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Development of New Nonlinear Control Theory for Underactuated Mechanical Systems with Its Application to Robot Control

Research Project

Project/Area Number 19560452
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionOkayama Prefectural University

Principal Investigator

XIN Xin  Okayama Prefectural University, 情報工学部, 教授 (70293040)

Co-Investigator(Kenkyū-buntansha) KANEDA Masahiro  岡山県立大学, 情報工学部, 教授 (50033238)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsロボット / 非線形制御 / 劣駆動システム / エネルギー制御法 / 安定性解析 / 多自由度システム / 振り上げ制御 / 運動解析 / アクロバットロボット
Research Abstract

This research concerns a swing-up control problem for an n-link revolute planar robot with any one of the joints being a passive joint. The goal of this study is to design and analyze a swing-up controller that can bring the robot into any small neighborhood of the upright equilibrium point with all links in the upright position. First, we address how to iteratively devise two series of virtual composite links separated by the passive joint to be used for designing a coordinate transformation on the angles of all active joints. Second, we devise an energy based swing-up controller that uses a new Lyapunov function based on that transformation. Third, we analyze the global motion of the robot under the controller and establish conditions on control parameters that ensure attainment of the swing-up control objective. The results obtained not only unify some previous results for some underactuated robots with a passive first joint, but also provide insight into the energy-based control of underactuated multi-degree-of-freedom systems.

Report

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

    (32 results)

All 2009 2008 2007 Other

All Journal Article (16 results) (of which Peer Reviewed: 15 results) Presentation (13 results) Book (1 results) Remarks (2 results)

  • [Journal Article] Swing-up Control Based on Virtual Composite Links for n-Link, Underactuated Robot with Passive First2009

    • Author(s)
      Xin, X., She, J.H., Yamaski, T., Liu, Y.N.
    • Journal Title

      Joint, Automatica vol.45,no.9

      Pages: 1986-1994

    • Related Report
      2009 Final Research Report
  • [Journal Article] 1つの非駆動関節を有するn自由度ロボットの振り上げ制御:設計と解析2009

    • Author(s)
      忻, 余, 山崎
    • Journal Title

      計測自動制御学会論文集 vol.45,no.5

      Pages: 251-260

    • NAID

      10024758231

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 等価入力外乱手法に基づく制御系の解析と設計法2009

    • Author(s)
      余, 忻, 山浦
    • Journal Title

      日本機械学会論文集C編 vol.75,no.760.

      Pages: 3332-3338

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 等価入力外乱手法に基づく二連台車の位置決め制御2009

    • Author(s)
      余, 忻, 山浦
    • Journal Title

      日本機械学会論文集C編 vol.75,no.758

      Pages: 2750-2756

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Swing-up Control Based on Virtual Composite Links for n-Link Underactuated Robot with Passive First Joint(Regular Paper)2009

    • Author(s)
      X.Xin, J.H.She, T.Yamaski, Y.N.Liu
    • Journal Title

      Automatica 45

      Pages: 1986-1994

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 1つの非駆動関節を有するn自由度ロボットの振り上げ制御:設計と解析2009

    • Author(s)
      析, 余, 山崎
    • Journal Title

      計測自動制御学会論文集 45

      Pages: 251-260

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 仮想摩擦に基づくAcrobotの軌道計画2008

    • Author(s)
      余, 小林, 忻, 今津, 大山
    • Journal Title

      計測自動制御学会論文集 vol.44,no.9

      Pages: 729-734

    • NAID

      10021991075

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 仮想摩擦に基づくAcrobotの軌道計画2008

    • Author(s)
      余, 小林, 忻, 他
    • Journal Title

      計測自動制御学会論文集 53

      Pages: 729-734

    • NAID

      10021991075

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reduced-order proper H_∞ controllers for descriptor systems:Existence conditions and LMI-based design algorithms2008

    • Author(s)
      X. Xin, S. Hara, and M. Kaneda
    • Journal Title

      IEEE Transactions on Automatic Control 53(掲載決定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Swing-up control for a 3-DOF gymnastic robot with passive first joint: design and analysis2007

    • Author(s)
      Xin, X., Kaneda, M.
    • Journal Title

      IEEE Transactions on Robotics vol.23,no.6

      Pages: 1277-1285

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of the energy based swing-up control of the Acrobot2007

    • Author(s)
      Xin, X., Kaneda, M.
    • Journal Title

      International Journal of Robust and Nonlinear Control vol.17,issue16

      Pages: 1503-1524

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Estimation of equivalent input disturbance improves vehicular steering control2007

    • Author(s)
      She, J.H., Xin, X., Ohyama, Y.
    • Journal Title

      IEEE Transactions on Vehicular Technology vol.56,no.6

      Pages: 3722-3731

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Swing-up control for a 3-DOF gymnastic robot with passive first joint:Design and Analysis2007

    • Author(s)
      X. Xin(忻欣)and M. Kaneda
    • Journal Title

      IEEE Transactions on Robotics 23

      Pages: 1277-1285

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of the energy based swing-up control of the Acrobot2007

    • Author(s)
      X. Xin and M. Kaneda
    • Journal Title

      International Journal of Robust and Nonlinear Control 17

      Pages: 1503-1524

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimation of equivalent input disturbance improves vehicular steering control2007

    • Author(s)
      J. H. She, X. Xin, and Y. Ohyama
    • Journal Title

      IEEE Transactions on Vehicular Technology 56

      Pages: 1277-1285

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Swing-up Control Based on Virtual Composite Links for n-Link Underactuated Robot with Passive First Joint (Regular Paper)

    • Author(s)
      X. Xin, J. H. She, T. Yamaski, Y. N. Liu
    • Journal Title

      Automatica (採録決定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Swinging up multiple parallel pendulums on a cart via energy control2009

    • Author(s)
      X.Xin
    • Organizer
      48^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Can the energy and actuated variables of underactuated mechanical systems be controlled? --Example of the Acrobot with counterweight2009

    • Author(s)
      X.Xin, L.Guo
    • Organizer
      48^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Can the energy and actuated variables of underactuated mechanical systems be controlled? Example of the Acrobot with counterweight2009

    • Author(s)
      Xin, X., Guo, L.
    • Organizer
      Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
    • Place of Presentation
      Shanghai
    • Year and Date
      2009-11-16
    • Related Report
      2009 Final Research Report
  • [Presentation] On the energy based control for underactuated mechanical system2009

    • Author(s)
      Xin, X.
    • Organizer
      Proceedings of ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka
    • Year and Date
      2009-08-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Swing-up control for n-link planar robot with single passive joint using the notion of virtual composite links2008

    • Author(s)
      X. Xin, J. H. She, T. Yamasaki
    • Organizer
      47^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      カンクン, メキシコ
    • Year and Date
      2008-12-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Swinging up multiple parallel pendulums on a cart via energy control2008

    • Author(s)
      Xin, X.
    • Organizer
      Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
    • Place of Presentation
      Shanghai
    • Year and Date
      2008-11-18
    • Related Report
      2009 Final Research Report
  • [Presentation] Swing-up control for n-link planar robot with single passive joint using the notion of virtual composite links2008

    • Author(s)
      Xin, X., She, J.H., Yamasaki, T.
    • Organizer
      Proceedings of 47th IEEE Conference on Decision and Control
    • Place of Presentation
      Cancun(4339-4344)
    • Year and Date
      2008-11-11
    • Related Report
      2009 Final Research Report
  • [Presentation] Analysis of the energy based swing-up control for a double pendulum on a cart2008

    • Author(s)
      Xin, X.
    • Organizer
      Proceedings of 17th IFAC World Congress
    • Place of Presentation
      Seoul
    • Year and Date
      2008-07-08
    • Related Report
      2009 Final Research Report
  • [Presentation] Analysis of the energy based swing-up control for a double pendulum on a cart2008

    • Author(s)
      X. Xin
    • Organizer
      the 17th IFAC World Congress
    • Place of Presentation
      ソウル, 韓国
    • Year and Date
      2008-07-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Swing-up control based on virtually composite links for an n-link underactuated robot with passive first joint2008

    • Author(s)
      Xin, X., Kaneda, M., Yamasaki, T., She, J.H.
    • Organizer
      Proceedings of the 17th IFAC World Congress
    • Place of Presentation
      Seoul
    • Year and Date
      2008-07-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Reduced-order proper H_∞ controllers for descriptor systems:Existence conditions and LMI-based design algorithms2007

    • Author(s)
      X. Xin, S. Hara, and M. Kaneda
    • Organizer
      46th IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans
    • Year and Date
      2007-12-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Swing-up control for a 3-DOF gymnastic robot with passive first joint:Design and analysis2007

    • Author(s)
      X. Xin and M. Kaneda
    • Organizer
      46th IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans
    • Year and Date
      2007-12-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] Swing-up control for a 3-DOF gymnastic robot with passive first joint: Design and analysis2007

    • Author(s)
      Xin, X., Kaneda, M.
    • Organizer
      Proceedings of 46th IEEE Conference on Decision and Control
    • Place of Presentation
      New Orleans
    • Year and Date
      2007-11-12
    • Related Report
      2009 Final Research Report
  • [Book] Advances in Control Systems Theory and Applications(Chapter 12を執筆する, pp. 256-279)2009

    • Author(s)
      X. Xin
    • Total Pages
      375
    • Publisher
      USTC Press
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://cosmos.c.oka-pu.ac.jp/~xxin/

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://cosmos.c.oka-pu.ac.jp/~xxin/

    • Related Report
      2009 Annual Research Report

URL: 

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

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