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Nonlinear Control of Zero Power Magnetic Bearing Using Exact Linearization and Sliding Mode Control

Research Project

Project/Area Number 11650242
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

NONAMI Kenzo  Chiba University, Faculty of Eng., Professor, 工学部, 教授 (30143259)

Co-Investigator(Kenkyū-buntansha) HIRATA Mitsuo  Chiba University, Faculty of Eng., Research Assos., 工学部, 助手 (50282447)
NISHIMURA Hidekazu  Chiba University, Faculty of Eng., Asso.Professor, 工学部, 助教授 (70228229)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsMagnetic Bearing / Zero Power Control / Nonlinear Control / Sliding Mode Control / Exact Linearlization / Lyapunov Stability Theory / Lyapunov' Direct Method / Backstepping Method / 大域的漸近安定
Research Abstract

The proposed nonlinear control system is applied to the actual test rig which is some kind of energy storage flywheel system with 4 DOF, and the performance of a zero power control for magnetic bearing system is verified. It is clarified through the simulations and experiments that the proposed nonlinear control in this research project is a very useful strategy to realize a zero power control of magnetic bearing system. Also, this proposed control strategy will be very powerful to stabilize for big deviations from the equilibrium point because of nonlinear control. Also, the proposed zero power nonlinear control has a strong robustness against the parameter changes and the big disturbances like a unbalance vibration. The nonlinear control system is designed based on Lyapunov's direct method. The electromagnets are switched by the nonlinear algorithm depending on the displacement and the velocity of a rotor. The most remarkable feature of this proposed control system is not complicated but simple for design procedure because each control system is equivalent to a single-degree of freedom vibration system which has only two parameters as to a damping factor and natural frequency.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] S.Sivrioglu,野波健蔵: "ジャイロロータ・磁気軸受系のゲインスケジュール型スライディングモード制御"日本機械学会論文集,C編. 65. 2665-2671 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Ariga,K.Nonami: "Nonlinear Control of Zero Power Magnetic Bearing Using Lyapunov's Direct Methel"Proceedings of the 7th Magnetic Bearings. 293-298 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 有我祐一,野波健蔵: "電力貯蔵フライホイールの非線形ゼロパワー制御"日本AEM学会. 8. 403-410 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 有我祐一,野波健蔵: "ゼロパワー磁気軸受系の非線型制御(第1報 制御アルゴリズムの提案)"日本機械学会論文集,C編. 67. 392-400 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 有我祐一,野波健蔵: "ゼロパワー磁気軸受系の非線型制御(第2報 実験的検証)"日本機械学会論文集,C編. 67. 401-406 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 有我祐一,野波健蔵: "渦電流効果を有する磁気軸受のモデリングとセンサレスHos制御"日本機械学会論文集,C編. 65. 4012-4018 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kenzo Nonami et.al,: "Variable Structure Systems, Sliding Mode and Nonlinear Control"Springer-Verlag,UK. 210 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Selim SIVRIOGLU and Kenzo NONAMI: "Gain Scheduled Sliding Mode Control of Active Magnetic Bearing System with Gyroscopic Rotor"Trans.Japan Society of Mech.Eng.. 65(635). 2665-2671 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kenzo NONAMI and Shuich HIRASAWA: "Sliding Mode Positioning Control of Single Link Flexible Arm Using H-infinity Control Hyperplane with Q Parametrization"JSME International Journal. 42(2). 350-356 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kenzo Nonami and Selim Sivrioglu: "Sliding Mode Control with Gain Scheduled Hyperplane for LPV Plane"Variable Structure Systems, Sliding Mode and Nonlinear Control, Springer-Verlag UK. 123-151 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi Ariga, kenzo Nonami, Katsunori Sakai: "NONLINEAR CONTROL OF ZERO-POWER MAGNETIC BEARING USING LYAPUNOV'S DIRECT METHOD"Procs., 7th Int.Sym.on Magnetic Bearings, pp.293-298, ETH, Zurich. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi ARIGA, Kenzo NONAMI and Hirochika UEYAMA: "Nonlinear zero-power of energy flywheel system(Derivation of nonlinear control system without gyroscopic effects)"Trans.Japan AEM Society. 403-410 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi ARIGA, Kenzo NONAMI, Katsunori SAKAI: "Nonlinear Control of Zero-Power Magnetic Bearing System, (1st Report, Proposal of Control Algorithm based on Lyapunov's Direct Method.)"Trans.Japan Society of Mech.Eng.. 67(654). 392-400 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi ARIGA, Kenzo NONAMI, Katsunori SAKAI: "Nonlinear Control of Zero-Power Magnetic Bearing System, (2st Report, Experimental Consideration.)"Trans.Japan Society of Mech.Eng.. 67(654). 401-406 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi ARIGA, Kenzo NONAMI: "Modeling and Sensorless H-infinity Control of Magnetic bearing with Effect of Eddy Current"Trans.Japan Society of Mech.Eng.. 65(638). 4012-4018 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yuichi ARIGA, Kenzo NONAMI, Katsunori SAKAI: "Experimental Consideration of Zero-Power Magnetic Bearing Supported by Nonlinear Controller"Trans.Japan Society of Mech.Eng.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Katsunori SAKAI, Kenzo NONAMI and Yuichi ARIGA: "Zero Power Nonlinear Control of a magnetic Bearing by means of Backstepping Procedure"Trans.Japan Society of Mech.Eng.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 有我祐一,野波健蔵,上村拓知: "電力貯蔵フライホイールの非線形ゼロパワー制御"日本AEM学会. 8巻3号. 403-410 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 有我祐一,野波健蔵,酒井克章: "ゼロパワー磁気軸受系の非線形制御(第1報 制御法の提案)"日本機械学会論文集,C編. 67巻654号. 392-400 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 有我祐一,野波健蔵,酒井克章: "ゼロパワー磁気軸受系の非線形制御(第2報 実験的検証)"日本機械学会論文集,C編. 67巻654号. 401-406 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Ariga,K.Nonami,K.Sakai: "Nonlinear Control of Zero Power Magnetic Bearing Using Lyapunev's Method"Proceedings 7th.Int.Sym.on Magnetic Bearings. 293-298 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 有我祐一,野波健蔵,酒井克章: "リアプノフ直接法によるゼロパワー磁気軸受の非線形制御"第11回「電磁力関連のダイナミクス」シンポジウム講演論文集. 215-218 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 有我祐一,野波健蔵,酒井克章: "リアプノフ直接法に基づく磁気軸受系の非線形制御"第42回自動制御連合講演会前刷集. 51-52 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Ariga, K. Nonami: "Nonlinear Control of Zero-Power Magnetic Bearing Using Lyapunov Direct Method"Procs. of Third Int. Conf. on Vibration Science Control Technology. 54-55 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 有我祐一,野波健蔵: "渦電流効果を有する磁気軸受のモデリングとセンサレスH_∞制御"日本機械学会論文集,C編. 65-638. 4012-4018 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Selim Sivrioglu, Kenzo Nonami: "ジャイロロータ・磁気軸受系のゲインスケジュール型スライディングモード制御"日本機械学会論文集,C編. 65-635. 2665-2671 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kenzo Nonami, Shuichi Hirasawa: "Sliding Mode Positioning Control of Single-Link Flexible Arm Using Control Hyperplane"JSME Int. Journal, Ser. C. 42・2. 350-356 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K. Nonami, S. Sivrioglu: "Variable Structure Systems, Sliding Mode and Nonlinear Control"Springer-Verlag UK. 386 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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