2009

    • Author(s)
      H.Ohtake, K.Tanaka, H.O.Wang
    • Organizer
      2009 American Control Conference
    • Place of Presentation
      St.Louis, USA
    • Year and Date
      2009-06-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Stabilization of Complex Switched Networks with Two Types of Delays Via Impulsive Control2009

    • Author(s)
      M.Yang, Y.Wang, H.O.Wang, K.Tanaka, J.Xiao
    • Organizer
      2009 American Control Conference
    • Place of Presentation
      St.Louis, USA
    • Year and Date
      2009-06-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] 翼の変形を抑制するための両持ち構造を有するパンタグラフ式回転翼の開発2009

    • Author(s)
      跡治保尭、田中一男、大竹博
    • Organizer
      ROBOMEC'09
    • Place of Presentation
      福岡
    • Year and Date
      2009-05-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] 搭載カメラのみを用いた屋内用小型ヘリコプタの自己位置・姿勢推定と飛行制御2009

    • Author(s)
      飯村健、大竹博、田中一男、跡治保尭
    • Organizer
      ROBOMEC'09
    • Place of Presentation
      福岡
    • Year and Date
      2009-05-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guaranteed Cost Control of T-S Fuzzy Systems Using Piecewise Lyapunov Function Based Switching Fuzzy Controller2009

    • Author(s)
      Ying-Jen Chen, Hiroshi Ohtake, Wen-june Wang, Kazuo Tanaka, Hua O. Wang
    • Organizer
      2009 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Saint Petersburg
    • Related Report
      2011 Final Research Report
  • [Presentation] Improvement of Simulation Model and Development of Control Mechanism of Force Direction for a Flying Robot with Cyclogyro Wing2009

    • Author(s)
      Yoshiyuki Higashi, Kazuo Tanaka, Hiroshi Ohtake
    • Organizer
      IEEE/RSJ Inrernational Conference on Intelligent Robots and Systems
    • Place of Presentation
      Accepted, St. Louis
    • Related Report
      2011 Final Research Report
  • [Presentation] Polynomial Fuzzy Observer Design : A Sum of Squares Appraoch2009

    • Author(s)
      Kazuo Tanaka, Hiroshi Ohtake, Motoshiro Wada, Hua O. Wang, Ying-Jen Chen
    • Organizer
      48th IEEE conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.rc.mce.uec.ac.jp/

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.rc.mce.uec.ac.jp

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.rc.mce.uec.ac.jp

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.rc.mce.uec.ac.jp

    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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