Theoretical and Numerical Studies on Stabilization and Decay Rate Estimation of Hyperbolic Boundary Control Systems

• Project/Area Number: 20540123
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kagoshima University
• Principal Investigator: SANO Hideki Kagoshima University, 大学院・システム情報学研究科, 准教授 (70278737)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000); Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 双曲型システム / 境界制御 / 安定化 / 半群 / 天井クレーン / 並流型熱交換方程式 / プラグフロー反応方程式 / 放物型システム / 境界観測 / 有限次元コントローラ / 有限差分モデル / デスクリプタシステム / LQレギュレータ

Research Abstract

Through this study, three main results were obtained. They are summarized as follows: (1) Establishment of optimization method of parameters contained in the stabilizing control law for an overhead crane; (2) Design method of stabilizing controllers for a parallel-flow heat exchange process using a backstepping approach; (3) Design method of finite-dimensional stabilizing controllers for a plug-flow reactor process.

Research Products

• [Journal Article] Neumann boundary stabilization of a coupled transport-diffusion system with boundary outputs : a backstepping approach (2011)
  • Author(s): Hideki Sano
  • Journal Title: Advances in Differential Equations and Control Processes Vol.7, No.1 Pages: 1-14
  • Peer Reviewed
• [Journal Article] Neumann boundary control of a coupled transport-diffusion system with boundary observation (2011)
  • Author(s): Hideki Sano
  • Journal Title: Journal of Mathematical Analysis and Applications Vol.377 Pages: 807-816
  • Peer Reviewed
• [Journal Article] Neumann boundary control of a coupled transport-diffusion system with boundary observation (2011)
  • Author(s): Hideki Sano
  • Journal Title: Journal Mathematical Analysis and Applications Volume: Vol.377 Pages: 807-816
  • Peer Reviewed
• [Journal Article] Neumann boundary stabilization of a coupled transport-diffusion system with boundary outputs : a backstepping approach (2011)
  • Author(s): Hideki Sano
  • Journal Title: Advances in Differential Equations and Control Processes Volume: (印刷中)
  • Peer Reviewed
• [Journal Article] Stabilization of a coupled transport-1.522.5Case 1Case 2Case 31.522.5Case 1Case 2Case 3 diffusion system with boundary input (2010)
  • Author(s): Hideki Sano, Shin-ichi Nakagiri
  • Journal Title: Journal of Mathematical Analysis and Applications Vol.363 Pages: 57-72
  • Peer Reviewed
• [Journal Article] Stabilization of a coupled transport-diffusion system with boundary input (2010)
  • Author(s): Hideki Sano, Shin-ichi Nakagiri
  • Journal Title: Journal of Mathematical Analysis and Applications Vol.363 Pages: 57-72
  • Peer Reviewed
• [Journal Article] Supplement to: 'Boundary stabilization of hyperbolic systems related to overhead cranes' [H. Sano, IMA J. Math. Control Inf.(2008) vol.25, 353-366,doi:10.1093/imamci/dnm031] (2009)
  • Author(s): Hideki Sano
  • Journal Title: IMA Journal of Mathematical Control and Information Vol.26 Pages: 231-237
  • Peer Reviewed
• [Journal Article] Supplement to : 'Boundary stabilization of hyperbolic systems related to overhead cranes' [H.Sano, IMA J.Math. Control Inf.(2008)vol. 25, 353-366, doi : 10.1093/imamci/dnm031] (2009)
  • Author(s): Hideki Sano
  • Journal Title: IMA Journal of Mathematical Control and Information Vol.26 Pages: 231-237
  • Peer Reviewed
• [Journal Article] Boundary stabilization of a string with two rigid loads : calculation of optimal feedback gain based on a finite difference approximation (2008)
  • Author(s): Hideki Sano
  • Journal Title: International Journal of Mathematical Models and Methods in Applied Sciences Vol.2 Pages: 513-522
  • Peer Reviewed
• [Journal Article] Boundary stabilization of a string with two rigid loads : calculation ofoptimal feedback gain based on a finite difference approximation (2008)
  • Author(s): Hideki Sano
  • Journal Title: International Journal of Mathematical Models and Methods in Applied Sciences Vol. 2 Pages: 513-522
  • Peer Reviewed
• [Presentation] Switching control of parallel-flow heat exchange processes (2010)
  • Author(s): 佐野英樹
  • Organizer: The 9th WSEAS International Conference on System Science and Simulation in Engineering
  • Place of Presentation: Hotel Appi Grand, Iwate, Japan.
  • Year and Date: 2010-10-04
• [Presentation] Switching control of parallel-flow heat exchange processes (2010)
  • Author(s): Hideki Sano
  • Organizer: The 9^<th> WSEAS International Conference on System Science and Simulation in Engineering
  • Place of Presentation: Hotel Appi Grand, Iwate, Japan
  • Year and Date: 2010-10-04
• [Presentation] Stabilization of a coupled transport-diffusion system : a case with boundary control and boundary observation (2010)
  • Author(s): 佐野英樹
  • Organizer: 神戸数学的制御理論研究集会
  • Place of Presentation: 神戸大学瀧川記念会館.
  • Year and Date: 2010-01-08
• [Presentation] Feedback control of parallel-flow heat exchanger equations using a forward-stepping method (2009)
  • Author(s): 佐野英樹, 中桐信一
  • Organizer: The 14th WSEAS International Conference on Applied Mathematics
  • Place of Presentation: Puerto De La Cruz, Tenerife, Canary Islands, Spain.
  • Year and Date: 2009-12-16
• [Presentation] Feedback control of parallel-flow heat exchanger equations using a forw ardstepping method (2009)
  • Author(s): Hideki Sano, Shin-ichi Nakagiri
  • Organizer: The 14^<th> WSEAS International Conference on Applied Mathematics
  • Place of Presentation: Puerto De La Cruz, Tenerife, Canary Islands, Spain
  • Year and Date: 2009-12-16
• [Presentation] Stabilization of a string with two rigid loads : application of optimal feedback gain based on a finite difference approximation (2008)
  • Author(s): 佐野英樹
  • Organizer: The 13th WSEAS International Conference on Applied Mathematics
  • Place of Presentation: Puerto De La Cruz, Tenerife, Canary Islands, Spain.
  • Year and Date: 2008-12-16
• [Presentation] 境界入力をもつ移流拡散方程式系の安定化 (2008)
  • Author(s): 佐野英樹, 中桐信一
  • Organizer: 京都大学数理解析研究所研究集会「関数方程式のダイナミクスと数理モデル」
  • Year and Date: 2008-11-06
• [Presentation] Stabilization of a string with two rigid loads : application of optimal feedback gain based on a finite difference approximation (2008)
  • Author(s): Hideki Sano
  • Organizer: The 13^<th> WSEAS International Conference on Applied Mathematics
  • Place of Presentation: Puerto De La Cruz, Tenerife, Canary Islands, Spain