Basic researches on realization theory for errors-in-variables models

• Project/Area Number: 18760318
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Kyoto University
• Principal Investigator: TANAKA Hideyuki Kyoto University, 情報学研究科, 助教 (90303883)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥2,840,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥240,000); Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2007: ¥800,000 (Direct Cost: ¥800,000); Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
• Keywords: システム同定 / 有界誤差モデリング / 確率実現 / 不定実現 / 部分空間同定法 / リッカチ方程式 / ハマースタインモデル / 閉ループ同定 / Hammersteinモデル / システム固定 / リカッチ方程式 / 変数誤差モデル / 実現理論 / H∞フィルタ / 部分空間法 / J-スペクトル分解 / モデル集合

Research Abstract

モデルの集合を与えるような多入力多出力システムの同定のための基礎として,新たな実現理論を提案した.また,これまでにある実現理論(確率実現等)を進め,フィードバックもとでのシステム同定(閉ループ同定)や非線形システムの同定のためのアルゴリズムを導出した.

Research Products

• [Journal Article] 三角多項式を用いたHammersteinモデルの同定 (2009)
  • Author(s): 田中, 葉末
  • Journal Title: システム制御情報学会論文誌 vol. 22, no. 1 Pages: 13-20
  • NAID: 10024744372
  • Peer Reviewed
• [Journal Article] 三角多項式を用いたHammersteinモデルの同定 (2009)
  • Author(s): 田中,葉末
  • Journal Title: システム制御情報学会論文誌 22巻(1号) Pages: 13-20
  • NAID: 10024744372
  • Peer Reviewed
• [Journal Article] 静的非線形奇関数をもつHammersteinモデルの同定 (2007)
  • Author(s): 田中,葉末
  • Journal Title: システム制御情報学会論文誌 vol. 20, no. 11 Pages: 430-438
  • NAID: 10020212416
  • Peer Reviewed
• [Journal Article] An approach to closed-loop subspace identification by orthogonal decomposition (2007)
  • Author(s): T. Katayama and H. Tanaka
  • Journal Title: Automatica vol. 43, no. 9 Pages: 1623-1630
  • Peer Reviewed
• [Journal Article] Minimum phase properties of finite-interval stochastic realization (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Journal Title: Automatica vol. 43, no. 9 Pages: 1495-1507
  • Peer Reviewed
• [Journal Article] A stochastic realization algorithm via block LQ decomposition in Hilbert space (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Journal Title: Automatica vol. 42, no. 5 Pages: 741-746
  • Peer Reviewed
• [Journal Article] Minimum phase properties of finite-interval stochastic realization (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Journal Title: Automatica Vol.43, No.9 Pages: 1495-1507
  • Peer Reviewed
• [Journal Article] An approach to closed-loop subspace identification by orthogonal decomposition (2007)
  • Author(s): T. Katayama and H. Tanaka
  • Journal Title: Automatica Vol.43, No.9 Pages: 1623-1630
  • Peer Reviewed
• [Journal Article] 静的非線形奇関数をもつHammersteinモデルの同定 (2007)
  • Author(s): 田中, 葉末
  • Journal Title: システム制御情報学会論文誌 Vol.20, No.ll Pages: 430-438
  • NAID: 10020212416
  • Peer Reviewed
• [Journal Article] A stochastic realization algorithm via block LQ decomposition in Hilbert space (2007)
  • Author(s): H.Tanaka, T.Katayama
  • Journal Title: Automatica Vol.42,No.5 Pages: 741-746
• [Journal Article] Minimum phase properties of finite-interval stochastic realization (2007)
  • Author(s): H.Tanaka, T.Katayama
  • Journal Title: Automatica Vol.43(to appear)
• [Journal Article] Closed loop realization algorithms via a joint-input-output approach (2007)
  • Author(s): H.Tanaka, T.Katayama
  • Journal Title: Procs. of European Control Conference 2007 (to appear)
• [Journal Article] An approach to closed-loop subspase identification by orthogonal decomposition (2007)
  • Author(s): T.Katayama, H.Tanaka
  • Journal Title: Automatica Vol.43(to appear)
• [Journal Article] Identification of errors-in-variables models based on frequency domain power spectra (2006)
  • Author(s): H.Tanaka, T.Katayama
  • Journal Title: Proc.of the 45th IEEE Conference on Decision and Control (CDC 2006) Pages: 181-186
• [Presentation] An "Indefinite Realization" algorithm via Riccati differnce equation (to appear) (2009)
  • Author(s): H. Tanaka
  • Organizer: The 15th IFAC Symposium on System Identification (SYSID 2009)(査読のある国際会議)
  • Place of Presentation: Saint-Maio, France
  • Year and Date: 2009-07-06
• [Presentation] An "Indefinite realization" algorithm via Riccati difference equation (2009)
  • Author(s): H. Tanaka
  • Organizer: Preprints of the 15th IFAC Symposium on System Identification
  • Place of Presentation: Saint-Malo, France
• [Presentation] On the Riccati difference equation for stochastic realization (2008)
  • Author(s): H. Tanaka
  • Organizer: Proc. Of the 40th ISCIE International Symposium on Stochastic Systems Theory and Its Applications
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2008-11-14
• [Presentation] On the Riccati difference equation for stochastic realization (to appear in the proceedings of SSS'08) (2008)
  • Author(s): H. Tanaka
  • Organizer: The 15th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (SSS'08) (査続の有る国際会議)
  • Place of Presentation: Kyodai Kaikan, Kyoto, Japan
  • Year and Date: 2008-11-14
• [Presentation] 部分空間同定法を用いた閉ループ同定 (2008)
  • Author(s): 田中
  • Organizer: 日本鉄鋼協会若手フォーラム主催宿泊セミナー
  • Place of Presentation: 熱海「湯治館そよ風」
  • Year and Date: 2008-09-04
• [Presentation] 部分空間同定法を用いた閉ループ同定 (2008)
  • Author(s): 田中
  • Organizer: 日本鉄鋼協会若手フォーラム主催宿泊セミナー
  • Place of Presentation: 熱海「湯治館そよ風」(招待講演)
  • Year and Date: 2008-09-04
• [Presentation] 使える!部分空間同定法---基礎から応用まで--- (2008)
  • Author(s): 田中
  • Organizer: システム制御情報学会チュートリアル講座 2008
  • Place of Presentation: 学校法人 常翔学園 大阪センター
  • Year and Date: 2008-06-16
• [Presentation] 部分空間同定法に基づく閉ループ同定 (2008)
  • Author(s): 田中
  • Organizer: 使える!部分空間同定法-基礎から応用まで-システム制御情報学会チュートリアル講座2008
  • Place of Presentation: 学校法人常翔学園大阪センター(大阪)(招待講演)
  • Year and Date: 2008-06-16
• [Presentation] 実現理論に基づくシステム同定について (2007)
  • Author(s): 田中
  • Organizer: RACOT研究会SICE九州支部 制御理論と応用に関する研究会 共催
  • Place of Presentation: 九州工業大学天神サテライトキャンパスkyutech プラザ
  • Year and Date: 2007-12-27
• [Presentation] 実現理論に基づくシステム同定について (2007)
  • Author(s): 田中 秀幸
  • Organizer: RACOT研究会(SICE九州支部 制御理論と応用に関する研究会 共催)
  • Place of Presentation: 九州工業大学天神サテライトキャンパスkyutechプラザ
  • Year and Date: 2007-12-27
• [Presentation] A realization algorithm for finding a set of linear dynamical models (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Organizer: Procs. Of the 46th IEEE Conference on Decision and Control
  • Place of Presentation: New Orleans, LA USA
  • Year and Date: 2007-12-13
• [Presentation] Closed loop realization algorithms via a joint-input-output approach (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Organizer: Procs. Of European Control Conference 2007
  • Place of Presentation: Kos, Greece
  • Year and Date: 2007-07-05
• [Presentation] Closed loop realization algorithms via a joint-input-output approach (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Organizer: European Control Conference 2007(ECC2007)(査読のある国際会議)
  • Place of Presentation: Kos, Greece
• [Presentation] A realization algorithm for finding a set of linear dynamical models (2007)
  • Author(s): H. Tanaka and T. Katayama
  • Organizer: Proc. of 46th Conference on Decision and Control(CDC2007)(査読のある国際会議)
  • Place of Presentation: New Orleans, LA, USA
• [Presentation] Identification of errors-in-variables models based on frequency domain power spectra (2006)
  • Author(s): H. Tanaka and T. Katayama
  • Organizer: Procs. Of the 45th IEEE Conference on Decision and Control
  • Place of Presentation: San Diego, CA, USA
  • Year and Date: 2006-12-13