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2013 Fiscal Year Final Research Report

New Development and Systematization of Nonlinear Control Theory for Underactuated Systems

Research Project

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Project/Area Number 22560452
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  岡山県立大学, 情報工学部, 教授 (70293040)

Project Period (FY) 2010-04-01 – 2014-03-31
Keywords劣駆動システム / ロボット / 非線形制御 / エネルギー制御法 / 振り上げ制御 / 安定性解析 / 運動解析
Research Abstract

This research aims to challenge the following key problems for control design and analysis for underactuated systems: trajectory control for systems with underactuation degree (the difference between the numbers of its control input and degrees of freedom of the system) one, swing-up and stabilizing control for underactuation degree two, strong stabilizing control for underactuated systems. For seven systems with 2 degrees of freedom and five systems with higher degrees of freedom, by using the fundamental physical properties inhibited in these systems, this research presents refined solutions to the above key control problems. The achieved results have been published in 11 authoritative academic journal papers, 1 monograph of Springer, and 21 refereed internal conference papers. This research made an important contribution to new development to the nonlinear control theory for underactuated robotic systems.

  • Research Products

    (35 results)

All 2014 2013 2012 2011 2010 2009 Other

All Journal Article (11 results) Presentation (21 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Trajectory tracking control of variable length pendulum by partial energy shaping2014

    • Author(s)
      X. Xin, Y. Liu
    • Journal Title

      Communications in Nonlinear Science and Numerical Simulation

      Volume: 19(SCI paper) Pages: 1544-1556

  • [Journal Article] New analytical results of energy-based swing-up control for the Pendubot2013

    • Author(s)
      X. Xin, S. Tanaka, J.H. She, T. Yamasaki
    • Journal Title

      International Journal of Non-Linear Mechanics 52

      Volume: (SCI paper) Pages: 110-118

  • [Journal Article] On simultaneous control of the energy and actuated variables of underactuated mechanical systems -example of the Acrobot with counterweight-2013

    • Author(s)
      X. Xin
    • Journal Title

      Advanced Robotics

      Volume: 27(SCI paper) Pages: 959-969

  • [Journal Article] Reduced-order stable controllers for two-link underactuated planar robots2013

    • Author(s)
      X. Xin, Y. Liu
    • Journal Title

      Automatica 49

      Volume: (SCI paper) Pages: 2176-2183

  • [Journal Article] A set-point control for a two-link underactuated robot with a flexible elbow joint2013

    • Author(s)
      X. Xin, Y. Liu
    • Journal Title

      Transactions of the ASME -Journal of Dynamic Systems, Measurement, and Control 135

      Volume: (SCI paper) Pages: 10

  • [Journal Article] A unified solution to swing-up control for n-link planar robot with single passive joint based on virtual composite links and passivity2012

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

      Nonlinear Dynamics 67

      Volume: (SCI paper) Pages: 909-923

  • [Journal Article] Energy-based swing-up control for a remotely driven acrobot : Theoretical and experimental results2012

    • Author(s)
      X. Xin, T. Yamasaki
    • Journal Title

      IEEE Transactions on Control Systems Technology 20

      Volume: (SCI paper) Pages: 1048-1056

  • [Journal Article] Analysis of the energy-based swing-up control for the double pendulum on a cart2011

    • Author(s)
      X. Xin
    • Journal Title

      International Journal of Robust and Nonlinear Control 21

      Volume: (SCI paper) Pages: 387-403

  • [Journal Article] New results of energy-based swing-up control for a rotational pendulum2011

    • Author(s)
      S. Tanaka, X. Xin, T. Yamasaki
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration 4

      Pages: 394-400

  • [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)
      忻欣,余錦華,山崎大河
    • Journal Title

      計測自動制御学会論文集45

      Pages: 251-260

  • [Journal Article] Swing-up control based on virtual composite links for n-link underactuated robot with passive first joint2009

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

      Automatica 45

      Volume: (Regular paper) (SCI paper) Pages: 1986-1994

  • [Presentation] On n-Link planar revolute robot : Motion equations and new properties2014

    • Author(s)
      Yannian Liu, Xin Xin, Jinglong Wu
    • Organizer
      Proceedings of the 11th World Congress on Intelligent Control and Automation
    • Place of Presentation
      Shenyang, China
    • Year and Date
      20140000
  • [Presentation] Simultaneous control of energy and actuated variable of 3-Link planar robot with underactuation degree two and its application2014

    • Author(s)
      Y. Liu, X. Xin, M. Yamakita
    • Organizer
      Proceedings of the 33rd Chinese Control Conference
    • Place of Presentation
      Nanjing, China
    • Year and Date
      20140000
  • [Presentation] D esign and analysis of energy-based controller for 3-Link robots with a single actuator2014

    • Author(s)
      X. Xin, Y. Liu, C. Sun
    • Organizer
      Proceedings of the 19th IFAC World Congress
    • Place of Presentation
      Cape Town, South Africa
    • Year and Date
      20140000
  • [Presentation] Reduced-order stable stabilizing controllers for remotely driven acrobot : Existence and design method2013

    • Author(s)
      X. Xin, Y. Liu
    • Organizer
      Proceedings of the 2013 10th IEEE International Conference on Control and Automation
    • Place of Presentation
      Hangzhou, China(1627–1632)
    • Year and Date
      20130000
  • [Presentation] Global stabilization control for a two-link underactuated robot with a flexible elbow joint2013

    • Author(s)
      X. Xin, Y. Liu, J. Wu
    • Organizer
      Proceedings of the 32nd Chinese Control Conference
    • Place of Presentation
      Xi'an, China(1520-1525)
    • Year and Date
      20130000
  • [Presentation] Analysis of the simultaneous control of energy and actuated variable of TORA with pendulum2013

    • Author(s)
      K. Sumida, X. Xin
    • Organizer
      Proceedings of 2013 IEEE International Conference on Mechatronics and Automation
    • Place of Presentation
      Takamatsu, Japan(1267-1272)
    • Year and Date
      20130000
  • [Presentation] Studies on stable stabilizing controllers for a rotational pendulum2013

    • Author(s)
      S.Tanaka, X. Xin, T. Yamasaki
    • Organizer
      Proceedings of the 15th IASTED International Conference on Control and Applications
    • Place of Presentation
      Oahu, Hawaii, USA(85-91)
    • Year and Date
      20130000
  • [Presentation] Existence and design of strongly stabilizing controller for the Acrobot2012

    • Author(s)
      X. Xin, K. Juuri
    • Organizer
      Proceedings of the 31st Chinese Control Conference
    • Place of Presentation
      Hefei, China(1446-1451)
    • Year and Date
      20120000
  • [Presentation] Experimental verification of energy-based swing-up control for a rotational pendulum2012

    • Author(s)
      S. Tanaka, X. Xin, T. Yamasaki
    • Organizer
      Proceedings of SICE Annul Conference 2012
    • Place of Presentation
      Akita, Japan(534-539)
    • Year and Date
      20120000
  • [Presentation] Existence and design of a strongly stabilizing controller for the Pendubot2012

    • Author(s)
      X. Xin, K. Juuri
    • Organizer
      Proceedings of SICE Annul Conference 2012
    • Place of Presentation
      Akita, Japan(1598-1602)
    • Year and Date
      20120000
  • [Presentation] Existence and design of reduced-order stable controllers for two-link underactuated planar robots2012

    • Author(s)
      X. Xin, K. Juuri, Y. Liu, C.Y. Sun
    • Organizer
      Proceedings of the 51st IEEE Conference on Decision and Control
    • Place of Presentation
      Maui, USA(4971-4976)
    • Year and Date
      20120000
  • [Presentation] Swing-up and stabilizing control for two-link underactuated robot with flexible elbow joint2011

    • Author(s)
      X. Xin
    • Organizer
      Proceedings of the 30th Chinese Control Conference
    • Place of Presentation
      Yantai, China(6127-6132)
    • Year and Date
      20110000
  • [Presentation] New results of energy-based swing-up control for rotational pendulum2011

    • Author(s)
      S. Tanaka, X. Xin, T. Yamasaki
    • Organizer
      Proceedings of the 18th IFAC World Congress
    • Place of Presentation
      Milano, Italy(10673-10678)
    • Year and Date
      20110000
  • [Presentation] Trajectory tracking control of pendulum with variable length by partial energy shaping2011

    • Author(s)
      X. Xin, T. Shinji, T. Yamasaki, C.Y. Sun
    • Organizer
      Proceedings of the 18th IFAC World Congress
    • Place of Presentation
      Milano, Italy(10679-10684)
    • Year and Date
      20110000
  • [Presentation] Set-point control for folded posture of 3-link underactuated gymnastic planar robot : Beyond the swing-up control2011

    • Author(s)
      X. Xin, Y. Liu, J. H. She, L. Guo
    • Organizer
      Proceedings of the 18th IFAC World Congress
    • Place of Presentation
      Milano, Italy(11875-11880)
    • Year and Date
      20110000
  • [Presentation] Swing-up control for a two-link underactuated robot with a flexible elbow joint : New results beyond the passive elbow joint2011

    • Author(s)
      X. Xin
    • Organizer
      Proceedings of 2011 50th IEEE Conference on Decision and Control and European Control Conference
    • Place of Presentation
      Orlando, USA(2481-2486)
    • Year and Date
      20110000
  • [Presentation] A rewinding approach to motion planning for acrobat based on virtual friction2010

    • Author(s)
      J.H. She, X.Z. Lai, X. Xin, L.L. Guo
    • Organizer
      Proceedings of 2010 IEEE International Conference on Industrial Technology
    • Place of Presentation
      Viña del Mar, Chile(471-476)
    • Year and Date
      20100000
  • [Presentation] Revisiting energy-based swing-up control for the Pendubot2010

    • Author(s)
      X. Xin, S. Tanaka, J.H. She, T. Yamasaki
    • Organizer
      Proceedings of 2010 IEEE International Conference on Control Applications
    • Place of Presentation
      Yokohama, Japan(1576-1581)
    • Year and Date
      20100000
  • [Presentation] On the energy based control for underactuated mechanical systems2009

    • Author(s)
      X. Xin
    • Organizer
      Proceedings of ICROS-SICE International Joint Conference 2009
    • Place of Presentation
      Fukuoka, Japan(1465-1470)
    • Year and Date
      20090000
  • [Presentation] Can the energy and actuated variables of underactuated mechanical systems be controlled?–Example of the Acrobot with counterweight-2009

    • Author(s)
      X. Xin, L. Guo
    • Organizer
      Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
    • Place of Presentation
      Shanghai, China(1962-1967)
    • Year and Date
      20090000
  • [Presentation] Swinging up multiple parallel pendulums on a cart via energy control2009

    • Author(s)
      X. Xin
    • Organizer
      Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
    • Place of Presentation
      Shanghai, China(7351-7356)
    • Year and Date
      20090000
  • [Book] Control Design and Analysis for Underactuated Robotic Systems2014

    • Author(s)
      X. Xin, Y. Liu
    • Total Pages
      319
    • Publisher
      Springer
  • [Book] Energy-based control for underactuated mechanical systems, A Chapter in Theory and Applications of Complex Systems and Robust Control (editors by J. Huang, K.Z. Liu, and Y. Ohta)2010

    • Author(s)
      X. Xin
    • Total Pages
      177-190
    • Publisher
      Tsinghua University Press
  • [Remarks]

    • URL

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

URL: 

Published: 2015-07-16  

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