MODEL ORDER REDUCTION FOR COMPLICATED NONLINEAR SYSTEMS

• Project/Area Number: 18760317
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Nagoya University
• Principal Investigator: FUJIMOTO Kenji Nagoya University, 大学院・工学研究科, 准教授 (10293903)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥3,860,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥360,000); Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000); Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
• Keywords: モデル低次元化 / 非線形システム / Galerkin近似 / 有限次元近似 / 特異値解析 / 非線形制御 / 数値計算 / 偏微分方程式

Research Abstract

本研究では、複雑な非線形システムのモデル低次元化に関する2つの成果を得た。具体手には、の柔軟構造物や流体などの無限次元システムを有限次元システムで近似する問題に対して、モデル低次元化手法と同様の手順を用いる手法の提案、(2)通常計算が難しい非線形モデル低次元化法の効率的な計算手法の開発、の2点である。

Research Products

• [Journal Article] 確率ポートハミルトン系の受動性に基づく制御 (2008)
  • Author(s): 佐藤訓志, 藤本健治
  • Journal Title: 計測自動制御学会論文集 vol.44 Pages: 694-677
  • NAID: 10021990949
  • Peer Reviewed
• [Journal Article] Balanced realization and model order reduction for port-Hamiltonian systems (2008)
  • Author(s): K. Fujimoto
  • Journal Title: Journal of System Design and Dynamics vol.2 Pages: 694-702
  • NAID: 130000098826
  • Peer Reviewed
• [Journal Article] H∞フィルタを用いた非最小位相系の独立成分分析 (2008)
  • Author(s): 福永修一, 藤本健治
  • Journal Title: 電子情報通信学会論文誌D vol. J91-D Pages: 1648-1655
  • Peer Reviewed
• [Journal Article] Computation of nonlinear balanced realization and model order reduction based on Taylor series expansion (2008)
  • Author(s): K. Fujimoto and D. Tsubakino
  • Journal Title: Systems and Control Letters vol.57 Pages: 283-289
  • Peer Reviewed
• [Journal Article] ハミルトン力学系の対称軌道族と2足歩行の大域的歩容生成への応用 (2008)
  • Author(s): 玄相昊, 藤本健治
  • Journal Title: 日本ロボット学会誌 vol.26 Pages: 72-80
  • NAID: 10021142486
  • Peer Reviewed
• [Journal Article] 無限次元非線形系の平衡実現と有限次元近似について (2008)
  • Author(s): 藤本健治, 小野佐弥香
  • Journal Title: 計測自動制御学会論文集 vol.44 Pages: 243-251
  • NAID: 10021990113
  • Peer Reviewed
• [Journal Article] Chebyshev多項式を用いたHamilton-Jacobi方程式の近似解法 (2008)
  • Author(s): 水野光, 藤本健治
  • Journal Title: 計測自動制御学会論文集 vol.44 Pages: 113-118
  • Peer Reviewed
• [Journal Article] 非線形系の重み付き平衡実現とモデル低次元化 (2008)
  • Author(s): 椿野大輔, 藤本健治
  • Journal Title: 計測自動制御学会論文集 vol.44 Pages: 44-51
  • NAID: 10020126941
  • Peer Reviewed
• [Journal Article] ハミルトン系の変分対称性に基づく学習最適制御 (2008)
  • Author(s): 藤本健治, 堀内哲
  • Journal Title: システム制御情報学会論文集 vol.21 Pages: 10-17
  • NAID: 10020212718
  • Peer Reviewed
• [Journal Article] 確率ポート・ハミルトン系の受動性に基づく制御 (2008)
  • Author(s): 佐藤訓志・藤本健治
  • Journal Title: 計測自動制御学会論文集 44 Pages: 670-677
  • NAID: 10021990949
  • Peer Reviewed
• [Journal Article] Balanced realization and model order reduction for port-Hamiltonian systems (2008)
  • Author(s): K. Fujimoto
  • Journal Title: Journal of System Design and Dynamics 2 Pages: 694-702
  • NAID: 130000098826
  • Peer Reviewed
• [Journal Article] H∞フィルタを用いた非最小位相系の独立成分分析 (2008)
  • Author(s): 福永修一・藤本健治
  • Journal Title: 電子情報通信学会論文誌D J91-D Pages: 1648-1655
  • Peer Reviewed
• [Journal Article] Computation of nonlinear balanced realization and model reduction based on Taylor series expansion (2008)
  • Author(s): K. Fujimoto and D. Tsubakino
  • Journal Title: Systems & Control Letters 57 Pages: 283-289
  • Peer Reviewed
• [Journal Article] ハミルトン力学系の対称軌道族と2足歩行の大域的歩容生成への応用 (2008)
  • Author(s): 玄相昊・藤本健治
  • Journal Title: 日本ロボット学会誌 26 Pages: 72-80
  • NAID: 10021142486
  • Peer Reviewed
• [Journal Article] Computation of nonhnear balanced realization and model reduction based on Taylor series expansion (2008)
  • Author(s): K. Fujimoto and D. Tsubakino
  • Journal Title: Systems & Control Letters 57 Pages: 283-289
  • Peer Reviewed
• [Journal Article] Chebyshev多項式を用いたHamilton-Jacobi方程式の近似解法 (2008)
  • Author(s): 水野・藤本
  • Journal Title: 計測自動制御学会論文集, 44 Pages: 113-118
  • Peer Reviewed
• [Journal Article] 非線形系の重み付き平衡実現とモデル低次元化 (2008)
  • Author(s): 椿野・藤本
  • Journal Title: 計測自動制御学会論文集, 44 Pages: 44-51
  • NAID: 10020126941
  • Peer Reviewed
• [Journal Article] ハミルトン系の変分対称性に基づく1脚ロボットの最適歩容生成 (2007)
  • Author(s): 佐藤訓, 藤本健治, 玄相昊
  • Journal Title: 計測自動制御学会論文集 vol. 43 Pages: 1103-1110
  • NAID: 10020028456
  • Peer Reviewed
• [Journal Article] 状態空間モデルを用いた非線形独立成分分析 (2007)
  • Author(s): 福永修一, 藤本健治
  • Journal Title: システム制御情報学会論文集 vol.20 Pages: 404-412
  • NAID: 10019638821
  • Peer Reviewed
• [Journal Article] 受動性を利用した車輪振子系の事変高速制御 (2007)
  • Author(s): 藤本健治, 松本慎也, 酒井悟
  • Journal Title: システム制御情報学会論文集 vol.20 Pages: 416-418
  • Peer Reviewed
• [Journal Article] 変分対称性を利用したハミルトン系の繰り返し制御について (2007)
  • Author(s): 藤本健治, 佐藤訓志
  • Journal Title: 計測自動制御学会論文集 vol.43 Pages: 711-718
  • Peer Reviewed
• [Journal Article] 平衡実現に基づく非線形モデル低次元化の計算法について (2007)
  • Author(s): 藤本健治, 椿野大輔
  • Journal Title: システム制御情報学会論文集 vol.20 Pages: 358-360
  • NAID: 10019707799
  • Peer Reviewed
• [Journal Article] メカトロニクス系の平衡実現とモデル低次元化 (2007)
  • Author(s): 藤本健治
  • Journal Title: 日本機器学会論文集C編 vol.73 Pages: 1081-1087
  • Peer Reviewed
• [Journal Article] Weighted balanced truncation for unstable nonlinear systems using coprime factorizations (2006)
  • Author(s): K.Fujimoto, H.Mizuno
  • Journal Title: Proceedings of IEEE Conference on Decision and Control Pages: 3843-3848
• [Journal Article] Nonlinear blind deconvolution based on a state-space model (2006)
  • Author(s): S.Fukunaga, K.Fujimoto
  • Journal Title: Proceedings of IEEE Conference on Decision and Control Pages: 6295-6300
• [Journal Article] Weighted balanced realization and model reduction for nonlinear systems (2006)
  • Author(s): D.Tsubakino, K.Fujimoto
  • Journal Title: Proceedings of Mathematical Theory of Networks and Systems Pages: 849-854
  • NAID: 10020126941
• [Journal Article] On computation of nonlinear balanced realization and model reduction (2006)
  • Author(s): K.Fujimoto, D.Tsubakino
  • Journal Title: proceedings of American Control Conference Pages: 460-465
  • NAID: 120000975981
• [Presentation] On passivity based control of stochastic port-Hamiltonian systems (2008)
  • Author(s): S. Satoh and K. Fujimoto
  • Organizer: Proc. IEEE Conf. on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] Passive trajectory tracking control for port-Hamiltonian systems (2008)
  • Author(s): K. Fujimoto and M. Taniguchi
  • Organizer: Proc. IEEE Conf. on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] On balanced realization and finite-dimensional approximation for infinite-dimensional nonlinear systems (2008)
  • Author(s): K. Fujimoto and S. Ono
  • Organizer: Proc. IEEE Conf. on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] On passivity based control of stochastic port-Hamiltonian systems (2008)
  • Author(s): S. Satoh and K. Fujimoto
  • Organizer: IEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] Passive trajectory control for port-Hamiltonian systems (2008)
  • Author(s): K. Fujimoto and M. Taniguchi
  • Organizer: IEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] On balanced realization and finite-dimentional approximation for infinite-dimensional nonlinear systems (2008)
  • Author(s): K. Fujimoto and S. Ono
  • Organizer: IIEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-10
• [Presentation] A framework for optimal gait generation via learning optimal control using virtual constraint (2008)
  • Author(s): S. Satoh, K. Fujimoto and S.-H. Hyon
  • Organizer: Proc. IEEE/RSJ Inter. Conf. on Intelligent Robotics
  • Place of Presentation: Nice, France
  • Year and Date: 2008-09-23
• [Presentation] A framework for optimal gait generation via learning optimal control using virtual constraint (2008)
  • Author(s): S. Satoh, K. Fujimoto and S. Hyon
  • Organizer: IEEE/RSJ International Conference on Intelligent Robots and Systems
  • Place of Presentation: Nice, France
  • Year and Date: 2008-09-23
• [Presentation] Iterative feedback tuning for Hamiltonian systems (2008)
  • Author(s): K. Fujimoto and I. Koyama
  • Organizer: Proc. 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-11
• [Presentation] Iterative feedback tuning for Hamiltonian systems (2008)
  • Author(s): K. Fujimoto and I. Koyama
  • Organizer: the 17 th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-11
• [Presentation] Independent component analysis for nonminimum phase systems using H infinity filters (2008)
  • Author(s): S. Fukunaga and K. Fujimoto
  • Organizer: Proc 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-10
• [Presentation] Independent component analysis for nonminimum phase systems using H infinity filters (2008)
  • Author(s): S. Fukunaga and K. Fujimoto
  • Organizer: the 17 th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-10
• [Presentation] Biped gait generation via iterative learning control including discrete state transisions (2008)
  • Author(s): S. Satoh, K. Fujimoto and S. -H. Hyon
  • Organizer: the 17 th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-07
• [Presentation] Balanced realization and model reduction of port-Hamiltonian systems (2007)
  • Author(s): K. Fujimoto and H. Kajiura
  • Organizer: Proc. American Control Conference
  • Place of Presentation: New York, USA
  • Year and Date: 2007-07-11
• [Presentation] Biped gait generation via iterative learning control including discrete state transitions (2007)
  • Author(s): S. Satoh, K. Fujimoto and S.-H. Hyon
  • Organizer: Proc. 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2007-07-07
• [Presentation] Balanced realization and model reduction of port-Hamiltonian systems (2007)
  • Author(s): K. Fujimoto and H. Kajiura
  • Organizer: Proceedings of American Control Conference
  • Place of Presentation: New York, USA
• [Presentation] Weighted balanced truncation for unstable nonlinear systems using coprime factorizations (2006)
  • Author(s): K. Fujimoto and H. Mizuno
  • Organizer: Proc. IEEE Conf. on Decision and Control
  • Place of Presentation: San Diego, USA
  • Year and Date: 2006-12-13
• [Presentation] Nonlinear blind deconvolution based on a state-space model (2006)
  • Author(s): S. Fukunaga and K. Fujimoto
  • Organizer: Proc. IEEE Conf. on Decision and Control
  • Place of Presentation: San Diego, USA
  • Year and Date: 2006-12-13
• [Presentation] Weighted balanced realization and model order reduction for nonlinear systems (2006)
  • Author(s): D. Tsubakino and K. Fujimoto
  • Organizer: Proc. Mathematical Theory of Networks and Systems
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2006-07-24
• [Presentation] On computation of nonlinear balanced realization and model reduction (2006)
  • Author(s): K. Fujimoto and D. Tsubakino
  • Organizer: Proc. American Control Conference
  • Place of Presentation: Minneapolis, USA
  • Year and Date: 2006-06-14
• [Book] Model order reduction (2008)
  • Author(s): W. H. A. Schilders, H. A. van der Vorst and J. Rommes Eds.
  • Publisher: Springer
• [Book] Model Order Reduction (2008)
  • Author(s): W. H. A. Schilders, H. A. van der Vorst and J. Rommes Eds.
  • Publisher: Springer
• [Book] Lagrangian and Hamiltonian ethods for Nonlinear Control 2006 (2007)
  • Author(s): F. Bullo and K. Fujimoto Eds.
  • Total Pages: 396
  • Publisher: Springer
• [Book] Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 (2007)
  • Author(s): F. Bullo and K. Fujimoto (Eds.)
  • Total Pages: 396
  • Publisher: Springer-Verlag
• [Book] 機械工学便覧, デザイン編β6 (2006)
  • Author(s): 日本機械学会, 編
  • Publisher: 丸善
• [Remarks] ホームページ等
  • URL: http://www.haya.nuem.nagoya-u.ac.jp/~fujimoto/
• [Remarks]
  • URL: http://www.haya.nuem.nagoya-u.ac.jp/-fujimoto/