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Development of High-Accuracy Control Methods for Nonlinear Distributed Parameter Systems based on Ultra-Discrete Mechanics

Research Project

Project/Area Number 24760339
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering
Research InstitutionTokyo University of Science

Principal Investigator

KAI TATSUYA  東京理科大学, 基礎工学部, 講師 (60419471)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords離散力学 / 非線形システム / 分布定数系 / 数値計算法 / 制御理論 / 非線形最適化 / 数値計算 / 非線形 / 制御
Outline of Final Research Achievements

This research project aims at development of “discrete mechanics” as a new numerical method for nonlinear distributed parameter systems and applications to control engineering. In this research project, we have derived some new results on discrete mechanics. Especially, we have proposed a new control method based on discrete mechanics, which is totally different from the existing ones, and shown the effectiveness of the new methods via numerical simulations. Therefore, the proposed method is expected to be applicable in various situations.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (29 results)

All 2015 2014 2013 2012

All Journal Article (19 results) (of which Peer Reviewed: 18 results) Presentation (10 results)

  • [Journal Article] Gait Generation for the Compass-type Biped Robot on General Irregular Grounds via a New blending Method of Discrete Mechanics and Nonlinear Optimization2015

    • Author(s)
      Tatsuya Kai and Tomohiko Shibata
    • Journal Title

      Journal of Control, Automation and Electrical Systems

      Volume: 未定

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Modeling and Analysis of Nonholonomic Dynamic Systems with a Class of Rheonomous Affine Constraints2014

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Nonlinear Dynamics

      Volume: 76 Issue: 2 Pages: 1411-1422

    • DOI

      10.1007/s11071-013-1218-8

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A New Gait Generation Method on Slopes for the Compass-type Biped Robot via Discrete Mechanics2014

    • Author(s)
      Tatsuya Kai and Takeshi Shintani
    • Journal Title

      International Journal of Mathematical Sciences and Engineering Applications

      Volume: 8 Pages: 271-294

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Nonlinear Robust Control Approach to Stabilization of the Quantum 1/2 Spin System Represented by a Real-type Stochastic Differential Equation2014

    • Author(s)
      Tatsuya Kai and Kazuho Tamaki
    • Journal Title

      International Journal of Engineering Research and Industrial Applications

      Volume: 7 Pages: 175-185

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partial Integrability Conditions and an Integrating Algorithm for Fully Rheonomous Affine Constraints2014

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Circuits and Systems

      Volume: 5 Issue: 06 Pages: 133-144

    • DOI

      10.4236/cs.2014.56015

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Real-time Control of a 3D Space Robot with an Initial Angular Momentum2014

    • Author(s)
      Tatsuya Kai
    • Journal Title

      International Journal of Engineering Research and Industrial Applications

      Volume: 7 Pages: 137-151

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A New Discrete Mechanics Approach to Swing-up Control of the Cart-Pendulum System2014

    • Author(s)
      Tatsuya Kai and Kensuke Bito
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 19 Issue: 1 Pages: 230-244

    • DOI

      10.1016/j.cnsns.2013.05.021

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] On Integrability of Fully Rheonomous Affine Constraints2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      International Journal of Modern Nonlinear Theory and Application

      Volume: 2 Issue: 02 Pages: 130-134

    • DOI

      10.4236/ijmnta.2013.22016

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Discrete Mechanics Approach to Gait Generation on Periodically Unlevel Grounds for the Compass-type Biped Robot2013

    • Author(s)
      Tatsuya Kai and Takeshi Shintani
    • Journal Title

      International Journal of Advanced Research in Artificial Intelligence

      Volume: 2 Issue: 9 Pages: 43-51

    • DOI

      10.14569/ijarai.2013.020908

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Experimental comparison between nonholonomic and vakonomic mechanics in nonlinear constrained systems2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 4 Issue: 4 Pages: 482-499

    • DOI

      10.1587/nolta.4.482

    • NAID

      130004960154

    • ISSN
      2185-4106
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Limit Cycle Generation for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      International Journal of Advanced Computer Science and Applications

      Volume: 4 Issue: 9 Pages: 200-206

    • DOI

      10.14569/ijacsa.2013.040931

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A New Limit Cycle Generation Method and Theoretical Analysis for Multi-Modal and 2-Dimensional Piecewise Affine Systems2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      International Journal of Mathematical Sciences and Engineering Applications

      Volume: 7 Pages: 15-35

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] An Integrating Algorithm and Theoretical Analysis for Fully Rheonomous Affine Constraints: Completely Integrable Case2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Applied Mathematics

      Volume: 4 Issue: 12 Pages: 1720-1725

    • DOI

      10.4236/am.2013.412235

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Limit-Cycle-Like Control for 2-Dimensional Discrete-time Nonlinear Control Systems and Its Application to the Henon Map2013

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 18 Issue: 1 Pages: 171-183

    • DOI

      10.1016/j.cnsns.2012.06.012

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Limit-Cycle-Like Control for Planar Space Robot Models with Initial Angular Momenta2012

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Acta Astronautica,

      Volume: 74 Pages: 20-28

    • DOI

      10.1016/j.actaastro.2011.12.024

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mathematical Modelling and Theoretical Analysis of Nonholonomic Kinematic Systems with a Class of Rheonomous Affine Constraints2012

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Applied Mathematical Modelling

      Volume: 36 Issue: 7 Pages: 3189-3200

    • DOI

      10.1016/j.apm.2011.10.015

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Modeling and Passivity Analysis of Nonholonomic Hamiltonian Systems with Rheonomous Affine Constraints2012

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 17 Issue: 8 Pages: 3446-3460

    • DOI

      10.1016/j.cnsns.2011.12.019

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds - Part I : Fundamental Properties and Integrability/Nonintegrability Conditions2012

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Mathematical Problems in Engineering

      Volume: 2012 Issue: 1

    • DOI

      10.1155/2012/543098

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds - Part II : Foliation Structures and Integrating Algorithms2012

    • Author(s)
      Tatsuya Kai
    • Journal Title

      Mathematical Problems in Engineering

      Volume: 2012 Issue: 1

    • DOI

      10.1155/2012/345942

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Obstacle Avoidance Control for the Compass-type Biped Robot via Discrete Mechanics: Circular Obstacle Case2014

    • Author(s)
      Tatsuya Kai
    • Organizer
      International Symposium of Nonlinear Theory and Its Application
    • Place of Presentation
      Luzern (Switzerland)
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] A Limit Cycle Control Method for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems2014

    • Author(s)
      Tatsuya Kai
    • Organizer
      International Symposium of Nonlinear Theory and Its Application
    • Place of Presentation
      Luzern (Switzerland)
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] 分布定数力学システムに対する外力を考慮した離散力学の提案2014

    • Author(s)
      甲斐健也,高橋知彰,土田直人
    • Organizer
      第58回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 多モード2次元区分的アファインシステムに対するリミットサイクル制御2014

    • Author(s)
      甲斐 健也
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      北海道
    • Related Report
      2013 Research-status Report
  • [Presentation] 力学システムにおける離散構造 : 離散力学とその応用2014

    • Author(s)
      甲斐 健也
    • Organizer
      計測自動制御学会 第1回制御部門マルチシンポジウム
    • Place of Presentation
      東京
    • Related Report
      2013 Research-status Report
  • [Presentation] A New Limit Cycle Design Method of Multi-Modal and 2-Dimensional Piecewise Affine Systems2013

    • Author(s)
      Tatsuya Kai
    • Organizer
      6th International Conference "Advanced Computer Systems and Networks: Design and Application"
    • Place of Presentation
      Lviv (Ukraine)
    • Related Report
      2013 Research-status Report
  • [Presentation] 離散時間力学と非線形最適化の融合によるコンパス型2足歩行ロボットに対する安定歩容生成2013

    • Author(s)
      甲斐 健也
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      宮古島
    • Related Report
      2013 Research-status Report
  • [Presentation] 分布定数力学システムに対する離散力学の提案2013

    • Author(s)
      甲斐 健也,高橋 知彰
    • Organizer
      第56回自動制御連合講演会
    • Place of Presentation
      新潟
    • Related Report
      2013 Research-status Report
  • [Presentation] New Hamiltonian Formulation of Rheonomous Affine Constraints based on the Rheonomous Bracket2012

    • Author(s)
      Tatsuya Kai
    • Organizer
      2012 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Dubrovnik (Croatia)
    • Related Report
      2012 Research-status Report
  • [Presentation] Gait Generation on Periodically Unlevel Grounds for the Compass-type Biped Robot via Discrete Mechanics2012

    • Author(s)
      Tatsuya Kai and Takeshi Shintani
    • Organizer
      2012 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Dubrovnik (Croatia)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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