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A study on constructive stability and initial condition problem in supervisory control system

Research Project

Project/Area Number 12650439
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionCHIBA UNIVERSITY

Principal Investigator

SAITO Osami  Chiba Univ., Dept. of Mechanical and Electronics Eng., Professor, 工学部, 教授 (50005526)

Co-Investigator(Kenkyū-buntansha) OHGATA Akihoro  Chiba Univ., Dept. of Mechanical and Electronics Eng., Research fellow, 工学部, 助手 (70312931)
LIU Kang-she  Chiba Univ., Dept. of Mechanical and Electronics Eng., Associate Professor, 工学部, 助教授 (70240413)
Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2001: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2000: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordssupervisory control / hybrid system / stability / nonholonomic system / Liapunov function / switched system / initial conditions / 周期挙動 / カオス
Research Abstract

The study clarifies the following results as the constructive stability and initial condition problem in supervisory control system.
(1) The stability of supervisory system should be considered, including the supervisor rule. Here, it is supposed to be the switching rule of two compensators. The stability is discussed with Liapunov function, so as the switching device is the nonlinear function.
First of all, the best or the worst switching rule for stability is clarified. Secondly constructive stability is invested based on the system characteristics such as the eigen values
(2) Nonholonomic system is dealt with as the examples of switched system and a design theory of stabilizable compensator is proved by using Liapunov function. It is applied to the steering control of a two-wheeler.
(3) The dynamical behavior of switched two tanks is analyzed and it is realized as chaotic behavior.

Report

(3 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] Li Xu, O.Saito, Y.Anazawa, H.Suda: "Some Comments on Stability Test of N-D System"Proc. of 6th Int. Conf. Of Control, Auto Robotics and Vision. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Yamada, L.Xu, O.Saito: "Further Results on Bose's 2D Stability Test"Proc. of Math. Theory of Networks and Systems. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.Ogata, M.Yamamoto, K.Liu, O.Saito: "A Geometrical Approach on Parameter Dependent Lyceums Auction"Proc. of 39th IEEE Conference on Desion and Control. 7051-7052 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 山田 実, 徐 粒, 斎藤 制海: "離散システム安定判別法の代数演算化とその2次元システム安定判別への応用"計測自動制御学会論文集. 38・1. 9-17 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 大形 明弘, 山本 将利, 劉 康志, 斎藤 制海: "パラメータ依存リアプノフ関数の幾何学的方法"計測自動制御学会論文集. 38・2. 137-142 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] L.Xu, O.Saito: "Recent Advances in Multidimensional system Theory and Applicaion Eds K.Galkowski"A Taylor and Francis Books Ltd. 30/272 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Li Xu, O. Saito, Y. Anazawa, H. Suda: "Some Comments on Stability Test for N-D Systems"Proc. of 6th Int. Conf. of Control, Auto. Robotics and Vision. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Yamada, Li Xu, O. Saito: "Further Results on Bose's 2D Stability Test"Further Results on Bose's 2D Stability Test, Proc. of Math. Theory of Networks and Systems. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A. Ogata, K. Liu, O. Saito: "A Geometrical Approach on Parameter Dependent Lyapunov Functions"Proc. of 39th IEEE Conference on Decision and Control. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Yamada, L. Xu, O. Saito: "Algebraic Algorithm for Stability Testing of Discrete Systems and Its Application to Stability Testing of 2 Dimensional Systems"Trans. of the Society of Instrument and Control Engineers. Vol. 38, No. 1. 9-17 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.Ogata, M. Yamamoto, K. Liu, 0. Saito: "A Geometric Approach to Parameter Dependent Lyapunov Functions"Trans. of the Society of Instrument and Control Engineers. Vol. 38, No. 2. 137-142 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Li Xu, O.Saito, Y.Anazawa, H.Suda: "Some Comments on Stability Test for N-D Systems"Proc.of 6th Int.Conf.of Control,Auto.Robotics and Vision. (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Yamada, Li Xu, O.Saito: "Further Results on Bose´s 2D Stability Test"Proc.of Math.Theory of Networks and Systems. (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] A.Ogata, M.Ymamoto, K.Liu, O.Saito: "A Geometrical Approach on Parameter Dependent Lyapunov Functions"Proc.of 39^<th> IEEE Conference on Decision and Control. Vol.1. 7051-7070 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山田 実, 徐 粒, 斎藤 制海: "離散システム安定性判別法の代数演算化とその2次元システム安定性判別への応用"計測自動制御学会論文集. 38・1. 9-17 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 大形 明弘, 山本 将利, 劉 康志, 斎藤 制海: "パラメータ依存リヤプノフ関数の幾何学的方法"計測自動制御学会論文集. 38・2. 137-142 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Li Xu, O.Saito: "Recent Advances in Multidimensional Systems Theory and Applications,Eds.K.Galkowski J.Wood"A Taylor and Francis Books Ltd.. (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 劉 康志: "線形ロバスト制御"コロナ社. 214 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Li Xu,O.Saito: "A Review on nD System Control Theory in Certain Practical Sense"Recent Advances in Multidimensional Systems Theory and Applications, Taylor and Francis Books Ltd., Eds.K.Galkowski J.Wood. (In press). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Li Xu,O.Saito,Y.Anazawa,H.Suda: "Some Comments on Stability Test for N-D Systems"Proc.of 6th Int.Conf.of Control, Auto.Robotics and Vision. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Yamada,Li Xu,O.Saito: "Further Results on Bose's 2D Stability Test"Proc.of Math.Theory of Networks and Systems. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Ogata,M.Ymamoto,K.Liu,O.Saito: "A Geometrical Approach on Parameter Dependent Lyapunov Functions"Proc.of 39^<th> IEEE Conference on Decision and Control. Vol.1. 7051-7052 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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