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New Theory for Sampled-Data Control Systems and Its Applications

Research Project

Project/Area Number 05452220
Research Category

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

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

YAMAMOTO Yutaka  Kyoto Univ., Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (70115963)

Co-Investigator(Kenkyū-buntansha) HASE Hideaki  Kyoto Univ., Graduate School of Engineering, Instructor, 工学研究科, 助手 (30263122)
OKINO Norio  Kyoto Univ., Graduate School of Engineering, Professor, 工学研究科, 教授 (30001093)
松本 豊  京都大学, 工学部, 助手 (40239124)
渡部 広一  京都大学, 工学部, 助手 (90201251)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥6,600,000 (Direct Cost: ¥6,600,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1993: ¥5,100,000 (Direct Cost: ¥5,100,000)
KeywordsSampled-Data Control / Digital Control / Frequency Response / Lifting / H^* Control / リフテイング
Research Abstract

The present research project intends to give a systematic study of the modern function theoretic approach, developed by the principal investigator, to sampled-data control systems. The emphasis here is upon the built-in intersample behavior in the design model based on the new notion called lifting, thereby differing greatly from the classical context. It aims at advancing
1.frequency domain analysis/synthesis methods,
2.introduction and introduction and computation of frequency response,
3.H^* design methods
4.algorithms for these computational issues.
During the research term, we have successfully obtained the following results :
1.introduction of the new notion of frequency response for sampled-data systems,
2.relationship with the impulse modulation formula,
3.its characterization via finite-dimensional eigenvalue problem,
4.a solution to the H^* optimization problem,
5.various computational algorithms,
6.implementation as a CAD package.
A promising sign of application toward signal processing has also been obtained. The interplay of the present research with this theme is undoubtedly the most logical, related and perhaps most fruitful target for the future.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (54 results)

All Other

All Publications (54 results)

  • [Publications] Y. Yamamoto: "On the frequency response of sampled-data systems" Proc. 32nd CDC. 799-804 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "A function state space approach to robust tracking for sampled-data systems" Control and Information Sciences. 183. 64-71 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "On the state space and frequency domain characterization of H^∞-norm of sampled-data systems" Systems and Control Letters. 21. 163-172 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Function space models for sampled-data systems and transfer functions" Journal of SICE. 32. 101-106 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "A function space approach to sampled-data control systems and tracking problems" IEEE Trans. Autom. Control. AC-39. 703-712 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Frequency responses for sampled-data systems-their equivalence and relationships" Linear Algebra and Its Applications, 205-206:. 1319-1339 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Hayakawa: "H_∞ type problem for sampled-data control systems-a solution via minimum energy characterization" IEEE Trans. Autom. Control, 39. 2278-2284 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Frequency response and its computation for sampled-data systems" Systems and Networks: Mathematical Theory and Applications, Mathematical Research. 79. 573-574 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Sampled-data systems: from lifting to frequency response" Trans. Inst. Elec. Eng. Japan. 114-C. 729-734 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Pseudorational functions and H^∞ theory" Proc. ACC 1994. 1593-1597 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Skew Toeplitz theory and pseudorational transfer functions" Proc. 33rd CDC. 878-879 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H. Zwart: "Stability is realization-dependent: some examples" Systems & Control Letters. 24. 25-31 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 平田: "H^∞感度最適化問題の解法間の同値性" 計測自動制御学会論文集. 31. 1954-1961 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山本 裕: "システム理論の過去と未来-連続と離散の間" システム/制御/情報. 39. 35-40 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] B. D. O. Anderson: "Sampled-data system description using frequency responses" Proc. International Conference on Control and Information. 327-337 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Optimal sensitivity computation for pseudorational transfer functions" Proc. 3rd European Control Conference. 201-206 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S. Hara: "Computational aspects of gain-frequency response for sampled-data systems" Proc. 34th IEEE CDC. 1784-1789 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Frequency response of sampled-data systems" IEEE Trans. Autom. Control. (掲載予定). (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "On the frequency response of sampled-data systems" Proc.32nd CDC. 799-804 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "A function state space approach to robust tracking for sampled-data systems" Robust Control, S.Hosoe Ed., Springer Lecture Notes in Control and Information Sciences. Vol.183. 64-71 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "On the state space and frequency domain characterization of H^*-norm of sampled-data systems" Systems and Control Letters. Vol.21. 163-172 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Function space models for sampled-data systems and transfer functions" J.SICE. vol.32, No.2. 101-106 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "A function space approach to sampled-data control systems and tracking problems" IEEE Trans.Autom.Control. AC-39. 703-712 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Frequency responses for sampled-data systems-their equivalence and relationships" Linear Algebra and Its Applications. 205-206. 1319-1339 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Hayakawa: "H_* type problem for sampled-data control systems-a solution via minimum energy characterization" IEEE Trans. Autom.Control. 39. 2278-2284 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Frequency response and its computation for sampled-data systems" Systems and Networks : Mathematical Theory and Applications, Mathematical Research Vol.79, Proc.MTNS-93, Regensburg, Germany, U.Helmke, R.Mennicken and J.Saurer Ed. Academie Verlag. 573-574 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Sampled-data systems : from lifting to frequency response" Trans.Inst.Elec.Eng.Japan.Vol.114-C,No.7/8. 729-734 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Pseudorational functions and H^* theory" Proc.ACC 1994. 1593-1597 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Skew Toeplitz theory and pseudorational transfer functions" Proc.33rd CDC. 878-879 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Zwart: "Stability is realization-dependent : some examples" Systems & Control Letters. 24. 25-31 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Hirata: "The equivalence among the solutions of the H^* optimal sensitivity computation problem" SICE Transactions. vol.31. 1954-1961 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "System Theory-the past and future in relation to the gap between analog and digital" Systems/Information/Control. vol.39. 35-40 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] B.D.O.Anderson: "Sampled-data system description using frequency responses" Proc.International Conference on Control and Information, Hong Kong. 327-337 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Optimal sensitivity computation for pseudorational transfer functions" Proc.3rd European Control Conference. 201-206 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] S.Hara: "Computational aspects of gain-frequency response for sampled-data systems" Proc.34th IEEE CDC. 1784-1789 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Yamamoto: "Frequency response of sampled-data systems" IEEE Trans.Autom.Control. (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Yamamoto: "Sampled-data system description using frequency responses" Proc. International Conference on Control and Information. 327-337 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y. Yamamoto: "Optimal sensitivity computation for pseudorational transfer functions" Proc. 3rd European Control Conference. 201-206 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y. Yamamoto: "Computational aspects of gain-frequency response for sampled-data systems" Proc. 34th IEEE CDC. 1784-1789 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y. Yamamoto: "Frequency respnose of sampled-data systems" IEEE Trans. Autom. Controlに掲載予定. (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山本裕: "システム理論の過去と未来-連続と離散の間" システム/制御/情報. 39. 35-40 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山本裕: "H^∞感度最適化問題の解法間の同値性" 計測自動制御学会論文集. 31. 1954-1961 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Yutaka Yamamoto: "A function space approach to sampled-data control systems and tracking prob-lems" IEEE Trans.Autom.Control,AC-39:. 703-712 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Frequency responses for sampled-data systems-their equivalence and relation-ships" Linear Algebra and Its Applications,. 205-206. 1319-1339 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Hayakawa,: "H^∞type problem for sampled-data control systems-asolution via minimum en-ergy characterization" IEEE Trans.Autom.Control,. 39. 2278-2284 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Frequency response and its computation for sampled-data systems Sustems and Networks:Mathematical Theory and Applications,Mathematic" Proc.MTNS-93,Regensburg,Germany Academie Verlag. 79. 573-574 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Frequency response and its computation for sampled-data systems" Proc.MTNS-93 Regensburg,Germany. 573-574 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Pseudorational functions H^∞theory" Proc.ACC 1994:. 1593-1597 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yutaka Yamamoto: "On the state space and frequency domain characterization of H^∞-norm of sampled-data systems" Systems and Control Letters. Vol.21. 163-172 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yutaka Yamamoto: "A function space approach to sampled-data control systems and tracking problems" IEEE Trans.Autom.Control. (掲載予定). (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yutaka Yamamoto and Mituhiko Araki: "Frequency responses for sampled-data systems-their equivalence and relationships" Linear Algebra and Its Applications. (掲載予定). (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Frequency response and its computation for sampled-data systems" Proc.MTNS-93,Regensburg,Germany. (掲載予定). (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yutaka Yamamoto and P.P.Khargonekar: "On the frequency response of sampled-data systems" Proc.CDC. 799-804 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Yutaka Yamamoto: "Learning control and related problems in infinite-dimensional systems" Essays on Control:Perspectives in the Theory and its Applications Birkhauser. 191-222 (1993)

    • Related Report
      1993 Annual Research Report

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

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