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THEORITICAL SYSTEM OF MULTIDIMENSIONAL SYSTEM AND ITS APPLICATION

Research Project

Project/Area Number 10650425
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)

Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥900,000 (Direct Cost: ¥900,000)
Keywordsmultidimentinal system / stability / Grobner Basis / Servo problem / optimal control / learning control / multipass / マルチパス制御 / CAD / 状態方程式
Research Abstract

The project deals with theoretical system of multidimensional system and its application to practical systems and has obtained the following results.
(1) Stability and stabilization : The conventional stability theory and criterion depends on the system dimension. Here new theory and general criterion, independent on dimension, is studied based on Grobner Bases.
(2) Practical nD system : The practical nD system is defined, as the domain of one independent variable of nD system is finite. The synthesis and analysis method of practical nD system, especially stabilization, stabilizing feedback compensatory and optimal control are investigated.
(3) 2D model-following servo system : Two formulations of 2D model-following servo problem have been given. One is based on 2 variable polynomial ring. The other one is state variable formulation.
(4) Application : The above results are applied to desinging the controller of non-unit memory linear multipass processes. Finaly the new CAD system with MAPLE, for multidimension system is developed.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] 山田実、徐粒、斉藤制海: "Practicalな条件に基づく2次元最適制御とその学習系への応用"システム制御情報学会論文誌. 12・12. 705-710 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Yamada,L.Xu and Osami Saito: "2D Model Following Servo System"Multidimensional System and Signal Processing. 10・1. 71-91 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山田実、徐粒、斉藤制海: "2次元モデル追従サーボシステムの設計"計測自動制御学会論文集. 34・2. 112-119 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L.Xu,M.Yamada,O.Saito: "Development of nD Control System Toolbox for Use with MATLAB"Proceedings of 1999 IEEE International Conference on Control Application. 22-27 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L.Xu,M.Yamada,O.Saito: "2D Model-Following Servo System and Its Applications to Linear Multipass Processes"Proceedings of the 14^<th> IFAC World Congress. 240-246 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 斉藤、天沼、早乙女: "入門電気回路"朝倉書店. 156 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Yamada, L. Xu and Osami Saito: "2D Model Following Servo System"Multidimensional System and Signal Processing. Vol.10,No.1. 71-91 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. Xu, M. Yamada, O. Saito: "Development of nD Control System Toolbox for Use with MALTAB"Proceedings of 1999 IEEE International Conference on Control Application (CCA99). Auguat 22-27, Hawaii, 1543-1548 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. Xu, O. Saito, J. Ying: "2D Feedback System Design : The Tracking and Distuebance Rejection Problems"Proceeding of ISCAS99, Vol.V pp.13-16 May 30-June2, Orlando, Florida, USA. (invite session). (1999])

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Yamada, L. Xu, O. Saito: "2D Model-Following Servo System and Its Applications to Linear Mutipass Processes"Proceddings of 14ィイD1thィエD1 IFAC World Congress Beijing. 240-246 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. Xu, O. Saito: "Control of nD Sustems in a Practical Science"Proceeding of 1ィイD1stィエD1 Int. Workshop on Multidimensional (ND) Syatems (NDS'98) Zielana Gora, Poland, July. (Plenary Lecture). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] L. Xu, J. Ying, O. Saito: "Feedback Stabilizaion for a Class of MIMO nD System by Grobner Basis Approach"Proceecings of 1ィイD1stィエD1 Int. Workshop on Multidimensional (ND) Systems (NDC'98) Zielana Gora, Poland, July. 1998.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 山田 実、徐 粒、斉藤 制海: "Practicalな条件に基づく2次元最適制御とその学習系への応用"システム制御情報学会論文誌. 12・12. 705-710 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M. Yamada, L. Xu and Osami Saito: "2D Model Following Servo System"Multidimensional System and Signal Processing. 10・1. 71-91 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] L. Xu, M. Yamada, O.Saito: "Development of nD Control System Toolbox for Use with MATLAB"Proceedings of 1999 IEEE International Conference on Control Application. 22-27 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] L. Xu, M. Yamada, O.Saito: "2D Model-Following Servo System and Its Applications to Linear Multipass Processes"Proceedings of the 14^<th> IFAC World Congress. 240-246 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 斉藤、天沼、早乙女: "入門電気回路"朝倉書店. 156 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Yamada,L.Xu.O.Saito: "2D Model Following Servo System" Multidimensional System and Signal Processing. Vel.10 No.1. 71-91 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.Xu,O.Saito,J.Ying: "2D Feedback System Design:The Tracking and Distarbance Rejoction Problem" Proceeding of ISCAS99 Florida.U.S.A.(1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.Xu,O.Saito: "Control of nD Systems in a practical Sense" Proceedings of 1st Int.Workshop on Multidimensional System. (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] L.Xu,J.Ying,O.Saito: "Feedback Staliligation for a class of HIMO nD System by Grobrer Basis Approach" Proceedings of 1st Int.Workshop on Multidimensional Systems. (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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