• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development of output feedback nonlinear stochastic MPC by a unified solution method of stochastic optimal control and nonlinear inference

Research Project

Project/Area Number 18K04202
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 21040:Control and system engineering-related
Research InstitutionOsaka University

Principal Investigator

Satoh Satoshi  大阪大学, 工学研究科, 准教授 (60533643)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords非線形制御 / 確率制御 / 最適制御 / 非線形推定 / クアッドコプタ / 非線形確率システム / 確率最適制御 / 確率モデル予測制御 / 小型ヘリコプタ
Outline of Final Research Achievements

In this study, we consider a nonlinear stochastic system that properly models the nonlinearity and stochastic uncertainty of the system. We have developed a unified solution method for stochastic optimal control and nonlinear filter. Here, the former method gives the optimal control input that minimizes the expectation of a given cost function under stochastic uncertainty, while the latter method provides an estimate of the state of the system from the measurement output with sensor noise. We have also presented a fast computational scheme using parallelization for the proposed method, which is important for the implementation of real-time optimization. Then, we have conducted experimental verification of the optimal position and attitude control under stochastic disturbances using newly developed quadcopter testbed and 3-axis attitude control equipment.

Academic Significance and Societal Importance of the Research Achievements

本研究成果の学術的意義や社会的意義は以下のようにまとめられる.1.これまで非線形確率システムに対する最適制御問題とフィルタ問題は,それぞれの十分な解法さえなかったが,本研究により両者の統一的な解法を開発した.2.実時間最適化の実装において重要な高速計算について,並列計算を用いた計算法も与えた.3.姿勢運動による非線形性,気象や通信による不確定性に対する性能と頑健性の向上が必須課題となっている小型無人ヘリコプタに対する最適位置・姿勢制御法を開発した.

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (42 results)

All 2021 2020 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (9 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 9 results,  Open Access: 2 results) Presentation (20 results) (of which Int'l Joint Research: 8 results,  Invited: 1 results) Remarks (7 results)

  • [Int'l Joint Research] Radboud University Nijmegen(オランダ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Politecnico di Torino(イタリア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Radboud University Nijmegen(オランダ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Politecnico di Torino/CNR-IEIIT(イタリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Radboud University Nijmegen(オランダ)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Politecnico di Torino/CNR-IEIIT(イタリア)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Optimal Position and Attitude Control of Quadcopter Using Stochastic Differential Dynamic Programming with Input Saturation Constraints2021

    • Author(s)
      Satoh Satoshi、Saijo Hironori、Yamada Katsuhiko
    • Journal Title

      Journal of Robotics and Mechatronics

      Volume: 33 Issue: 2 Pages: 283-291

    • DOI

      10.20965/jrm.2021.p0283

    • NAID

      130008027711

    • ISSN
      0915-3942, 1883-8049
    • Year and Date
      2021-04-20
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stochastic bounded stability in the three-body problem with probabilistic uncertainty using port-Hamiltonian representation2021

    • Author(s)
      T. Nishishita, S. Satoh, and K. Yamada
    • Journal Title

      Aerospace Technology Japan

      Volume: -

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stabilization of a spacecraft in a halo orbit via differential dynamic programming with input saturation constraints2021

    • Author(s)
      M. Iwabuchi, S. Satoh, and K. Yamada
    • Journal Title

      Aerospace Technology Japan

      Volume: -

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Simultaneous learning optimization of Hamiltonian systems and trajectory tracking around an asteroid2020

    • Author(s)
      A. Taniguchi, S. Satoh, and K. Yamada
    • Journal Title

      Journal of Guidance, Control, and Dynamics

      Volume: 43 Issue: 2 Pages: 222-231

    • DOI

      10.2514/1.g004533

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Stochastic Optimal Control with Input Saturation Constraints Based on Path Integrals2020

    • Author(s)
      Satoh Satoshi、Kappen Hilbert J.
    • Journal Title

      IEEJ Transactions on Electrical and Electronic Engineering

      Volume: 15 Issue: 8 Pages: 1169-1175

    • DOI

      10.1002/tee.23177

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Nonlinear stochastic optimal control with input saturation constraints based on path integrals2020

    • Author(s)
      S. Satoh and H. J. Kappen
    • Journal Title

      IEEJ Transactions on Electrical and Electronic Engineering

      Volume: -

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stochastic stabilization of rigid body motion of a spacecraft on SE(3)2020

    • Author(s)
      N. Tasaka, S. Satoh, T. Hatanaka and K. Yamada
    • Journal Title

      International Journal of Control

      Volume: - Issue: 5 Pages: 1-8

    • DOI

      10.1080/00207179.2019.1637544

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Iterative feedback tuning for Hamiltonian systems based on variational symmetry2019

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

      International Journal of Robust and Nonlinear Control

      Volume: 29 Issue: 16 Pages: 5845-5865

    • DOI

      10.1002/rnc.4692

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Gait generation for a biped robot with knees and torso via trajectory learning and state-transition estimation2018

    • Author(s)
      Satoh Satoshi、Fujimoto Kenji
    • Journal Title

      Artificial Life and Robotics

      Volume: 23 Issue: 4 Pages: 489-497

    • DOI

      10.1007/s10015-018-0476-4

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] An improvement of attitude estimation based on stochastic kinematics modeling on SO(3)2020

    • Author(s)
      S. Satoh and K. Yamada
    • Organizer
      52nd ISCIE International Symposium on Stochastic Systems Theory and Its Application
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] デュアルモードMPCによるピラミッド配置型CMGをもつ宇宙機の最適姿勢制御2020

    • Author(s)
      戸塚睦・佐藤訓志・莊司泰弘・山田克彦
    • Organizer
      第64回宇宙科学技術連合講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Comparison of SDA and MPC controllers of a CMG system for the singularity problem2019

    • Author(s)
      M. Ciavola, E. Capello, S. Satoh and K. Yamada
    • Organizer
      SICE 2019 Annual Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Attitude estimation for a spacecraft based on stochastic control theory2019

    • Author(s)
      S. Satoh
    • Organizer
      SICE 2019 Annual Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Introduction to an iterative solution method for nonlinear stochastic optimal control problems2019

    • Author(s)
      S. Satoh
    • Organizer
      SICE 2019 Annual Conference
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic systems modeling and stabilization of the attitude of a spacecraft2019

    • Author(s)
      N. Tasaka, S. Satoh and K. Yamada
    • Organizer
      the 32nd International Symposium on Space Technology and Science
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic bounded stability in the three-body problem with probabilistic uncertainty using port-Hamiltonian representation2019

    • Author(s)
      T. Nishishita, S. Satoh and K. Yamada
    • Organizer
      the 32nd International Symposium on Space Technology and Science
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 確率制御アプローチによるガウス過程回帰により表されたシステムの安定性解析2019

    • Author(s)
      佐藤訓志・福永修一・片山仁志
    • Organizer
      第7回計測自動制御学会 制御部門マルチシンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] 線形ドリフト・アフィン拡散確率システムの制御法に関する一考察2019

    • Author(s)
      佐藤訓志・関口和真
    • Organizer
      第7回計測自動制御学会 制御部門マルチシンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] 近似モデルに基づく離散時間確率システムの準大域的実用確率漸近安定性の十分条件2019

    • Author(s)
      佐藤訓志・片山仁志
    • Organizer
      第62回 自動制御連合講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 非線形確率制御を用いたフォーメーションフライト制御に関する一考察2019

    • Author(s)
      佐藤訓志・山田克彦
    • Organizer
      第63回宇宙科学技術連合講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] 確率解析に基づくガウス過程回帰により表されたシステムの安定性解析2019

    • Author(s)
      佐藤訓志・福永修一・片山仁志
    • Organizer
      第63回システム制御情報学会研究発表講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] Spacecraft attitude estimation based on stochastic kinematics modeling on SO(3)2018

    • Author(s)
      S. Satoh and K. Yamada
    • Organizer
      the 50th ISCIE International Symposium on Stochastic Systems Theory and Its Application
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bounded stability of stochastic mechanical port-Hamiltonian systems under both deterministic and stochastic disturbances2018

    • Author(s)
      S. Satoh, T. Tasaka and N. Wada
    • Organizer
      SICE 2018 Annual Conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 確率的不確かさを含む連続時間システムのモデル化と制御 ー確率微分方程式と確率解析を使ってー2018

    • Author(s)
      佐藤訓志
    • Organizer
      日本機械学会東海学生会 第219回講演会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 確率システムモデルに基づく剛体姿勢の非線形推定2018

    • Author(s)
      佐藤訓志
    • Organizer
      第6回計測自動制御学会 制御部門マルチシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] 確定外乱と確率外乱が加わる確率ポート・ハミルトン系の確率有界安定化制御と2ロータヘリコプタへの応用2018

    • Author(s)
      田坂俊郎・佐藤訓志・和田信敬
    • Organizer
      第27回 計測自動制御学会中国支部学術講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] 重点サンプリングを用いた経路積分確率最適制御によるクアッドコプタの制御2018

    • Author(s)
      井内裕弥・佐藤訓志・和田信敬
    • Organizer
      第27回 計測自動制御学会中国支部学術講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] 経路積分法に基づく非線形確率最適制御のフォーメーションフライト制御への適用2018

    • Author(s)
      佐藤訓志・山田克彦
    • Organizer
      第28回アストロダイナミクスシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] Eulerパラメータ表現に基づく宇宙機姿勢の確率システムによるモデル化と確率安定化2018

    • Author(s)
      田坂直也・佐藤訓志・山田克彦
    • Organizer
      第62回宇宙科学技術連合講演会
    • Related Report
      2018 Research-status Report
  • [Remarks] 佐藤訓志

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index_ja.html

    • Related Report
      2020 Annual Research Report
  • [Remarks] Satoshi SATOH

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index.html

    • Related Report
      2020 Annual Research Report
  • [Remarks] 佐藤 訓志

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index_ja.html

    • Related Report
      2019 Research-status Report
  • [Remarks] Satoshi Satoh

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index.html

    • Related Report
      2019 Research-status Report
  • [Remarks] 佐藤 訓志

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index_ja.html

    • Related Report
      2018 Research-status Report
  • [Remarks]

    • URL

      http://www-space.mech.eng.osaka-u.ac.jp/satoh/index.html

    • Related Report
      2018 Research-status Report
  • [Remarks] Satoshi SATOH

    • Related Report
      2018 Research-status Report

URL: 

Published: 2018-04-23   Modified: 2022-01-27  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi