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Flexible optimization-based approach for linear and nonlinear robust control design

Research Project

Project/Area Number 12650412
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field System engineering
Research InstitutionToyota Technological Institute

Principal Investigator

TUAN Hoang Duong  Toyota Technological Institute, Associate Professor, 工学部, 助教授 (60262854)

Co-Investigator(Kenkyū-buntansha) HARA Susumu  Toyota Technological Institute, Ass. Researcher, 工学部, 助手 (40329850)
NARIKIYO Tatsuo  Toyota Technological Institute, Professor, 工学部, 教授 (70231496)
Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2001: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2000: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsRobust control / Nonconvex optimization / Flexible optimization
Research Abstract

In this project, we have obtained very important results for design of linear and nonlinear robust controls. Namely,
(i) New linear matrix inequality (LMI) based optimization formulation for multi-criterion robust filtering.
(ii) New LMI characterizations for H_2 norm and H_∞ norm for 2-D systems. Based on them, new LMI formulations for robust filtering for 2-D systems are given
(iii) New development for H_2 and H_∞ controls of nonlinear parameter-varying systems (NPV)
(iv) New design for adaptive controls for plants with nonlinear parameterizations.

Report

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

    (23 results)

All Other

All Publications (23 results)

  • [Publications] H.D.Tuan, et al.: "Robust and reduced-order filtering : new characterizations and method"IEEE Trans.Signal Processing. Vol.39. 2975-2984 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D.Tuan, et al.: "Monotonic relaxations for robust control: new characterizations"IEEE Trans.Automatic Control. Vol.47. 378-384 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D.Tuan, et al.: "Parameterized linear matrix inequalities in fuzzy control system design"IEEE Trans.Fuzzy Systems. Vol.9. 324-332 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] P.Apkarian, et al.: "Continuous-time analysis and H2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans.Automatic Control. Vol.49. 1941-1946 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] P.Pellanda, et al.: "Missile autopilot design via a multi-channel LFT/LPV control method"Int.J.Robust Nonlinear Control. Vol.12. 1-20 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D.Tuan, et al.: "Robust mixed H2-Hinfty filtering of 2-D systems"IEEE Trans.Signal Processing. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D. Tuan, P. Apkarian, T.Q. Nguyen: "Robust and reduced-order filtering: new characterizations and method"IEEE Trans. Signal Processing. 49. 2975-2984 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D. Tuan, P. Apkarian: "Monotonic relaxations for robust control: new characterizations"IEEE Trans. Automatic Control. 51. 378-384 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D. Tuan, P. Apkarian, T. Narikyio, Y. Yamamoto: "Parametrized linear matrix inequalities in fuzzy control system design"IEEE Trans. Fuzzy Systems. 9. 324-332 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] P. Apkarian, H.D. Tuan, J. Bernussou: "Continuous-time analysis and H_2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans. Automatic Control. 49. 1941-1946 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] P. Pellanda, P. Apkarian, H.D. Tuan: "Missile autopilot design via a multi-channel LFT/LPV control method"Int. J. Robust Nonlinear Control. 12. 1-20 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D. Tuan, P. Apkarian, T.Q. Nguyen, T. Narikyio: "H2/H-infty filtering of 2-D systems"IEEE Trans. Signal Processing. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.D.Than, et al.: "Robust and reduced-order filtering : new characterizations and method"IEEE Trans. Signal Processing. Vol.39. 2975-2984 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.D.Than, et al.: "Monotonic relaxations for robust control : new characterizations"IEEE Trans. Automatic Control. Vol.47. 378-384 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.D.Than, et al.: "Parameterized linear matrix inequalities in fuzzy control system design"IEEE Trans. Fuzzy Systems. Vol.9. 324-332 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] P.Apkarian, et al.: "Continuous-time analysis and H2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans. Automatic Control. Vol.49. 1941-1946 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] P.Pellanda, et al.: "Missile autopilot design via a multi-channel LFT/LPV control method"Int. J. Robust Nonlinear Control. Vol.12. 1-20 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.D.Than, et al.: "Robust mixed H2-Hinfty filtering of 2-D systems"IEEE Trans. Signal Processing. (印刷中).

    • Related Report
      2001 Annual Research Report
  • [Publications] H.D.Tuan, et al: "Robust and reduced-order filtering : new characterizations and method"IEEE Trans. Signal Processing. (印刷中).

    • Related Report
      2000 Annual Research Report
  • [Publications] H.D.Tuan, et al: "Monotonic relaxations for robust control : new characterizations"IEEE Trans. Automatic Control. (印刷中).

    • Related Report
      2000 Annual Research Report
  • [Publications] H.D.Tuan, et al: "Parameterized linear inatrix inequalities in fuzzy control system design"IEEE Trans. Fuzzy Systems. (印刷中).

    • Related Report
      2000 Annual Research Report
  • [Publications] P.Apkarian, et al: "Continuous-time analysis and H2 multi-channel synthesis with enhanced LMI characterizations"IEEE Trans. Automatic Control. (印刷中).

    • Related Report
      2000 Annual Research Report
  • [Publications] P.Pellanda, et al: "Missile autopilot design via a multi-channel LFT/LPV control method"Int.J.Robust Nonlinear Control. (印刷中).

    • Related Report
      2000 Annual Research Report

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

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