Stabilizability Analysis of Linear Periodic Systems

• Project/Area Number: 21760325
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Nagoya University
• Principal Investigator: JIKUYA Ichiro 名古屋大学, 工学研究科, 助教 (90345918)
• Project Period (FY): 2009 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 制御工学 / 線形周期システム / Floquet定理 / 周期システム / 安定性 / 可安定性 / 正準分解 / フロケ定理

Research Abstract

This paper studied the stabilizability condition for linear periodic systems. The structure of the state transition matrices was studied in detail and the extension of the Floquet theorem was obtained. This gives a new modal decomposition in linear time-invariant system and enables a partial characteristic multiplier placement. The systematic analysis of switching converters was also discussed as linear periodic systems under the continuous conduction mode.

Research Products

• [Presentation] Time Domain Analysis of Steady State Response in Linear Periodic Systems and Its Application to Switching Converters (2011)
  • Author(s): Tchiro Jikuya, Ichijo Hodaka
  • Organizer: 18th TFAC World Congress
  • Place of Presentation: Milan (Italy)
  • Year and Date: 2011-08-29
• [Presentation] Time Domain Analysis of Steady State Response in Linear Periodic Systems and Its Application to Switching Converters (2011)
  • Author(s): Ichiro Jikuya, Ichijo Hodaka
  • Organizer: 18th IFAC World Congress
  • Place of Presentation: Milan, Italy
  • Year and Date: 2011-08-29
• [Presentation] Maximum Parametrization of the Set of All Solutions to Linear Periodic Systems (2010)
  • Author(s): Tchiro Jikuya, Ichijo Hodaka
  • Organizer: Proceedings of 2010 IFAC Workshop on Periodic Control Systems
  • Place of Presentation: Antalya, (Turkey)
  • Year and Date: 2010-08-26
• [Presentation] Maximum Parametrization of the Set of All Solutions to Linear Periodic Systems (2010)
  • Author(s): Ichiro Jikuya, Ichijo Hodaka
  • Organizer: The 4th Workshop on Priodic Systems (PSYCO 2010)
  • Place of Presentation: Antalya, Turkey
  • Year and Date: 2010-08-26
• [Presentation] An Explicit Parametrization of the Set of All Solutions to Linear Periodic Systems (2010)
  • Author(s): Ichiro Tikuya, Ichijo Hodaka
  • Organizer: Proceedings of The 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010)
  • Place of Presentation: Budapest (Hungary)
  • Year and Date: 2010-07-06
• [Presentation] An Explicit Parametrization of the Set of All Solutions to Linear Periodic Systems (2010)
  • Author(s): Ichiro Jikuya, Ichijo Hodaka
  • Organizer: The 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010)
  • Place of Presentation: Budapest, Hungary
  • Year and Date: 2010-07-06
• [Presentation] 線形周期システムの定常応答と昇降圧コンバータ・電流連続モードの静特性 (2010)
  • Author(s): 穂高一条、軸屋一郎
  • Organizer: 第39回制御理論シンポジウム予稿集
  • Place of Presentation: ホテルコスモスクウェア国際交流センター(大阪府)
• [Presentation] Floquet-Lyapunov変換による降圧回路の平均化モデル (2010)
  • Author(s): 軸屋一郎、穂高一条
  • Organizer: 第10回制御部門大会予稿集
  • Place of Presentation: 熊本大学工学部(熊本県)
• [Presentation] A Floquet-Like Factorization for Linear Periodic Systems (2009)
  • Author(s): Tchiro Jikuya, Tchijo Hodaka
  • Organizer: proceedings of the 48th IEEE conference on decision and control
  • Place of Presentation: Shanghai International Convention Center (China)
• [Presentation] Floquet-Lyapunov変換による昇圧同路の平均化モデル (2009)
  • Author(s): 軸屋一郎、穂高一条
  • Organizer: 第38回制御理論シンポジウム予稿集
  • Place of Presentation: ホテルコスモスクエア国際交流センター(大阪府)