• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Control System Design of Nonlinear Systems via Numeric and Symbolic Computation

Research Project

Project/Area Number 20760280
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Control engineering
Research InstitutionKyushu Institute of Technology

Principal Investigator

ICHIHARA Hiroyuki  Kyushu Institute of Technology, 理工学部, 講師 (70312072)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords制御系設計 / 数値計算 / 数式処理 / 二乗和 / 限量記号消去法 / 限量記号消去 / 多項式システム / 制御系解析 / 計算機代数 / 非線形システム / 線形行列不等式
Research Abstract

The research has investigated a methodology of control system design of nonlinear systems, in particular nonlinear polynomial systems via numeric and symbolic computation. The methods of state feedback controller design, observer design and input-to-state system analysis have proposed for nonlinear polynomial systems using sum of squares relaxation and solving semidefinite programming problems. An optimization of nonlinear gain functions has also proposed by a combined use of sum of squares and quantifier elimination. The research also has investigated a design method on gain scheduling controller for the Acrobot, in which effectiveness of several reduction approaches of computation are verified.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (35 results)

All 2011 2010 2009 2008 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (26 results) Remarks (4 results)

  • [Journal Article] SOS に基づくアクロボットのゲインスケジューリング制御-姿勢制御による検証-2010

    • Author(s)
      市原裕之, 川田昌克
    • Journal Title

      計測自動制御学会論文集 Vol.46, No.7

      Pages: 373-382

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] SOSに基づくアクロボットのゲインスケジューリング制御 -姿勢制御による検証-2010

    • Author(s)
      市原裕之, 川田昌克
    • Journal Title

      計測自動制御学会論文集

      Volume: Vol.46, No.7 Pages: 373-382

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations2009

    • Author(s)
      H.Ichihara
    • Journal Title

      IEEE Transactions on Automatic Control Vol.54, No.5

      Pages: 1050-1055

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations2009

    • Author(s)
      Hiroyuki Ichihara
    • Journal Title

      IEEE Transactions on Automatic Control (未定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite-Time Control by Observer-Based Output Feedback for Linear Discrete-Time Systems2009

    • Author(s)
      Hiroyuki Ichihara and Hitoshi Katayama
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration 2(未定)

    • NAID

      10031152623

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] 非線形ゲイン解析に対するSOS-QEアプローチ2011

    • Author(s)
      市原裕之, 穴井宏和
    • Organizer
      第11回制御部門大会
    • Place of Presentation
      琉球大学
    • Year and Date
      2011-03-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] 二乗和に基づく制御系解析および設計2011

    • Author(s)
      市原裕之
    • Organizer
      第3回日本数式処理学会理論分科会
    • Place of Presentation
      新潟大学駅南キャンパス「ときめいと」
    • Year and Date
      2011-02-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 関数の多項式近似に基づく非多項式システムの安定性解析2010

    • Author(s)
      市原裕之
    • Organizer
      第39回制御理論シンポジウム
    • Place of Presentation
      ホテルコスモスクエア国際交流センター
    • Year and Date
      2010-09-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Symbolic-Numeric Approach to Nonlinear Gain Analaysis of a Class of Dynamical Systems, Proc.2010

    • Author(s)
      H.Ichihara, H.Anai.
    • Organizer
      of 2010 IEEE Multi-Conference on Systems and Control(pp.1708-1713)
    • Place of Presentation
      Yokohama
    • Year and Date
      2010-09-10
    • Related Report
      2010 Final Research Report
  • [Presentation] A Symbolic-Numeric Approach to Nonlinear Gain Analaysis of a Class of Dynamical Systems2010

    • Author(s)
      H.Ichihara, H.Anai
    • Organizer
      2010 IEEE Multi-Conference on Systems and Control
    • Place of Presentation
      Yokohama
    • Year and Date
      2010-09-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] Attitude Control of Acrobot by Gain Scheduling Control Based on Sum of Squares, Proc.2010

    • Author(s)
      H.Ichihara, M.Kawata.
    • Organizer
      of 2010 American Control Conference(pp.6636-6643)
    • Place of Presentation
      Baltimore
    • Year and Date
      2010-07-02
    • Related Report
      2010 Final Research Report
  • [Presentation] Attitude Control of Acrobot by Gain Scheduling Control Based on Sum of Squares2010

    • Author(s)
      H.Ichihara, M.Kawata
    • Organizer
      2010 American Control Conference
    • Place of Presentation
      Baltimore
    • Year and Date
      2010-07-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] SOSに基づくアーム型倒立振子のゲインスケジューリング制御2010

    • Author(s)
      川田, 市原
    • Organizer
      第10回 計測自動制御学会 制御部門大会
    • Place of Presentation
      熊本大学工学部
    • Year and Date
      2010-03-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Necessary and Sufficient Conditions for Finite-Time Boundedness of Linear Continuous-Time Systems2009

    • Author(s)
      H.Ichihara, H.Katayama
    • Organizer
      Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Necessary and Sufficient Conditions for Finite-Time Boundedness of Linear Discrete-Time Systems2009

    • Author(s)
      H.Ichihara, H.Katayama
    • Organizer
      Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Sum of Squares Approach to Nonlinear Gain Analysis of a Class of Nonlinear Dynamical Systems, Proc.2009

    • Author(s)
      H.Ichihara, H.Anai.
    • Organizer
      the Joint Conference of ASCM 2009 and MACIS 2009 (COE Lecture Note Vol.22 : Kyushu University)(pp.374-377)
    • Place of Presentation
      Fukuoka
    • Year and Date
      2009-12-14
    • Related Report
      2010 Final Research Report
  • [Presentation] A Sum of Squares Approach to Nonlinear Gain Analysis of a Class of Nonlinear Dynamical Systems2009

    • Author(s)
      H.Ichihara, H.Anai
    • Organizer
      The Joint Conference of ASCM 2009 and MACIS 2009
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2009-12-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] SOSに基づくアクロボットのゲインスケジューリング制御-姿勢制御実験による検証-2009

    • Author(s)
      市原, 川田
    • Organizer
      第38回 制御理論シンポジウム
    • Place of Presentation
      ホラルコスモスクエア国際交流センター,大阪
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Computational Approach to Input-to-State Stability Analysis ofa Class of Nonlinear Systems, Proc.2009

    • Author(s)
      H.Ichihara
    • Organizer
      ICROS-SICE International Joint Conference(3914-3918)(extended abstract)
    • Place of Presentation
      Fukuoka
    • Year and Date
      2009-08-19
    • Related Report
      2010 Final Research Report
  • [Presentation] Computational Approach to Input-to-State Stability Analysis of a Class of Nonlinear Systems2009

    • Author(s)
      H.Ichihara
    • Organizer
      ICROS-SICE International Joint Conference
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2009-08-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Finite-Time Control for Linear Systems with Impulse Control2009

    • Author(s)
      H.Ichihara, H.Katayama
    • Organizer
      ICROS-SICE International Joint Conference
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2009-08-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Observer Design for Polynomial Systems with Bounded Disturbances, Proc.2009

    • Author(s)
      H.Ichihara
    • Organizer
      American Control Conference(5309-5314)
    • Place of Presentation
      St.Louis
    • Year and Date
      2009-06-12
    • Related Report
      2010 Final Research Report
  • [Presentation] Observer Design for Polynomial Systems with Bounded Disturbances2009

    • Author(s)
      H.Ichihara
    • Organizer
      American Control Conference
    • Place of Presentation
      St.Louis, Missouri, USA
    • Year and Date
      2009-06-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] Finite-Time Control for Linear Systems with Input Constraints2009

    • Author(s)
      H.Ichihara, H.Katayama
    • Organizer
      American Control Conference
    • Place of Presentation
      St.Louis, Missouri, USA
    • Year and Date
      2009-06-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Finite-Time Control for Linear Discrete-Time Systems with Input Constraints2009

    • Author(s)
      H.Ichihara, H.Katayama
    • Organizer
      American Control Conference
    • Place of Presentation
      St.Louis, Missouri, USA
    • Year and Date
      2009-06-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] State Feedback Synthesis for Polynomial Systems with Bounded Disturbances, Proc.2008

    • Author(s)
      H.Ichihara
    • Organizer
      Conference on Decision and Control(2520/2525)
    • Place of Presentation
      Cancun
    • Year and Date
      2008-12-10
    • Related Report
      2010 Final Research Report
  • [Presentation] State Feedback Synthesis for Polynomial Systems with Bounded Disturbances2008

    • Author(s)
      Hiroyuki Ichihara
    • Organizer
      47^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      Cancun, Mexico
    • Year and Date
      2008-12-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形ジャンプシステムに対するFinite Time Contro12008

    • Author(s)
      市原裕之, 片山仁志
    • Organizer
      第37回制御理論シンポジウム
    • Place of Presentation
      霧島いわさきホテル
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Finite Time Control for Linear Discrete-time Systems2008

    • Author(s)
      Hitoshi Katayama and Hiroyuki Ichihara
    • Organizer
      Mathematical Theory of Networks and Systems 2008
    • Place of Presentation
      Virginia Tech. Virginia, USA
    • Year and Date
      2008-07-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] State Feedback Synthesis for Polynomial Systems with Bounded Disturbances2008

    • Author(s)
      Hiroyuki Ichihara
    • Organizer
      Mathematical Theory of Networks and Systems 2008
    • Place of Presentation
      Virginia Tech. Virginia, USA
    • Year and Date
      2008-07-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形離散時間システムに対するFinite Time Boundedllessの必要十分条件2008

    • Author(s)
      市原裕之, 片山仁志
    • Organizer
      第9回計測自動制御学会制御部門大会
    • Place of Presentation
      広島大学総合科学部
    • Year and Date
      2008-03-05
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      https://sites.google.com/site/hpohichihara/

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      https://sites.google.com/site/hpohichihara/

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      https://sites.google.com/site/hpohichihara/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://olive.ces.kyutech.ac.jp/ichihara/

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi