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2001 Fiscal Year Final Research Report Summary

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
Keywordssupervisory control / hybrid system / stability / nonholonomic system / Liapunov function / switched system / initial conditions
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.

  • Research Products

    (11 results)

All Other

All Publications (11 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2003-09-17  

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