Numerical method for nonlinear H infinity output feedback control problem

• Project/Area Number: 26420415
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Nihon University (2016); Tokyo Institute of Technology (2015); Kyoto University (2014)
• Principal Investigator: NISHIDA Gou 日本大学, 工学部, 准教授 (80435669)
• Co-Investigator(Kenkyū-buntansha): 坂本 登 南山大学, 理工学部, 教授 (00283416)
• Research Collaborator: YAMAMOTO Yutaka
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2015: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000); Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 非線形システム / 非線形最適制御 / 数値解法 / ロバスト制御 / 分布定数系 / 非線形制御 / 出力フィードバック制御

Outline of Final Research Achievements

The purpose of this research is to elaborate a numerical method for the practical realization of the nonlinear H infinity output feedback control theory. The nonlinear H infinity controllers are optimized according to the consideration for the effects of unmodeled perturbations on control performances of nonlinear systems. We extend the control to output feedback controls that do not use full states of the systems, but observed signals.

Research Products

• [Journal Article] Robust Nonlinear H-infinity Control Design via Stable Manifold Method (2015)
  • Author(s): Yoshiki Abe, Gou Nishida, Noboru Sakamoto and Yutaka Yamamoto
  • Journal Title: Mathematical Problems in Engineering Volume: 2015 Pages: 1-8
  • DOI: 10.1155/2015/198380
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Symplectic Numerical Approach for Nonlinear Optimal Control of Systems with Inequality Constraints (2015)
  • Author(s): Yoshiki Abe, Gou Nishida, Noboru Sakamoto and Yutaka Yamamoto
  • Journal Title: International Journal of Modern Nonlinear Theory and Application Volume: 4 Issue: 04 Pages: 234-248
  • DOI: 10.4236/ijmnta.2015.44018
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Scalable Reduction of Elastic Continuum for Boundary Energy Control (2015)
  • Author(s): Gou Nishida, Kenji Fujimoto and Daiji Ichishima
  • Journal Title: SIAM J. Control and Optimization Volume: 53 Issue: 4 Pages: 2424-2448
  • DOI: 10.1137/11084529x
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Robustness Analysis of Optimal Regulator for Vehicle Model with Nonlinear Friction (2015)
  • Author(s): Gou Nishida, Yoshiki Abe, Noboru Sakamoto and Yutaka Yamamoto
  • Journal Title: Int. J. of Emerging Technology and Advanced Engineering Volume: 5 Pages: 25-30
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] 安定多様体法におけるHamilton-Jacobi方程式の高速数値解法 (2015)
  • Author(s): 濱口 謙一, 西田 豪, 坂本 登, 山本 裕
  • Journal Title: システム制御情報学会論文誌 Volume: 28 Pages: 32-39
  • NAID: 130005065387
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] モデル縮約に基づく非線形偏微分方程式の最適フィードバック制御 (2015)
  • Author(s): 濱口 謙一, 西田 豪, 坂本 登, 山本 裕
  • Journal Title: 計測自動制御学会論文集 Volume: 51 Pages: 181-188
  • NAID: 130004855741
  • Peer Reviewed
• [Journal Article] Boundary Integrability of Multiple Stokes-Dirac Structures (2015)
  • Author(s): Gou Nishida, Bernhard Maschke and Ryojun Ikeura
  • Journal Title: SIAM J. Control and Optimization Volume: 53 Issue: 2 Pages: 800-815
  • DOI: 10.1137/110856058
  • Peer Reviewed
• [Presentation] Stable Manifold Method for Infinite Horizon Optimal Control Problem with Discounted Cost (2017)
  • Author(s): Gou Nishida and Noboru Sakamoto
  • Organizer: The 20th IFAC World Congress
  • Place of Presentation: Toulouse
  • Year and Date: 2017-07-09
  • Int'l Joint Research
• [Presentation] Optimal Port Allocation for Nonlinear Distributed Parameter Systems (2016)
  • Author(s): Gou Nishida and Noboru Sakamoto
  • Organizer: Te 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations
  • Place of Presentation: Bertinoro
  • Year and Date: 2016-06-13
  • Int'l Joint Research
• [Presentation] 境界を持つ多様体上の大域的Stokes-Dirac構造 (2016)
  • Author(s): 西田 豪
  • Organizer: 第3回 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
• [Presentation] Robustness of Nonlinear Optimal Regulator for Reduced Distributed Parameter System (2015)
  • Author(s): Gou Nishida and Noboru Sakamoto
  • Organizer: Proc. of 2015 SIAM Conference on Control and Its Applications
  • Place of Presentation: Paris, France
  • Year and Date: 2015-07-08
  • Int'l Joint Research
• [Presentation] Nonlinear Optimal Control in Catalytic Process Via Stable Manifold Method (2015)
  • Author(s): K. Hamaguchi, G. Nishida, N. Sakamoto and Y. Yamamoto
  • Organizer: Proc. of the 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control
  • Place of Presentation: Lyon, France
  • Year and Date: 2015-07-04
  • Int'l Joint Research
• [Presentation] 非線形分布定数系に対する最適制御の外乱に対するロバスト性について (2014)
  • Author(s): 西田 豪, 坂本 登
  • Organizer: 第57回自動制御連合講演会
  • Place of Presentation: ホテル天坊，群馬県渋川市
  • Year and Date: 2014-11-10 – 2014-11-12
• [Presentation] Suboptimal Feedback Control of Nonlinear Distributed Parameter Systems by Stable Manifold Method (2014)
  • Author(s): K. Hamaguchi, G. Nishida and N. Sakamoto
  • Organizer: The 19th IFAC World Congress
  • Place of Presentation: Cape Town, South Africa
  • Year and Date: 2014-08-24 – 2014-08-29
• [Presentation] 状態の不等式制約を考慮した非線形最適制御 (2014)
  • Author(s): 阿部 義貴, 西田 豪, 坂本 登, 山本 裕
  • Organizer: 第58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，京都府京都市
  • Year and Date: 2014-05-21 – 2014-05-23
• [Presentation] 安定多様体法による非線形最適制御器の外乱に対するロバスト性について (2014)
  • Author(s): 太田 清士郎, 西田 豪, 山本 裕
  • Organizer: 第58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，京都府京都市
  • Year and Date: 2014-05-21 – 2014-05-23