Hybrid Parametric Optimization Based on Algebraic Methods and Numerical Optimization

• Project/Area Number: 21860037
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Niigata University
• Principal Investigator: KANNO Masaaki Niigata University, 自然科学系, 准教授 (80554261)
• Project Period (FY): 2009 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,678,000 (Direct Cost: ¥2,060,000、Indirect Cost: ¥618,000); Fiscal Year 2010: ¥1,274,000 (Direct Cost: ¥980,000、Indirect Cost: ¥294,000); Fiscal Year 2009: ¥1,404,000 (Direct Cost: ¥1,080,000、Indirect Cost: ¥324,000)
• Keywords: 制御工学 / 代数的手法 / パラメトリック最適化

Research Abstract

A symbolic-numeric hybrid optimization approach is proposed for the plant/controller integrated design problem. The approach effectively combines the merits of both algebraic methods and numerical optimization techniques. An algebraic approach for polynomial spectral factorization in the delta domain is further developed that enables sensitivity analysis against parameters including the sampling period, which expands the applicability of the proposed hybrid optimization approach.

Research Products

• [Journal Article] Plant/Controller Design Integration for H_2 Control Based on Symbol-ic-numeric Hybrid Optimization (2011)
  • Author(s): M.Kanno, S.Hara, H.Anai
  • Journal Title: Communication in Information and Systems Vol.11 Pages: 281-306
  • Peer Reviewed
• [Journal Article] Plant/Controller Design Integration for HR Control Based on Symbolic-numeric Hybrid Optimization (2011)
  • Author(s): M.Kanno, S.Hara, H.Anai
  • Journal Title: Communications in Information and Systems Volume: 11 Pages: 281-306
  • Peer Reviewed
• [Presentation] δ領域の多項式スペクトル分解を用いたサンプリング周期を陽に考慮するディジタル系最適設計 (2011)
  • Author(s): 管野、原
  • Organizer: 第11回制御部門大会
  • Place of Presentation: 琉球大学、沖縄
  • Year and Date: 2011-03-16
• [Presentation] δ領域の多項式スペクトル分解を用いたサンプリング周期を陽に考慮するディジタル系最適設計 (2011)
  • Author(s): 管野政明, 原辰次
  • Organizer: 第11回制御部門大会
  • Place of Presentation: 琉球大学,沖縄
  • Year and Date: 2011-03-16
• [Presentation] 代数的手法に基づくδ領域での多項式スペクトル分解 (2010)
  • Author(s): 管野、原
  • Organizer: 第39回制御理論シンポジウム
  • Place of Presentation: コスモスクエア国際交流センター、大阪
  • Year and Date: 2010-09-27
• [Presentation] 代数的手法に基づくδ領域での多項式スペクトル分解 (2010)
  • Author(s): 管野政明, 原辰次
  • Organizer: 第39回制御理論シンポジウム
  • Place of Presentation: コスモスクエア国際交流センター,大阪
  • Year and Date: 2010-09-27
• [Presentation] Algebraic Approach to Sensitivity Analysis in Optimal Feedback Control System Design (2010)
  • Author(s): M. Kanno, S. Hara, R. Nakamura, M.Matsubara
  • Organizer: 2010 IEEE Multi-Conference on Systems and Control
  • Place of Presentation: Pacifico Yokohama
  • Year and Date: 2010-09-10
• [Presentation] H_2 Model Reduction Using an Algebraic Approach (2010)
  • Author(s): Masaaki Kanno
  • Organizer: SICE Annual Conference, 2010
  • Place of Presentation: Taipei, Taiwan
  • Year and Date: 2010-08-21
• [Presentation] H_2 Model Reduction Using an Algebraic Approach (2010)
  • Author(s): M.Kanno
  • Organizer: SICE Annual Conference 2010
  • Place of Presentation: Taipei,Taiwan
  • Year and Date: 2010-08-21
• [Presentation] Transfer Functions of Closed Loop Systems in H_2 Optimal Control (2009)
  • Author(s): H.Tanaka, K.Tsumura, M.Kanno
  • Organizer: 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference
  • Place of Presentation: Shanghai, China
  • Year and Date: 2009-12-17
• [Presentation] Transfer Functions of Closed Loop Systems in H_2 Optimal Control (2009)
  • Author(s): H.Tanaka, K.Tsumura, M.Kanno
  • Organizer: 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference
  • Place of Presentation: 中国,上海
  • Year and Date: 2009-12-17