Research on new methods of model representation and control for time-varying systems

• Project/Area Number: 17560391
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: Osaka University
• Principal Investigator: OHARA Atsumi Osaka University, 基礎工学研究科, 准教授 (90221168)
• Project Period (FY): 2005 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥2,830,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥330,000); Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000); Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
• Keywords: システム制御工学 / 非線形・時変システム / モデリング / 非線形性 / システムモデリング / 計算手法(内点法) / 制御工学 / 時変システム / 偏微分行列不等式

Research Abstract

自然界や工学応用で現れる様々な非線形な現象やシステムのふるまいの理解と利用は, 広い分野に重要な波及効果がある. 本研究ではこのような目的のために必要となるモデルの表現や制御の方法に関する研究を主に, そこで必要となるアルゴリズムの創出と評価法の研究を従としておこなった. 主な具体的成果は, 設計に必要な計算量とモデリングの精度のバランスを考慮できるモデル表現の提案, アルゴリズムの計算複雑度の解析, 非線形拡散現象の新しい性質の発見とエントロピーによるその定量的な理解である.

Research Products

• [Journal Article] Geometric Study for the Legendre Duality of Generalized Entropies and Its Application to the Porous Medium Equation (2009)
  • Author(s): Atsumi Ohara
  • Journal Title: European Physical Journal B Vol.69(in press)
  • Peer Reviewed
• [Journal Article] 内点法と情報幾何, 数学セミナー (2008)
  • Author(s): 土谷隆, 小原敦美
  • Journal Title: Vol.47, No.3/558 Pages: 38-43
• [Journal Article] Geometry of Distributions Associated with Tsallis Statisticsand Properties of Relative Entropy Minimization (2008)
  • Author(s): Atsumi Ohara
  • Journal Title: Physics Letters A 370 Pages: 184-193
  • Peer Reviewed
• [Journal Article] 内点法と情報幾何 (2008)
  • Author(s): 土谷隆, 小原敦美
  • Journal Title: 数学セミナー 47 Pages: 38-43
  • NAID: 40015850849
• [Journal Article] Geometry of Distributions Associated with Tsallis Statistics and Properties of Relative Entropy Minimization (2007)
  • Author(s): Atsumi Ohara
  • Journal Title: Physics Letters A Vol.370, No.3-4 Pages: 184-193
  • Peer Reviewed
• [Journal Article] Geometry of Distributions Associated with Tsallis Statistics and Properties of Relative Entropy Minimization (2007)
  • Author(s): Atsumi Ohara
  • Journal Title: Physics Letters A 370 Pages: 184-193
  • Peer Reviewed
• [Journal Article] ロバスト行列不等式のシステム制御への応用 (2005)
  • Author(s): 増淵泉, 小原敦美
  • Journal Title: 計測と制御 Vol.44, No.8 Pages: 561-567
  • NAID: 10019037536
• [Journal Article] 数理計画法アプローチで新地平を拓く制御理論 (2005)
  • Author(s): 小原敦美
  • Journal Title: 計測と制御 Vol.44, No.8 Pages: 515-518
  • NAID: 10019037391
• [Presentation] Stabilization as a nonnegative linear systemvia polyhedral computations (2009)
  • Author(s): A. Ohara & Y. Ikenoshita
  • Organizer: 第8回制御部門大会
  • Place of Presentation: 京都大学
  • Year and Date: 2009-03-06
• [Presentation] ハミルトン系の変分対称性条件とその反復学習制御への適用に関する考察(466-469) (2008)
  • Author(s): 高尾, 小原
  • Organizer: 第51回自動制御連合講演会予稿集
  • Place of Presentation: 山形大学
  • Year and Date: 2008-11-22
• [Presentation] Geometric Aspects of a Certain Type of Nonlinear Diffusion Equations (2008)
  • Author(s): Atsumi Ohara and Tatsuaki Wada
  • Organizer: Proc. Of the Int. Symp. On Nonlinear Theory and its Applications
  • Place of Presentation: Budapest(488-491)
  • Year and Date: 2008-09-10
• [Presentation] Geometric aspects and the Legendre structure of generalized entropies(プロシーディングス無し) (2008)
  • Author(s): Atsumi Ohara
  • Organizer: Int. Conf. in Stat. Phys
  • Place of Presentation: Chania
  • Year and Date: 2008-07-17
• [Presentation] Stabilization as a nonnegative linear system via polyhedral computations (2008)
  • Author(s): A. Ohara & Y. Ikenoshita
  • Organizer: 第8回制御部門大会
  • Place of Presentation: 京都大学
  • Year and Date: 2008-03-06
• [Presentation] Geometry Induced from V-potential Function on Positive Definite Matrices(プロシーディングス無し) (2006)
  • Author(s): Atsumi Ohara and Shinto Eguchi
  • Organizer: ILAS Conference
  • Place of Presentation: Amsterdam
  • Year and Date: 2006-07-20
• [Presentation] Tsallis相対エントロピーの勾配流について(25-30) (2006)
  • Author(s): 小原
  • Organizer: 電子情報通信学会信学技法NLP2006-07
  • Place of Presentation: 金沢
  • Year and Date: 2006-07-04
• [Presentation] ロバスト安定性を考慮したLPVモデル構成及び同定点設計と非線形系軌道制御への応用 (2006)
  • Author(s): 小原, 久保田, 吉田
  • Organizer: 第6回計測自動制御学会制御部門大会資料
  • Place of Presentation: 名古屋(533-536)
  • Year and Date: 2006-05-31
• [Presentation] ロバスト安定性を考慮したLPVモデルの同定計画(129-132) (2005)
  • Author(s): 吉田, 久保田, 小原
  • Organizer: 第34回制御理論シンポジウム予稿集
  • Place of Presentation: 大阪
  • Year and Date: 2005-10-31
• [Presentation] Affine Differential Geometric Aspects of Tsallis Statistics(51-57) (2005)
  • Author(s): Atsumi Ohara
  • Organizer: Proc. of the Second Int. Symp. of Information Geometry and its Applications
  • Place of Presentation: Tokyo
  • Year and Date: 2005-10-12
• [Patent(Industrial Property Rights)] United States Patent7,008,344 (2006)
  • Inventor(s): Aikawa, et. al.
  • Industrial Property Rights Holder: Control apparatus for controlling a shift operation in an automatic transmission
  • Filing Date: 2006-03-07
• [Patent(Industrial Property Rights)] Inventors : Aikawa (2003)
  • Inventor(s): Akira (Aichi-ken, JP), Kato
  • Industrial Property Rights Holder: Hiroaki(Toyota, JP), Sato ; Katsutoshi(Toyoake, JP), Shirai ; Yasuo(Chiryu, JP), Ohara ; Atsumi(Ibaraki, JP)Assignee : Aisin Seiki Kabushiki Kaisha(Kariya, JP)
  • Filing Date: 2003-07-29