Analysis and design method of nonlinear composite systems by the descriptor representation

• Project/Area Number: 24560548
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering
• Research Institution: Osaka University
• Principal Investigator: Wada Teruyo 大阪大学, 工学(系)研究科(研究院), 特任准教授 (70201259)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000); Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000); Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
• Keywords: ディスクリプタシステム / 安定解析法 / 安定化 / 状態方程式制御器 / 線形行列不等式（LMI） / 線形行列不等式 / 安定性 / ベクトル値補助関数 / H∞制御 / 線形行列不等式(LMI) / 国際研究者交流（米国）

Outline of Final Research Achievements

The descriptor representation can simultaneously describe static constraints and dynamical elements as a mathematical model of dynamical systems. Control problems for nonlinear composite systems can be reduced to stabilization problems of the extended descriptor systems which include algebraic equations describing interconnection of subsystems and control specifications. This research provided fundamental theory for analysis and design methodology of the problems, for example, existence conditions and design methods of state-space stabilizing controllers for descriptor systems.

Research Products

• [Int'l Joint Research] サンタクララ大学(U.S.A.)
• [Journal Article] Sate-space H∞ controller design for descriptor systems (2015)
  • Author(s): Masaki Inoue, Teruyo Wada, Masao Ikeda, Eiho Uezato
  • Journal Title: Automatica Volume: 59 Pages: 164-170
  • DOI: 10.1016/j.automatica.2015.06.021
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] State-Space Stabilizing Controllers for Descriptor Systems (2012)
  • Author(s): Masaki INOUE, Teruyo WADA, Masao IKEDA, Eiho UEZATO
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Volume: 5 Pages: 175-183
  • NAID: 10031140132
  • Peer Reviewed
• [Presentation] Quadruped passive dynamic walking robot with a new trunk structure inspired by spine (2014)
  • Author(s): Yuji Kito, Yuichiro Sueoka, Daisuke Nakanishi, Yasuhiro Sugimoto, Masato Ishikawa, Teruyo Wada, Koichi Osuka
  • Organizer: Dynamic Walking 2014
  • Place of Presentation: ETH Zurich (Switzerland)
  • Year and Date: 2014-06-09 – 2014-06-13
• [Presentation] Liapunovの安定性定理再考 (2014)
  • Author(s): 和田光代，大須賀公一，池田雅夫
  • Organizer: 第1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: 電気通信大学