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Study of Model Predictive Control for Nonlinear Partial Differential Equations

Research Project

Project/Area Number 24760334
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Control engineering
Research InstitutionOsaka University

Principal Investigator

HASHIMOTO Tomoaki  大阪大学, 基礎工学研究科, 助教 (90515115)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords制御工学 / システム工学 / 制御系設計 / 制御理論 / システム理論 / 偏微分方程式 / 最適化
Outline of Final Research Achievements

So far, no systematic control design methods have been proposed for nonlinear partial differential equations. In this study, based on model predictive control which is a kind of optimal feedback control method, a systematic control design method was established for a wide class of systems described by nonlinear partial differential equations. Furthermore, the proposed method was applied to nonlinear diffusion equations, Navier-Stokes equations, Schrodinger equations, wave equations, and so on. Consequently, the effectiveness of the proposed method was verified by numerical simulations.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (13 results)

All 2014 2013 2012 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results,  Acknowledgement Compliant: 2 results) Presentation (2 results) Remarks (3 results)

  • [Journal Article] Receding Horizon Control for a Class of Discrete-time Nonlinear Implicit Systems2014

    • Author(s)
      Tomoaki HASHIMOTO
    • Journal Title

      Proceedings of the 53rd IEEE Conference on Decision and Control

      Volume: - Pages: 5089-5094

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Receding Horizon Control for Mass Transport Phenomena in Thermal Fluid Systems2014

    • Author(s)
      Ryuta SATOH, Tomoaki HASHIMOTO and Toshiyuki OHTSUKA
    • Journal Title

      Proceedings of the Australian Control Conference

      Volume: - Pages: 273-278

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Receding Horizon Control for High-Dimensional Burgers’ Equations with Boundary Control Inputs2013

    • Author(s)
      Tomoaki HASHIMOTO, Yu TAKIGUCHI and Toshiyuki OHTSUKA
    • Journal Title

      Transactions of the Japan Society for Aeronautical and Space Sciences

      Volume: Vol. 56 Pages: 137-144

    • NAID

      10031194779

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Receding Horizon Control for Hot Strip Mill Cooling Systems2013

    • Author(s)
      Tomoaki HASHIMOTO, Yusuke YOSHIOKA and Toshiyuki OHTSUKA
    • Journal Title

      IEEE/ASME Transactions on Mechatronics

      Volume: Vol. 18 Issue: 3 Pages: 998-1005

    • DOI

      10.1109/tmech.2012.2195671

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Model Predictive Control for Nonlinear Wave Equations2013

    • Author(s)
      Tomoaki HASHIMOTO, Yusuke FUKUI and Toshiyuki OHTSUKA
    • Journal Title

      The IPSI BgD Transactions on Advanced Research

      Volume: Vol. 9 Pages: 2-6

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Output Feedback Receding Horizon Control for Spatiotemporal Dynamic Systems2013

    • Author(s)
      Tomoaki HASHIMOTO, Yu Takiguchi and Toshiyuki OHTSUKA
    • Journal Title

      Proceedings of the 9th Asian Control Conference

      Volume: -

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Receding Horizon Control for Hot Strip Mill Cooling Systems2013

    • Author(s)
      Hashimoto, T., Yoshioka, Y., and Ohtsuka, T.
    • Journal Title

      IEEE/ASME Transactions on Mechatronics

      Volume: 18(3) Issue: 3 Pages: 998-1005

    • DOI

      10.1109/tac.2012.2208318

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Receding Horizon Control with Numerical Solution for Spatiotemporal Dynamic Systems2012

    • Author(s)
      Tomoaki HASHIMOTO, Yusuke YOSHIOKA and Toshiyuki OHTSUKA
    • Journal Title

      Proceedings of the 51th IEEE Conference on Decision and Control

      Volume: 51 Pages: 2920-2925

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Receding Horizon Control with Numerical Solution for Thermal Fluid Systems2012

    • Author(s)
      Tomoaki HASHIMOTO, Yusuke YOSHIOKA and Toshiyuki OHTSUKA
    • Organizer
      Proceedings of the SICE Annual Conference
    • Place of Presentation
      Akita
    • Related Report
      2012 Research-status Report
  • [Presentation] Probabilistic Constrained Model Predictive Control for Schrodinger Equation with Finite Approximation2012

    • Author(s)
      Tomoaki HASHIMOTO, Ippei Yoshimoto and Toshiyuki OHTSUKA
    • Organizer
      Proceedings of the SICE Annual Conference
    • Place of Presentation
      Akita
    • Related Report
      2012 Research-status Report
  • [Remarks] Optimal Control Method of Fluid Systems

    • URL

      http://thashi.net/Research/FluidControl/fluidControlE.htm

    • Related Report
      2014 Annual Research Report
  • [Remarks] Optimal Control Method of Fluid System

    • URL

      http://thashi.net/Research/FluidControl/fluidControlE.htm

    • Related Report
      2013 Research-status Report
  • [Remarks] Optimal Control Method of Fluid System

    • URL

      http://thashi.net/Research/FluidControl/fluidControlE.htm

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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