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Theoretic and Experimental Research on The Nonlinear Control of Nonlinearly Actuated Systems and The Steering of Mobile Robots

Research Project

Project/Area Number 14350224
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

LIU Kang-zhi  Chiba University, Dept.of Electronics and Mechanical Eng., Associate Professor, 工学部, 助教授 (70240413)

Co-Investigator(Kenkyū-buntansha) OGATA Akihiro  Chiba University, Dept.of Electronics and Mechanical Eng., Research Associate, 工学部, 助手 (70312931)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥11,500,000 (Direct Cost: ¥11,500,000)
Fiscal Year 2004: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2003: ¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2002: ¥4,600,000 (Direct Cost: ¥4,600,000)
KeywordsSteering control of mobile robots / Chained systems / Automatic parking systems / Parking algorithms with constraints / Electromagnetic actuator / Nonlinear dynamic output feedback control / Low bias magnetic bearing control / Vibration modes and time-varying parameter / 時変パラメータ / 弾性振動モード / 多自由度非線形駆動系 / 非線形出力フィードバック / 操舵角制限 / 駐車空間制約 / 自動駐車アルゴリズム / 非線形駆動系 / 非線形出力フィードバック制御 / 円軌道族 / 切り替え制御 / 大域的漸近安定 / 磁気アクチュエータ / 移動体のステアリング / 非ホロノミック制御 / 大域的指数収束
Research Abstract

This research aims at developing practical nonlinear control methods for nonlinearly actuated systems and the steering of mobile robots. The corresponding control system packages are also developed. The obtained results are listed below :
1.A switching control algorithm has been proposed for chained systems, a general class of mobile robots. This method guarantees the global exponential convergence and has a distinctive feature that it can be applied to the steering control of mobile robots with physical constraints such as space constraint and steering angle limitation.
2.A realistic automatic parking system has been developed based on the above algorithm, which is able to handle parking tasks subject to garage constraint and steering angle limitation. Its high applicability has been validated by numerous experiments. Further, in order to achieve parking task more efficiently various parking algorithms have been established via the introduction of auxiliary parking destinations.
3.As an … More alternate for automatic parking control, another method has been proposed based on the idea of tracking of a cycle family. Its effectiveness has also been verified by experiments.
4.A nonlinear dynamic output feedback control method using low bias has been established for electromagnetic bearing systems, a typical nonlinearly actuated system. By the use of this method, the bias current is reduced dramatically.
5.Moreover, this dynamic output feedback control method is extended to handle plants with time-varying rotation speed and flexibility.
6.As a dual problem, the control of nonlinear systems driven by linear actuators has also been studied. A quantitative analysis has been conducted to answer the question that how fast should the linear actuator be in order to ensure the stability of the whole system.
We have also succeeded in the motion control of a unicycle robot and the high speed nonlinear control of a rotary crane. Further, new knowledge have been obtained on the model reduction of H2 controllers, adaptive control of motor-driven systems and new derivation of H_∞ control solution. As a result, the objective of this research has been achieved. Less

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report

Research Products

(57 results)

All 2005 2004 2003 2002 Other

All Journal Article (40 results) Book (4 results) Publications (13 results)

  • [Journal Article] A Nonlinear output Feedback Control Method for 5DOF Active Magnetic Bearing System2005

    • Author(s)
      R.He, K.Z.Liu
    • Journal Title

      計測自動制御学会論文集 41

      Pages: 216-225

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] H2制御コントローラの低次元化-走行クレーンの振れ止め制御への適用-2005

    • Author(s)
      小谷斉之, 大内茂人, 穴吹雅敏, 劉康志
    • Journal Title

      計測自動制御学会論文集 41(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Nonlinear Output Feedback Control of A 5DOF AMB System2005

    • Author(s)
      R.He, K.Z.Liu, O.Saito
    • Journal Title

      Proc.of IFAC World Conference 2005 (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Nonlinear Output Feedback Control Method for 5DOF Active Magnetic Bearing System2005

    • Author(s)
      R.He, K.Z.Liu
    • Journal Title

      Trans.of SICE vol.41

      Pages: 216-225

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Design of reduced order H2 controller-Application to anti-sway control of a hanging crane-2005

    • Author(s)
      N.Kodani, S.Ouchi, M.Anabuki, K.Z.Liu
    • Journal Title

      Trans.of SICE vol.41(printing)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Nonlinear Output Feedback Control of A 5DOF AMB System2005

    • Author(s)
      R.He, K.Z.Liu, O.Saito
    • Journal Title

      Proc.of IFAC'2005 (printing)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Nonlinear Output Feedback Control Method for 5DOF Active Magnetic Bearing System2005

    • Author(s)
      R.He, K.Z.Liu
    • Journal Title

      計測自動制御学会論文集 41・3

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Nonlinear Output Feedback Control of A 5DOF AMB System2005

    • Author(s)
      R.He, K.Z.Liu, O.Saito
    • Journal Title

      Proc.of IFAC World Conference 2005

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 4輪車自動駐車システムの開発-理論と実験-2004

    • Author(s)
      ダオ ミンクァン, 劉康志, 大形明弘
    • Journal Title

      計測自動制御学会論文集 40

      Pages: 1211-1219

    • NAID

      10014239156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory and Experiments on Automatic Parking Systems2004

    • Author(s)
      K.Z.Liu, M.Q.Dao, T.Inoue
    • Journal Title

      Proc.of the 8^<th> International Conference on Control, Automation, Robotics and Vision

      Pages: 861-866

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Development of Auto-Parking Systems for 4-Wheeled Automobiles : Theory and Experiments2004

    • Author(s)
      M.Q.Dao, K.Z.Liu, A.Ogata
    • Journal Title

      Proc.of IFAC NOLCOS 2004

      Pages: 1223-1228

    • NAID

      10014239156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Output control method for an AMB system with time-varying rotational speed and flexible rotor2004

    • Author(s)
      R.He, K.Z.Liu
    • Journal Title

      Proc.of 33^<rd> SICE Symposium on Control Theory

      Pages: 45-50

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Development of a parking system for 4-wheeled cars-Theory and experiments-2004

    • Author(s)
      M.Q.Dao, K.Z.Liu, A.Ogata
    • Journal Title

      Trans.of SICE vol.40

      Pages: 1211-1219

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Theory and Experiments on Automatic Parking Systems2004

    • Author(s)
      K.Z.Liu, M.Q.Dao, T.Inoue
    • Journal Title

      Proc.of the 8^<th> ICARCV

      Pages: 861-866

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Development of Auto-Parking Systems for 4-Wheeled Automobiles : Theory and Experiments2004

    • Author(s)
      M.Q.Dao, K.Z.Liu, A.Ogata
    • Journal Title

      Proc.of IFAC NOLCOS'2004

      Pages: 1223-1228

    • NAID

      10014239156

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Output control method for an AMB system with time-varying rotational speed and flexible rotor2004

    • Author(s)
      R.He, K.Z.Liu
    • Journal Title

      Proc.of 33^<rd> SICE CST

      Pages: 45-50

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 4輪車自動駐車システムの開発-理論と実験-2004

    • Author(s)
      ダオ ミンクァン, 劉康志, 大形明弘
    • Journal Title

      計測自動制御学会論文集 40・12

      Pages: 1211-1219

    • NAID

      10014239156

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Development of An Auto-Parking System with Physical Limitations2004

    • Author(s)
      T.Inoue, M.Q.Dao, K.Z.Liu
    • Journal Title

      Proc.of SICE Annual Conference 2004

      Pages: 1015-1020

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stability analysis for nonlinear feedback control systems with linear actuator2003

    • Author(s)
      J.Fang, G.Gu, K.Z.Liu
    • Journal Title

      IEEE Trans.on Automatic Control 48

      Pages: 649-654

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Velocity Control of 2-Mass-Spring Systems with Large Load Uncertainty -- An Adaptive Backstepping Control Approach --2003

    • Author(s)
      K.Z.Liu, S.Namiki, H.Ishii
    • Journal Title

      Proc.of the 42^<nd> IEEE Conference on Decision and Control

      Pages: 3948-3953

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A piecewise smooth switching control algorithm for chained systems2003

    • Author(s)
      K.Z.Liu
    • Journal Title

      Proc.of IEEE Conference on Control Applications (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear output feedback control method for magnetic bearing systems2003

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Proc.of European Control Conference (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear output feedback control method for magnetic bearing systems2003

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Proc.of IEEE Conference on Control Applications (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stability analysis for nonlinear feedback control systems with linear actuator2003

    • Author(s)
      J.Fang, G.Gu, K.Z.Liu
    • Journal Title

      IEEE Trans.on AC vol.48

      Pages: 649-654

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Velocity Control of 2-Mass-Spring Systems with Large Load Uncertainty-An Adaptive Backstepping Control Approach-2003

    • Author(s)
      K.Z.Liu, S.Namiki, H.Ishii
    • Journal Title

      Proc.of the 42^<nd> IEEE CDC

      Pages: 3948-3953

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear output feedback control method for magnetic bearing systems2003

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Proc.of ECC'2003 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A piecewise smooth switching control algorithm for chained systems2003

    • Author(s)
      K.Z.Liu
    • Journal Title

      Proc.of ECC'2003 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear output feedback control method for magnetic bearing systems2003

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Proc.of IEEE CCA'2003 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear control approach for rotary cranes2002

    • Author(s)
      K.Z.Liu, S.Ouchi, N.Yamamoto
    • Journal Title

      Proc.of 2002 Asian Control Conference

      Pages: 687-692

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Piecewise smooth switching control algorithms for chained systems2002

    • Author(s)
      K.Z.Liu
    • Journal Title

      Proc.of 2002 Asian Control Conference

      Pages: 1064-1069

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear switching control method for magnetic bearing systems2002

    • Author(s)
      K.Z.Liu, A.Ikai, A.Ogata
    • Journal Title

      Proc.of 2002 IFAC World Conference (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear control approach for rotary cranes2002

    • Author(s)
      K.Z.Liu.S.Ouchi, N.Yamamoto
    • Journal Title

      Proc.of ASCC'2002

      Pages: 687-692

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Piecewise smooth switching control algorithms for chained Systems2002

    • Author(s)
      K.Z.Liu
    • Journal Title

      Proc.of ASCC'2002

      Pages: 1064-1069

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A nonlinear switching control method for magnetic bearing systems2002

    • Author(s)
      K.Z.Liu, A.Ikai, A.Ogata
    • Journal Title

      Proc.of IFAC'2002 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An exponentially convergent control algorithm for chained systems and its application to automatic parking system

    • Author(s)
      K.Z.Liu, M.Q.Dao, T.Inoue
    • Journal Title

      IEEE Trans.On Control Systems Technology (投稿中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Modeling and gain-scheduled stabilization control of a unicycle robot

    • Author(s)
      M.Q.Dao, K.Z.Liu
    • Journal Title

      JSME International Journal (投稿中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Simple Derivation of ARE Solutions to The Standard H∞ Control Problem Based on LMI Solution

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Systems & Control letters (投稿中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An exponentially convergent control algorithm for chained systems and its application to automatic parking system

    • Author(s)
      K.Z.Liu, M.Q.Dao, T.Inou
    • Journal Title

      IEEE Trans.on CST (submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Modeling and gain-scheduled stabilization control of a unicycle robot

    • Author(s)
      M.Q.Dao, K.Z.Liu
    • Journal Title

      JSME International Journal (submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Simple Derivation of ARE Solutions to The Standard H∞ Control Problem Based on LMI Solution

    • Author(s)
      K.Z.Liu, R.He
    • Journal Title

      Systems & Control letters (submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 現代制御理論通論2005

    • Author(s)
      劉 康志, 申 鉄竜
    • Total Pages
      250
    • Publisher
      培風館(出版予定)
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Book] An introduction to modern control theory2005

    • Author(s)
      K.Z.Liu, T.Shen
    • Publisher
      Baifu-Kan(to be published)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] 現代ロバスト制御理論と応用2003

    • Author(s)
      梅生偉, 申鉄龍, 劉康志
    • Total Pages
      292
    • Publisher
      清華大学出版社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Book] Modern robust control theory and application2003

    • Author(s)
      S.Mei, T.Shen, K.Z.Liu
    • Total Pages
      292
    • Publisher
      Tsinghua Press
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] K.Z.Liu, R.He: "A Simple Derivation of ARE Solutions to The Standard H∞ Control Problem Based on LMI Solution"Proc. Of the 42^<nd> IEEE Conference on Decision and Control. 1723-1728 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Z.Liu, S.Namiki, H.Ishii: "Velocity Control of 2-Mass-Spring Systems with Large Load Uncertainty -- An Adaptive Backstepping Control Approach --"Proc. Of the 42^<nd> IEEE Conference on Decision and Control. 3948-3953 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] A.Ogata, Y.Tashiro, K.Z.Liu, O.Saito: "A new method to design discontinuous stabilizing controllers for chained systems"Proc. Of the 42^<nd> IEEE Conference on Decision and Control. 5679-5684 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Z.Liu, R.He: "A Nonlinear Output Feedback Control Method for Magnetic Bearing Systems"Proc. of European Control Conference 2003. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Z.Liu: "A Piecewise Smooth Switching Control Algorithm for Chained Systems"Proc. of European Control Conference 2003. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Z.Liu, R.He: "A Nonlinear Output Feedback Control Method for Magnetic Bearing Systems"Proc. of 2003 IEEE Conference on Control Applications. (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 梅生偉, 申鉄龍, 劉康志: "現代ロバスト制御理論と応用"清華大学出版社(中国). 292 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Fang, Q.Gu, K.Z.Liu: "Stability analysis for nonlinear feedback control systems with linear actuator"IEEE Trans.on Automatic Control. 48・4(印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Z.Liu, S.Ouchi, N.Yamamoto: "A nonlinear control approach for rotary cranes"Proc.of 2002 Asian Control Conference (Singapore). 678-692 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Z.Liu: "Piecewise smooth switching control algorithms for chained systems"Proc.of 2002 Asian Control Conference (Singapore). 1064-1069 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Z.Liu: "A nonlinear output feedback control method for magnetic bearing systems"Proc.of 2003 IEEE Conference on Control Applications (Istanbul). (Accepted). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Z.Liu, A.Ikai, A.Ogata: "A nonlinear switching control method for magnetic bearing systems"Proc.of 2002 IFAC World Conference (Barcelona). (CD-ROM). (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 梅生偉, 申鉄龍, 劉康志: "現代ロバスト制御理論"清華大学出版社(中国)(印刷中). (2003)

    • Related Report
      2002 Annual Research Report

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Published: 2002-03-31   Modified: 2016-04-21  

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