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Optimal Hybrid Motion / Force Control for Flexible Robots

Research Project

Project/Area Number 62550308
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionOsaka University, Faculty of Engineering Science

Principal Investigator

SAKAWA Yoshiyuki  Osaka University, Faculty of Engineering Science, Professor, 基礎工学部, 教授 (10029374)

Co-Investigator(Kenkyū-buntansha) 西 義和  川崎重工技術開発本部, 研究員
MATSUNO Fumitoshi  Osaka University, Faculty of Engineering Science, Research Assistant, 基礎工学部, 助手 (00190489)
NISHI Yoshikazu  Kawasaki Heavy Industries, LTD.
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1988: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1987: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsRobot / Flexible Arm / Hybrid Control / Distributed Parameter Systems / Spring Model / 曲げ・ねじり結合振動 / 柔軟構造物 / 分布定数系 / 軟柔アーム / 加速度計 / 最適制御
Research Abstract

1. When flexible robot arms make motion, various types of vibrations occur. For suppressing the undesirable vibrations, it is necessary tp derive a dynamical model of vibrations and to obtain a control law based on the model. We first considered the case where the final link of parallel drive manipulator of three degrees of freedom has distributed flexibility. The bending vibrations are described by partial differential equations, and the control law of the joint angles has been derived such that the hand position is controlled to a prescribed position and at the same time the vibrations are stabilized.
2. We proposed a simpler model of the flexible manipulator by introducing a set of equivalent springs which represent all the flexibilities of manipulator. By providing accelerometers attached to the end-effector, it is possible to measure the vibration. On the basis of the dynamic equations due to the spring model, the control law has been derived. It is shown that the input-output stability is ensured for the trajectory control of the flexible manipulator. The experimental results prove that the control law derived by the spring model works well for stabilizing the vibrations.
3. When a tip-body of a flexible beam is a rigid body and the center of mass of the tip-body is not on the centroidal axis, not only bending vibration but also torsional vibration occurs. We described the coupled bending and torsional vibrations by an evolution equation in a Hilbert space. The evolution equation was then approximated by a finite-dimensional system, and we obtained the control law which suppresses the coupled bending and torsional vibrations. We also confirmed by the experiment that the coupled vibrations can be suppressed well by controlling the angular acceleration of the drive motor.

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] 坂和愛幸: Recent Advances in Communication and Control Theory. 239-261 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 松野文俊: Int.Jour.of Robotics Research. 6. 76-84 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 坂和愛幸: 日本ロボット学会誌. 6. 42-51 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 佐藤公紀: Int.J.Control. 48. 2085-2105 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 坂和愛幸: IEEE Transactions on Automatic Control. 34. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 羅正華: Proc.of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 坂和愛幸: Proc.of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Y. Sakawa: "Vibration control of a flexible manipulator with three degrees of freedom" Recent Advances in Communication and Control Theory. 239-261 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] F. Matsuno: "Feedback control of a flexible manipulator with a parallel drive mechanism" International Journal of Robotics Research. 6. 76-84 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Y. Sakawa: "Modeling and vibration control of a flexible manipulator with three axes by using accelerometers" Journal of Robotics Society of Japan. 6. 42-51 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] K. Sato: "Modelling and control of a flexible rotary crane" International Journal of Control. 48. 2085-2105 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Y. Sakawa: "Modeling and control of coupled bending and torsional vibrations of flexible beams" IEEE Transactions on Automatic Control. 34. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] H. Luo: "Experimental study on feedback control of coupled bending and torsional vibrations of flexible beams" Proc. of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Y. Sakawa: "Modeling and control of a flexible orbiting spacecraft" Proc. of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 坂和愛幸: 日本ロボット学会誌. 6. 42-51 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] K.Sato: Int.J.Control. 48. 2085-2105 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Y.Sakawa: IEEE Transactions on Automatic Control. 34. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Z.H.Luo: Proc.of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Y.Sakawa: Proc.of the 5th IFAC Symposium on Control of Distributed Parameter Systems. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] Y. Sakawa: Recent Advances in Communication and Control Theory, Eds. R. E. Kalman et al.239-261 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] F. Matsuno: International Jour. of Robotics Research. 6. 76-84 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 宇野智之: 電気学会論文誌. 107-D. 1018-1025 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 坂和愛幸: 日本ロボット学会誌. 61. 42-51 (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] K. Sato: Int. J. Control,. 48. (1988)

    • Related Report
      1987 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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