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Foundation of control theory based on statistical data analysis

Research Project

Project/Area Number 25420437
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Control engineering/System engineering
Research InstitutionKyoto University

Principal Investigator

Fujimoto Kenji  京都大学, 工学研究科, 教授 (10293903)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
KeywordsControl theory / System identification / Statistical learning / Nonlinear control / ベイズ推定 / 確率最適制御 / 統計的学習
Outline of Final Research Achievements

This research program mainly achieves three major results by applying statistical learning algorithms to some problems in control engineering. One is system identification for transfer functions and state space models based on variational Bayes. Another one is active learning for system identification based on frequency weighted mutual information. The last one is to use Gaussian process inference for nonlinear controller design. In control engineering, most of the design procedures are based on a mathematical model of the plant system. However, it is not so easy to obtain precise mathematical models in practice. The scope of this research program is to derive a new design algorithms based on statistical learning theory which were not used in control engineering research area so far.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (37 results)

All 2017 2016 2015 2014 2013

All Journal Article (13 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 13 results) Presentation (24 results)

  • [Journal Article] Transition to an optimal periodic gait by simultaneous input and parameter optimization method of Hamiltonian systems2016

    • Author(s)
      S. Satoh, K. Fujimoto and M. Saeki
    • Journal Title

      Artif Life Robotics

      Volume: - Issue: 3 Pages: 258-267

    • DOI

      10.1007/s10015-016-0294-5

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On system identification for ARMAX models based on the variational Byaesian method2016

    • Author(s)
      K. Fujimoto and Y. Takaki
    • Journal Title

      Proc. IEEE Conference on Decision and Control

      Volume: - Pages: 1217-1222

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A study on robust nonlinear optimal control for parameter variation2016

    • Author(s)
      Y. Okura and K. Fujimoto
    • Journal Title

      Proc. IEEE Conference on Decision and Control

      Volume: - Pages: 4469-4473

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On stochastic optimal control for linear systems with robust stability2016

    • Author(s)
      Y. Ito, K. Fujimoto, Y. Tadokoro and T. Yoshimura
    • Journal Title

      Proc. IEEE Conference on Decision and Control

      Volume: - Pages: 5390-5395

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On port-Hamiltonian modeling and control of systems with quaternions2016

    • Author(s)
      K. Fujimoto, T. Takeuchi and Y. Matsumoto
    • Journal Title

      Trans. JSASS Aerospace Tech. Japan

      Volume: 14

    • NAID

      130006902230

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete-Time Nonlinear Optimal Control via Generating Functions2016

    • Author(s)
      D. Chen, K. Fujimoto and T. Suzuki
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E99.A Issue: 11 Pages: 2037-2048

    • DOI

      10.1587/transfun.E99.A.2037

    • NAID

      130005267876

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On periodic Kalman filters and multi-rate estimation2016

    • Author(s)
      K. Fujimoto, Y. Oji and K. Hamamoto
    • Journal Title

      Proc. IEEE Multi Symposiums on Control

      Volume: - Pages: 934-939

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Discrete-Time Linear Quadratic Optimal Control via Double Generating Functions2015

    • Author(s)
      D. Chen and Z. Hao and K. Fujimoto and T. Suzuki
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E98.A Issue: 3 Pages: 833-842

    • DOI

      10.1587/transfun.E98.A.833

    • NAID

      130004770985

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical approach for nonlinear optimal control problems based on double generating functions2015

    • Author(s)
      Z. Hao and Q. Zhang and K. Fujimoto
    • Journal Title

      Proceedings of the 54th IEEE Conference on Decision and Control

      Volume: 1 Pages: 3218-3223

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A new framework of robust LQ optimal control for parameter ariation and its application to the double generating function method2015

    • Author(s)
      Y. Okura and K. Fujimoto
    • Journal Title

      Proceedings of the 54th IEEE Conference on Decision and Control

      Volume: 1 Pages: 3236-3241

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] On finite time optimal control for discrete-time linear systems with parameter variation2015

    • Author(s)
      K. Fujimoto and T. Inoue and S. Maruyama
    • Journal Title

      Proceedings of the 54th IEEE Conference on Decision and Control

      Volume: 1 Pages: 6524-6529

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] On linear solutions to a class of risk sensitive control for linear systems with stochastic parameters2015

    • Author(s)
      Y. Ito and K. Fujimoto and Y. Tadokoro and T. Yoshimura
    • Journal Title

      Proceedings of the 54th IEEE Conference on Decision and Control

      Volume: 1 Pages: 6516-6523

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimal Gait Generation for a Compass Biped Robot via the Double Generating Function Method2014

    • Author(s)
      Zhiwei Hao, Kenji Fujimoto and Yoshikazu Hayakawa
    • Journal Title

      SICE Journal of Control, Measurement, and System Integration

      Volume: 7 Pages: 96-103

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] ガウス過程状態空間モデルに対するモデルの不確かさを考慮した出力フィードバック制御則の設計2017

    • Author(s)
      高木友士、藤本健治
    • Organizer
      第4回制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] 変分ベイズ法に基づいた非線形状態空間モデルのシステム同定:変分事後分布の多峰性2017

    • Author(s)
      谷口明宏、藤本健治、西田吉晴
    • Organizer
      第4回制御部門マルチシンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2017-03-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] ガウス過程状態空間モデルに対する最適制御2016

    • Author(s)
      高木友士、藤本健治
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] 変分ベイズ法に基づいた非線形状態空間モデルのパラメータ推定:モデルがパラメータについてアファインな場合2016

    • Author(s)
      谷口明宏、藤本健治、西田吉晴
    • Organizer
      第19回情報論的学習理論ワークショップ
    • Place of Presentation
      京都大学
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] H∞フィルタを用いたマルチレート状態推定2016

    • Author(s)
      大路悠友、藤本健治
    • Organizer
      第60回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ
    • Year and Date
      2016-05-25
    • Related Report
      2016 Annual Research Report
  • [Presentation] 周波数領域における相互情報量を用いた能動学習2016

    • Author(s)
      井上・藤本
    • Organizer
      第3回 SICE 制御部門マルチシンポジウム
    • Place of Presentation
      名古屋
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
  • [Presentation] 確率パラメータをもつ線形システムのリスク鋭敏型線形制御2016

    • Author(s)
      伊藤・藤本・田所・吉村
    • Organizer
      第3回 SICE 制御部門マルチシンポジウム
    • Place of Presentation
      名古屋
    • Year and Date
      2016-03-07
    • Related Report
      2015 Research-status Report
  • [Presentation] パラメータ変動に対してロバストな非線形最適制御の枠組みについて2015

    • Author(s)
      大倉・藤本
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 信頼度を考慮したばらつき抑制のための確率最適制御2015

    • Author(s)
      井上・藤本
    • Organizer
      第58回自動制御連合講演会
    • Place of Presentation
      神戸
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 変分ベイズ法に基づく ARMAX モデルのシステム同定2015

    • Author(s)
      高木・藤本
    • Organizer
      第59回 システム制御情報学会研究発表講演会
    • Place of Presentation
      大阪
    • Year and Date
      2015-05-20
    • Related Report
      2015 Research-status Report
  • [Presentation] 非線形系に対する二重母関数法を用いた最適軌道生成の数値計算2015

    • Author(s)
      星山・藤本
    • Organizer
      第59回 システム制御情報学会研究発表講演会
    • Place of Presentation
      大阪
    • Year and Date
      2015-05-20
    • Related Report
      2015 Research-status Report
  • [Presentation] 勾配ベイズ法によるロバストな状態空間モデルのシステム同定2015

    • Author(s)
      石神孝容、藤本健治、西田吉晴
    • Organizer
      SICE 制御部門マルチシンポジウム
    • Place of Presentation
      東京
    • Year and Date
      2015-03-05 – 2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] 非線形最適制御のためのシステム同定と制御器設計の統合化手法2015

    • Author(s)
      伊藤優司、藤本健治、田所幸浩、吉村貴克
    • Organizer
      SICE 制御部門マルチシンポジウム
    • Place of Presentation
      東京
    • Year and Date
      2015-03-05 – 2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] パラメータ変動に対してロバストなLQ最適制御の枠組みと母関数法への適用2015

    • Author(s)
      大倉裕貴、藤本健治
    • Organizer
      SICE 制御部門マルチシンポジウム
    • Place of Presentation
      東京
    • Year and Date
      2015-03-05 – 2015-03-07
    • Related Report
      2014 Research-status Report
  • [Presentation] Generating function approach to linear quadratic optimal control problem with constraints on the state2014

    • Author(s)
      Dijian Chen, Kenji Fujimoto and Tatsuya Suzuki
    • Organizer
      IEEE International Conference on Decision and Control 2014
    • Place of Presentation
      Los Angeles
    • Year and Date
      2014-12-15 – 2014-12-17
    • Related Report
      2014 Research-status Report
  • [Presentation] On trajectory tracking control of port-Hamiltonian systems with quaternions2014

    • Author(s)
      Kenji Fujimoto and Taishi Nishiyama
    • Organizer
      IEEE International Conference on Decision and Control 2014
    • Place of Presentation
      Los Angeles
    • Year and Date
      2014-12-15 – 2014-12-17
    • Related Report
      2014 Research-status Report
  • [Presentation] On symmetric nonlinear systems2014

    • Author(s)
      Kenji Fujimoto, Tudo Ionescu and Jacquelien M. A. Scherpen
    • Organizer
      自動制御連合講演会
    • Place of Presentation
      群馬
    • Year and Date
      2014-11-10 – 2014-11-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Solving discrete-time nonlinear optimal control problem by generating functions approach2014

    • Author(s)
      Dijian Chen, Kenji Fujimoto and Tatsuya Suzuki
    • Organizer
      SICE Annual Conference 2014
    • Place of Presentation
      Sapporo
    • Year and Date
      2014-09-10 – 2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Discrete-time linear quadratic optimal control with fixed and free terminal state via double generating functions2014

    • Author(s)
      Dijian Chen, Zhiwei Hao, Kenji Fujimoto and Tatsuya Suzuki
    • Organizer
      IFAC World Congress 2014
    • Place of Presentation
      Cape Town
    • Year and Date
      2014-08-25 – 2014-08-29
    • Related Report
      2014 Research-status Report
  • [Presentation] On balanced truncation for symmetric nonlinear systems2014

    • Author(s)
      Kenji Fujimoto and Jaqcuelien M. A. Scherpen
    • Organizer
      International Symposium on Mathematical Theory for Networks and Systems
    • Place of Presentation
      Groningen
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Research-status Report
  • [Presentation] 2軸ヘリコプタのベイズ推定によるパラメータ推定と確率最適制御2014

    • Author(s)
      井上鉄平、藤本健治
    • Organizer
      システム制御情報学会講演会
    • Place of Presentation
      京都
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Research-status Report
  • [Presentation] ロバストな変分ベイズアルゴリズムの提案2014

    • Author(s)
      石神孝容、藤本健治、西田吉晴
    • Organizer
      計測自動制御学会 制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 藤本健治、丸山俊、村田昇、早川朋久2014

    • Author(s)
      確率的な予測データを扱うための2次計画法について
    • Organizer
      計測自動制御学会 制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学
    • Related Report
      2013 Research-status Report
  • [Presentation] パラメータにばらつきを持つ離散時間線形システムに対する有限時間最適制御2013

    • Author(s)
      丸山俊、藤本健治、岩田崇
    • Organizer
      自動制御連合講演会
    • Place of Presentation
      新潟大学
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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