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A Study on Generalized Invariant Subspaces and Disturbance-Rejection Problems for Periodic Discrete-Time Systems

Research Project

Project/Area Number 13650449
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field System engineering
Research InstitutionTokyo Denki University

Principal Investigator

OTSUKA Naohisa  Tokyo Denki University, College of Science and Engineering, Associate Professor, 理工学部, 助教授 (30185318)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsPeriodic System / Invariant Subspaces / Geometric Approach / Disturbance-Rejection Problems
Research Abstract

The project of this study consists of the following five parts.
(1) The first study is to investigate about the minimal dimension of dynamic compensator which solves disturbance-rejection problems in the framework of the so-called geometric approach.
(2) The second study is to introduce the concepts of the generalized invariant subspaces and to investigate the properties of those subspaces for linear uncertain periodic systems.
(3) The third study is to formulate the disturbance-rejection problems with state and / or static output feedback for linear uncertain periodic systems and to obtain the solvability conditions for the problems.
(4) The fourth study is to introduce the concepts of generalized (C(k), A(k), B(k))-pair and to investigate the properties of that for linear uncertain periodic systems.
(5) The fifth study is to formulate the disturbance-rejection problem with dynamic compensator for linear uncertain periodic systems and to obtain the solvability conditions for the problem.
As results of the above studies, some concepts of generalized invariant subspaces and generalized (C(k), A(k), B(k))-pairs for uncertain linear periodic systems were introduced and their properties were investigated. Further, the disturbance-rejection problems with state feedback, output feedback and dynamic compensators for uncertain linear periodic systems were formulated and some solvability conditions were given, respectively.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] N.Otsuka: "Generalized 〔C_γ(・),A_α(・).B_β(・)〕-pairs for Linear ω-Periodic Discrete-Time Systems"Transaction of the Society of Instrument and Control Engineers. Vol.39. 25-34 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N.Otsuka: "Generalized Controlled and Conditioned Invariances for Linear ω-Periodic Discrete-Time Systems"Linear Algebra and Its Application. Vol.327/1-3. 207-223 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N.Otsuka: "Disturbance-Rejection Problems with Low Order Dynamic Compensator for Linear ω-Periodic Discrete-Time Systems"IEEE Transactions on Automatic Control. Vol.46,No.4. 631-635 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N. Otsuka: "Generalized (C_γ(.), A_α(.), B_β(.))-pairs for Linear ω-Periodic Discrete- Time Systems"Transaction of the Society of Instrument and Control Engineers. 39. 25-34 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N. Otsuka: "Generalized Controlled and Conditioned Invariances for Linear ω-Periodic Discrete- Time Systems"Linear Algebra and Its Applications. 327/1-3. 207-223 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N. Otsuka: "Disturbance-Rejection Problems with Low Order Dynamic Compensator for Linear ω-Periodic Discrete- Time Systems"IEEE Transactions on Automatic Control. 46, No.4. 631-635 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] N.Otsuka: "Generalized (C_γ(・),A_α(・),B_β(・))-pairs for Linear ω-Periodic Discrete-Time Systems"Transaction of the Society of Instrument and Control Engineers. Vol.39,No.1. 25-34 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] N.Otsuka: "Generalized (C, A, B)-pairs for Linear Discrete-Time Systems"Proc. of the American Control Conference(ACC'02). 2418-2423 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] N.Otsuka: "Generalized S(C, A, B)-pairs for Infinite-Dimensional Systems"Proc. of the 15th IFAC World Congress b'02. 1942 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] N.Otsuka, R.Abdursul: "Further Studies on Generalized Invariant Subspaces"Proc. of the IEEE Region 10 Technical Conference on Computers, Communications, Control and Power Engineering(TENCON'02). 1327-1330 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] N.Otsuka: "Generalized Controlled and Conditioned Invariances for Linear ω-Periodic Discrete-Time Systems"Linear Algebra and Its Applications. Vol.327/1-3. 207-223 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.Otsuka: "Disturbance-Rejection Problems with Low Order Dynamic Compensator for Linear ω-Periodic Discrete-Time Systems"IEEE Transactions on Automatic Control. Vol.46,No.4. 631-635 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.Otsuka: "Parameter Insensitive Disturbance-Rejection Problems with Dynamic Compensator for Uncertain Linear ω-Periodic Discrete-Time Systems"The Fourth SIAM Conference on Linear Algebra in Signals and Control. 25-25 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.Otsuka: "Generalized Controlled and Conditioned Invariances for Linear ω-Periodic Discrete-Time Systems"Proc. of the sixth European Control Conference(ECC'01). 2404-2409 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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