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Pattern Classification and Construction of Lyapunov Function for Nonlinear Control Systems Using the Robust Perturbation Method

Research Project

Project/Area Number 05650415
Research Category

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

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionUniversity of the Ryukyus

Principal Investigator

MIYAGI Hayao  Univ. of the Ryukyus, Faculty of Eng. Professor, 工学部, 教授 (40112445)

Co-Investigator(Kenkyū-buntansha) UEZATO Katsumi  Univ. of the Ryukyus, Faculty of Eng. Professor, 工学部, 教授 (70045029)
YAMASHITA Katsumi  Univ. of the Ryukyus, Faculty of Eng. Professor, 工学部, 教授 (60158152)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1994: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1993: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsRobust stability / Quadratic form / Nonlinear perturbation / Lyapunov method / Nonlinear control / Product-type nonlinear feedback17GA01 : H.Miyagi and K.Yamashita / ルーリエ形リアプノフ関数 / 非ルーリエ形リアプノフ関数 / パターン類別
Research Abstract

1.Stability analysis of motor system which consists of reluctance stepping motor or synchronous motor has been carried out by the direct method of Lyapunov, considering the nonlinearities of the motor. The results show that the direct method of Lyapunov is successfully applicable to stability studies of nonlinear systems.
2.Power system is a complex engineering system. The report gives two ways of improving transient stability of power systems. One is the cooperative fuzzy control techinique of AVR and GOV based on sliding mode. The other is the static var compensator technique utilizing fuzzy control theory.
3.A method of constructing non-Lure type Lyapunov function for nonlinear control system has been presented. The function surpasses the Lure type Lyapunov function from the point of view of the stability region guaranteed.
4.The report also presents a method of analysing robust stability of perturbed multimachine power systems, through Popov-Lyapunov approach. Robust stability criteria are presented to derive a robustness measure which gives some bounds on allowable perturbation for the system.
5.The robustness of product-type nonlinear feedback systems subjected to parameter variations has been studied through both the positive realness of perturbed transfer functions and the direct method of Lyapunov. The tolerable range of individual parameter deviations and the condition for the product-type nonlinearities can be obtained by the proposed method.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] 宮城 隼夫: "Robust Stability of Multimachine Power Systems" Proceedings of International Power Engineering Conference in Singapore. 1. 308-313 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 宮城 隼夫: "Stability Analysis of Nonlinear Feedback Systems Using the Non-Lure Type Lyapunov Function" Proceedings of the 32nd SICE Annual Conference in Kanazawa. 32. 1095-1098 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 宮城 隼夫: "Stability studies of Dynamical Systems Using the Non-Lure Type Lyapunov Function" Proceedings Of IEEE International Conf.on Systems,Man and Cybernetics. 1. 60-65 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 宮城 隼夫: "Robust Stability of Lure Systems with Parameter Deviations and Perturbed Nonlinearities" Application of Multivariable System Techniques(AMST'94 in Bradford). 99-107 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 千住 智信: "ファジィ制御を適用した静止形無効電力補償装置による電力系統の安定化制御法" 電気学会論文誌. 114-B. 1265-1272 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 宮城 隼夫: "多次元積形非線形フィードバックをもつシステムのロバスト安定性" 計測自動制御学会論文集. 31. 129-131 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] "Robust Stability of Multimachine Power systems" Int. Power Engineering Conf. inSingapore. Vol.1. 308-313 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Senjyu K.Uezato and H.Miyagi: "Lyapunov Stability Analysis of Variable Reluctance Stepping Motors" Trans.IEE of Japan. VOL.113-D. 552-553 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Senjyu H.kamifurutono and K.Ueazto: "Robust Current Control Method with Disturbance Observer" Trans.IEE of Japan. Vol.113-D. 694-695 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miyagi M.Ikema and K.yamashita: "Stability Analysis of Nonlinear Feedback Systems Using the Non-Lure Type Lyapunov Function" Proc. of the 32nd SICE Annual Conf. in Kanazawa. Vol.32. 1095-1098 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miyagi M.Ikema and K.Yamashita: "Stability Studies of Dynamical Systems Using the Non-Lure Type Lyapunov Function" IEEE Int.Conf.on Systems, Man and Cybernetics. Vol.1. 60-65 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Senjyu and K.Uezato: "Improvement of Pull-Into-Step of Synchronous Motors by Non-linear State Feedback Control" Trans.IEEE of Japan. Vol.114-D. 57-63 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Senjyu N.Gibo and K.Uezato: "Cooperative Fuzzy Control of AVR and GOV Based on Sliding Mode for Improving Transient Stability of Power Systems" Trans.IEEE of Japan. Vol.114-B. 242-248 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] N.Miyagi and H.Miyagi: "Stability Studies of Product-Type Nonlinear Systems Based on the Anderson Theorem" Technical Report of the Dai-ichi University. No.6. 35-39 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miyagi K.Kawahira and K.Yamashita: "Robust Stability of Lure Systems with Parameter Deviations and Perturbed Nonlinearities" Application of Multivariable System Technique AMST'94 in Bradford. 99-107 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Senjyu T.Shiroma and K.Uezato18GB10 : Improvement of the Stability of Power Systems Using Static Var Compensator by Fuzzy Control: Trans.IEEE of Japan. Vol.114-D. 1265-1272 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] H.Miyagi K.Kawahira and K.Yamashita: "Robust Stability of Systems with Multi-Argument Product-Type Nonlinear Feedbacks" Trans. of the Society of Instrument and Control Engineers. Vol.31. 129-131 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 宮城隼夫: "積形非線形フィードバックシステムの一般化リアプノフ関数" 第33回SICE学術講演会予稿集. 33. 515-516 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 宮城隼夫: "多次元積形非線形フィードバックを持つシステムのロバスト安定性" 第33回SICE学術講演会予稿集. 33. 511-512 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 千住智信: "非線形状態フィードバック制御による同期電動機の同期引入れ特性の改善" 電気学会論文誌D. 114. 57-63 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 宮城隼夫: "多次元積形非線形フィードバックシステムの一般化リアプノフ関数" 第20回計測自動制御学会システムシンポジウム. 20. 369-372 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 宮城雅夫: "ロバスト摂動法による非線形フィードバックシステムのパターン類別" 日本機械学会九州支部講演論文集. 48. 154-156 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 宮城隼夫: "多次元積形非線形フィードバックをもつシステムのロバスト安定性" 計測自動制御学会論文集. 31. 129-131 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 宮城隼夫: "STABILITY ANALYSIS OF NONLINEAR FEEDBACK SYSTEMS USING THE NON-LURE^^- TYPE LYPUNOV FUNCTION" Proceedings of SICE'93 in Kanazawa. 32. 1095-1098 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 宮城隼夫: "STABILITY STUDIES OF DYNAMICAL SYSTEMS USING THE NON-LURE^^′ TYPE LYAPUNOV FUNCTION" Proceedings of SMC'93 (IEEE)in Le Touquet. 1. 60-65 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 千住智信: "リヤプノフ法によるステッピングモータの安定性解析" 電気学会論文誌D. 113. 694-695 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 千住智信: "非線形状態フィードバック制御による同期電動機の過渡安定度の向上" 電気学会論文誌D. 113. 817-818 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 千住智信: "PULL-IN CRITERION FOR RELUCTANCE MOTORS BY LYAPUNOV METHOD" Procedings of SMIC'93 in Kawasaki. 1. 107-110 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 宮城隼夫: "ROBUST STABILITY OF LURE^^′ SYSTEMS WITH PARAMETER DEVIATIONS AND PERTURBED NONLINEARITIES" Application of Multivariable System Techniques (AMST'94 in Bradford). (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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