A unified approach to nonlinear optimal control problems and evolutionary design methods

• Project/Area Number: 24560551
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering
• Research Institution: Osaka Prefecture University
• Principal Investigator: IMAE Joe 大阪府立大学, 工学(系)研究科(研究院), 教授 (30184807)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 統一理論 / ハイブリッド最適制御 / HJB方程式 / 非可微分関数 / フィードバック制御 / 進化型計算 / 非可微分最適制御問題 / 統一設計法 / 接空間リアプノフ安定論 / 進化型設計法 / 非線形最適制御問題 / ＨＪＢ方程式 / ハイブリッド最大原理 / デスクリプタ表現 / ディスクリプタ表現 / SDRE設計法

Outline of Final Research Achievements

A unified approach to the optimal problems with the free terminal-time, free initial　states,　free　design　parameters，state/control constraints and hybrid dynamics is given.　A design　method　with　non-differentibale HJB equations is also given. Moreover, from an evolutionary point of view, a functional observer is investgated. From a practical point of view, the stability property on the tangent space is also investigated.

Research Products

• [Presentation] A Design Method with Differentiability for Optimal Controil Problems with Non-Differential Hamilton-Jacobi Equations (2015)
  • Author(s): Joe Imae, Norito Kanda, Tomoaki Kobayashi
  • Organizer: Peoceedings of the 3rd International Conference on Manufacturing, Optimization, Industrial and Material Engineering 2015
  • Place of Presentation: Bali, Indonesia
  • Year and Date: 2015-03-28 – 2015-03-29
• [Presentation] Optimal Feedback Control of Nonlinear Systems with a Finite Horizon Based on HJ Equations (2015)
  • Author(s): Joe Imae, Masaaki Kawanoue, Tomoaki Kobayashi
  • Organizer: Proceedings of 2015 IEEE International Conference on Industrial Technology
  • Place of Presentation: Sevilla, Spain
  • Year and Date: 2015-03-17 – 2015-03-19
• [Presentation] Hybrid Optimal Control Design via Nonlinear Virtual Systems (2014)
  • Author(s): Joe Imae, Yuki Kuwabara, Tomoaki Kobayashi,
  • Organizer: Proceedings of SICE Annual Conference 2014
  • Place of Presentation: 北海道大学
  • Year and Date: 2014-09-10 – 2014-09-12
• [Presentation] Optimal Control Design for Nonlinear Descriptor Systems via Computational Techniques (2013)
  • Author(s): Joe Imae, Ryohei Ueda, Tomoaki Kobayashi
  • Organizer: SICE Annual conference（計測自動制御学会年次大会）
  • Place of Presentation: 名古屋大学
• [Presentation] Practical Backsteping Design for Nonlinear Descriptor Systems (2013)
  • Author(s): Tomoaki Kobayashi, Hiroki Kashiwagi, Joe Imae
  • Organizer: SICE Annual conference（計測自動制御学会年次大会）
  • Place of Presentation: 名古屋大学
• [Presentation] 量子状態の純粋化における連続測定下の最適制御 (2013)
  • Author(s): 井前 讓，竹中 唯，小林友明
  • Organizer: 日本機械学会関西支部 第88期定時総会講演会
  • Place of Presentation: 大阪工業大学
• [Presentation] 拡張SDRE法に基づく実用的な非線形制御系設計 (2013)
  • Author(s): 小林友明，曽田明秀，井前讓
  • Organizer: 日本機械学会関西支部 第88期定時総会講演会
  • Place of Presentation: 大阪工業大学