非線形固有値を用いた制御理論の構築

• Project/Area Number: 15K18087
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Control engineering/System engineering
• Research Institution: Kyoto University
• Principal Investigator: 河野 佑 京都大学, 情報学研究科, 特定研究員 (40743034)
• Project Period (FY): 2015-04-01 – 2017-03-31
• Project Status: Discontinued (Fiscal Year 2016)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 非線形制御 / 固有値・固有ベクトル / 安定性 / 最適制御 / 非線形システム / 固有値 / 可制御性 / 可観測性

Outline of Annual Research Achievements

本研究では，非線形制御システムに対して，非線形固有値・固有ベクトルを用いた新たな解析・制御手法の構築を目指している．本年度では，当初の予定どおり，最適制御問題の新たな解析手法を提案した．この結果に基づいて，非線形固有値のcontraction理論やモデル低次元化理論への応用可能性を見出した．応用への準備として，モデル低次元化問題に取り組んだ．また，可制御性/可観測性解析に対しても新たな知見を与えた．

Research Products

• [Int'l Joint Research] Tallinn University of Technology(Estonia)
• [Int'l Joint Research] UMR CNRS(France)
• [Int'l Joint Research] University of Groningen(オランダ)
• [Int'l Joint Research] Tallinn University of Technology(Estonia)
• [Int'l Joint Research] University of Groningen(オランダ)
• [Journal Article] Model reduction by differential balancing based on nonlinear Hankel operators (2017)
  • Author(s): Yu Kawano and Jacquelien M.A. Scherpen
  • Journal Title: IEEE Transactions on Automatic Control Volume: 62 Issue: 7 Pages: 3293-3308
  • DOI: 10.1109/tac.2016.2628201
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Observability Conditions by Polynomial Ideals (2017)
  • Author(s): Yu Kawano and Toshiyuki Ohtsuka
  • Journal Title: Asian Journal of Control Volume: 19 Issue: 3 Pages: 821-831
  • DOI: 10.1002/asjc.1436
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Single-experiment observability decomposition of discrete-time analytic systems (2016)
  • Author(s): Yu Kawano and Ulle Kotta
  • Journal Title: Systems & Control Letters Volume: 97 Pages: 193-199
  • DOI: 10.1016/j.sysconle.2016.09.016
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Algebraic geometric approach to output dead-beat controllability of discrete-time polynomial systems (2016)
  • Author(s): Yu Kawano and Toshiyuki Ohtsuka
  • Journal Title: Nonlinear Theory and Its Applications, IEICE Volume: 7 Issue: 4 Pages: 460-467
  • DOI: 10.1587/nolta.7.460
  • NAID: 130005605915
  • ISSN: 2185-4106
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Any dynamical system is fully accessible through one single actuator, and related problems (2016)
  • Author(s): Yu Kawano, Ulle Kotta, and Claude H. Moog
  • Journal Title: International Journal of Robust and Nonlinear Control Volume: 26 Issue: 8 Pages: 1748-1754
  • DOI: 10.1002/rnc.3379
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Commutative Algebraic Methods for Controllability of Discrete-Time Polynomial Systems (2016)
  • Author(s): Yu Kawano and Toshiyuki Ohtsuka
  • Journal Title: International Journal of Control Volume: 89 Issue: 2 Pages: 343-351
  • DOI: 10.1080/00207179.2015.1076939
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Stability criteria with nonlinear eigenvalues for diagonalizable nonlinear systems (2015)
  • Author(s): Yu Kawano and Toshiyuki Ohtsuka
  • Journal Title: Systems & Control Letters Volume: 86 Pages: 41-47
  • DOI: 10.1016/j.sysconle.2015.10.001
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] On differential input-to-state stability (2016)
  • Author(s): Yu Kawano
  • Organizer: 55th IEEE Conference on Decision and Control
  • Place of Presentation: ARIA Resort & Casino, Las Vegas, USA
  • Year and Date: 2016-12-12
  • Int'l Joint Research
• [Presentation] Generalized differential balancing for variationally symmetric systems (2016)
  • Author(s): Yu Kawano and Jacquelien M.A. Scherpen
  • Organizer: 10th IFAC Symposium on Nonlinear Control Systems
  • Place of Presentation: Marriott Hotel Monterey, California, USA
  • Year and Date: 2016-08-23
  • Int'l Joint Research
• [Presentation] Balancing of linear time-varying symmetric systems (2016)
  • Author(s): Yu Kawano and Jacquelien M.A. Scherpen
  • Organizer: 22nd International Symposium on Mathematical Theory of Networks and Systems
  • Place of Presentation: University of Minnesota, Minnesota, USA
  • Year and Date: 2016-07-12
  • Int'l Joint Research
• [Presentation] Structure preserving truncation for linear port Hamiltonian systems (2016)
  • Author(s): Yu Kawano and Jacquelien M.A. Scherpen
  • Organizer: 22nd International Symposium on Mathematical Theory of Networks and Systems
  • Place of Presentation: University of Minnesota, Minnesota, USA
  • Year and Date: 2016-07-12
  • Int'l Joint Research
• [Presentation] Nonlinear Eigenvalue Characterization of Solutions to Differential Riccati Equations for Contraction Analysis (2016)
  • Author(s): 河野佑，大塚敏之
  • Organizer: 第3回計測自動制御学会制御部門マルチシンポジウム
  • Place of Presentation: 南山大学名古屋キャンパス，愛知県名古屋市昭和区山里町
  • Year and Date: 2016-03-07
• [Presentation] On Integrability of Observable Space for Discrete-Time Analytic Systems (2015)
  • Author(s): Yu Kawano and Ulle Kotta
  • Organizer: 54th IEEE Conference on Decision and Control
  • Place of Presentation: the Osaka International Convention Center, Nakanoshima, Kita-ku, Osaka, Osaka, Japan
  • Year and Date: 2015-12-18
  • Int'l Joint Research
• [Presentation] Sufficient Condition for Minimal Realization of Incrementally Stable Nonlinear Systems Based on Differential Energy Functions (2015)
  • Author(s): Yu Kawano and Jacquelien M.A. Scherpen
  • Organizer: 54th IEEE Conference on Decision and Control
  • Place of Presentation: the Osaka International Convention Center, Nakanoshima, Kita-ku, Osaka, Osaka, Japan
  • Year and Date: 2015-12-17
  • Int'l Joint Research
• [Remarks] Yu Kawano - Rijksuniversiteit Groningen
  • URL: http://www.rug.nl/staff/y.kawano/research
• [Remarks] 大塚研究室 研究業績 | 京都大学 大学院情報学研究科 システム科学専攻
  • URL: http://www.symlab.sys.i.kyoto-u.ac.jp/publications.html