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MOTION PLANNING PROBLEM OF NONHOLONOMIC CAR-LIKE ROBOTS BY OPTIMAL CONTROL THEORY

Research Project

Project/Area Number 08660309
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 農業機械学
Research InstitutionIWATE UNIVERSITY

Principal Investigator

TORISU Ryo  IWATE UNIVERSITY,FACULTY OF AGRICULTURE,PROFESSOR, 農学部, 教授 (70038264)

Co-Investigator(Kenkyū-buntansha) TAKEDA Junichi  IWATE UNIVERSITY,FACULTY OF AGRICULTURE,ASOCIATE PROFESSOR, 農学部, 助教授 (80133908)
IMAE Joe  IWATE UNIVERSITY,FACULTY OF ENGINEERING,ASOCIATE PROFESSOR, 工学部, 助教授 (30184807)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1997: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1996: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsnonholonomic system / tractor / mobile robot (car-like robot) / headland / auto-pilot / motion planning / optimal time control
Research Abstract

(1) OPTlMAL PATH OF HEADLAND FOR TRACTORS BY OPTIMAL CONTROL THEORY
We deal with optimal time/path problems of tractors on the head land. Firstly we show that such problems are essentialy equivalent to trajectory optimization problems of non-holonomic mobile robot. Secondary making use of Pontryagine's maximum principle we analytically exprore such optimal problems. Lastly by means of trajectory optimization techniques we computationasly solve the optimal time/path problems of tractors on the headland.
(2) A NONLINEAR FEEDBACK CONTROLLER FOR THE AUTO-COUPLING OF TRACTOR-IMPLEMENT SYSTEMS
Based on the two-degree-of-freedom tecnique, we design nonlinear feedback controllers for the backward maneuvering of tractors. First, using nolinear optimal control algorithms we obtained reference trajectories in advance by off-line calculations. Next, using the LQ optimal control tecnique, we construct linear feedback controllers which let the tractor to asymtotically convege to one of such trajectorie … More s, we propose the nonlinear feedbak controllers, which are applicable to the control of robust bacward maneuvering of tractors.
(3) A FEEDBACK CONTROL DESIGN FOR CONSTRAINED NONHOLONOMIC SYSTEMS
We present a time-varing feedback controller for constrained nonholonomic systems, Which consists of feedforward and feedback controllers. Our approach is mainly based on two-degree-freedom (2-DOF) tecniques for nonlinear systems. First, we obtain the numerical solutions for ceartain nonlinear optimal control problems with state-constraints throuh off-line calculations. Then, we construct the feedforward controller with the help of such optimal solutions. Next, we construct the linear time-invariant feedback controller by making use of the regulator theory on associated linearized systems. Combining such two controllers and introducing simple scheme on how to avoid the obstacles, the 2-DOF based time varing feedback controller is proposed. Lastly, we demonstrate by some numerical simulations the practicability of the proposed controller. Less

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (15 results)

All Other

All Publications (15 results)

  • [Publications] 鳥巣・田中・武田: "微分幾何学的アプローチによる枕地の最短旋回軌道" 農業機械学会東北支部報. 第43号. 15-20 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 鳥巣・田中・井前・石川: "最適制御理論による枕地最短旋回時間問題(第1報)" 農業機械学会誌. 59・4. 3-10 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 鳥巣・田中・井前: "最適制御理論による枕地最短旋回時間問題(第2報)" 農業機械学会誌. 60(審査済み). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 井前・結城・鳥巣: "トラクタ作業機系の自動装着のための誘導装置設計" 日本シミュレーション学会誌. (審査済み). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 井前・森・鳥巣: "障害物のある非ホロノミックシステムのフィードバック制御系設計" システム制御情報学会論文誌. (審査済み). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] TORISU,TANAKA,IMAE AND ISHIKAWA: "Optimal Path of Headland for Tractors by Optimal control Theory (Part 1) -Formulation of Optimal Contol Problems and Forward Maneuver of tractors-" J.of the JAPANESE SOCIETY of AGRICULTURAL MACHINERY. 59(4). 3-10 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] TORISU,TANAKA and IMAE: "Otimal Path of Headland for Tractors by Optimal control Theory (Part 2) -Combination of Forward and Bacward Maneuvers-" J.of the JAPANESE SOCIETY of AGRICULTURAL MACHINERY. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] IMAE,YUUKI and TORISU: "A Nonlinear Feedback Controller for Auto-copling of Tractor-trailer Systems" J.of the JAPAN SOCIETY for Simulation Technology. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] IMAE,MORI and TORISU: "A Feedbak Control Design for Constrained Nonholonomic Systems" Trans.of the Institute of System, Control and Information Engineers. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 鳥巣・田中・井前・石川: "最適制御理論による枕地最短旋回時間問題(第1報)" 農業機械学会誌. 59・4. 3-10 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 鳥巣・田中・井前: "最適制御理論による枕地最短旋回時間問題(第2報)" 農業機械学会誌(審査済み). 60. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 井前・結城・鳥巣: "トラクタ作業機系の自動装着のための誘導装置設計" 日本シミュレーション学会誌(審査済み). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 井前・森・鳥巣: "障害物のある非ホロノミックシステムのフィードバック制御系設計" システム制御情報学会論文誌(審査済み). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 鳥巣・田中・武田: "微分幾何的アプローチによる枕地の最短旋回軌道" 農機学会東北支部報. 43. 15-20 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 鳥巣・中坪・井前: "トラクタの最短時間制御問題(第1報)" 農業機械学会誌. 58・5. 5-12 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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