Analysis and Synthesis of Robust Control Systems based on Semidefinite Programming and Duality Theory

2008 Fiscal Year Final Research Report

• Project/Area Number: 18760319
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Control engineering
• Research Institution: Kyoto University
• Principal Investigator: EBIHARA Yoshio Kyoto University, 大学院工学研究科, 講師 (80346080)
• Project Period (FY): 2006 – 2008
• Keywords: 制御系解析・設計 / 半正定値計画 / 双対理論

Research Abstract

本研究では,線形システムの解析および制御系設計を行う際に重要な役割を果たす,半正定値計画(SDP)に関する包括的な研究を遂行した.とくにロバストSDPと呼ばれる数値的球解が困難な問題に対するSDP緩和,SDPの双対に基づいた厳密なロバスト性能解析,およびSDPに基づくロバスト制御系設計などに関して,理論的に豊富な成果が得られた.

Research Products

• [Journal Article] Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness (2009)
  • Author(s): Y. Ebihara, Y. Onishi and T. Hagiwara
  • Journal Title: IEEE Transactions on Automatic Control, Special Issue on "Positive Polynomials in Control," Vol. 54, No. 5 Pages: 938-951
  • Peer Reviewed
• [Journal Article] On the Exactness Proof of (D,G) Scaling (2008)
  • Author(s): Y. Ebihara
  • Journal Title: SICE Journal of Control, Measurement, and System Integration Vol. 1, No. 6 Pages: 474-478
  • Peer Reviewed
• [Journal Article] On H-infinity Model Reduction for Discrete-Time LTI Systems Using LMIs (2008)
  • Author(s): Y. Ebihara, Y. Hirai and T. Hagiwara
  • Journal Title: Asian Journal of Control Vol. 10, No. 3 Pages: 291-300
  • Peer Reviewed
• [Journal Article] Computing the Distance to Uncontrollability via LMIs: Lower Bound Computation with Exactness Verification (2008)
  • Author(s): Y. Ebihara
  • Journal Title: Systems and Control Letters Vol. 57, No. 9 Pages: 763-771
  • Peer Reviewed
• [Journal Article] Generalized S-procedure for Inequality Conditions on One-Vector-Lossless Sets and Linear System Analysis (2008)
  • Author(s): Y. Ebihara, K. Maeda and T. Hagiwara
  • Journal Title: SIAM Journal on Control and Optimization Vol. 47, No. 3 Pages: 1547-1555
  • Peer Reviewed
• [Journal Article] Exact Stability Analysis of 2-D Systems Using LMIs (2006)
  • Author(s): Y. Ebihara, Y. Ito and T. Hagiwara
  • Journal Title: IEEE Transactions on Automatic Control Vol. 51, No. 9 Pages: 1509-1513
  • Peer Reviewed
• [Journal Article] On the Degree of Polynomial Parameter-Dependent Lyapunov Functions for Robust Stability of Single Parameter-Dependent LTI Systems : A Counter-example to Barmish's Conjecture (2006)
  • Author(s): Y. Ebihara and T. Hagiwara
  • Journal Title: Automatica Vol. 42, No. 9 Pages: 1599-1603
  • Peer Reviewed
• [Journal Article] H∞状態フィードバック設計のための冗長なディスクリプタアプローチ : 伸張型 LMI に基づく既存結果の拡張 (2006)
  • Author(s): 川田昌克,蛯原義雄,陳幹
  • Journal Title: 計測自動制御学会論文集 Vol. 42, No. 7 Pages: 750-757
  • Peer Reviewed
• [Journal Article] 多項式型パラメータ依存 Lyapunov 関数を用いた不確かな線形時不変系のロバストH∞性能解析 (2006)
  • Author(s): 平井義人,蛯原義雄,萩原朋道
  • Journal Title: 計測自動制御学会論文集 Vol. 42, No. 6 Pages: 618-627
  • Peer Reviewed
• [Presentation] Periodically Time-Varying Dynamical Controller Synthesis for Polytopic-Type Uncertain Discrete-Time Linear Systems (2008)
  • Author(s): Y. Ebihara, D. Peaucelle and D. Arzelier
  • Organizer: Proc. Of the 47th IEEE Conference on Decision and Control
  • Place of Presentation: Cancun, Mexico
  • Year and Date: 2008-12-11
• [Presentation] Extracting Worst Case Perturbations for Robustness Analysis of Parameter-Dependent LTI Systems (2008)
  • Author(s): Y. Onishi, Y. Ebihara and T. Hagiwara
  • Organizer: Proc. Of the 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-10
• [Presentation] LMI-based Periodically Time-Varying Dynamical Controller Synthesis for Discrete-Time Uncertain Linear Systems (2008)
  • Author(s): Y. Ebihara, D. Peaucelle and D. Arzelier
  • Organizer: Proc. Of the 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-07
• [Presentation] Robust H2 Performance of Discrete-Time Periodic Systems : LMIs with Reduced Dimensions (2008)
  • Author(s): D. Peaucelle, Y. Ebihara and D. Arzelier
  • Organizer: Proc. Of the 17th IFAC World Congress
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-07-07
• [Presentation] Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness (2007)
  • Author(s): Y. Ebihara, Y. Onishi and T. Hagiwara
  • Organizer: Proc. Of the 46th IEEE Conference on Decision and Control
  • Place of Presentation: New Orleans, USA
  • Year and Date: 2007-12-14
• [Presentation] Further Results on Computing the Distance to Uncontrollability via LMIs (2007)
  • Author(s): Y. Ebihara and T. Hagiwara
  • Organizer: Proc. Of the American Control Conference
  • Place of Presentation: New York, USA
  • Year and Date: 2007-07-13
• [Presentation] Computing the Distance to Uncontrollability via LMIs: Lower and Upper Bounds Computation and Exactness Verification (2006)
  • Author(s): Y. Ebihara and T. Hagiwara
  • Organizer: Proc. Of the 45th IEEE Conference on Decision and Control
  • Place of Presentation: San Diego, USA
  • Year and Date: 2006-12-15
• [Presentation] On the Degree of Polynomial Parameter-Dependent Lyapunov Functions for Robust Stability of Single Parameter-Dependent LTI Systems : A Counter-example to Barmish's Conjecture (2006)
  • Author(s): Y. Ebihara and T. Hagiwara
  • Organizer: Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2006-07-28
• [Presentation] General Polynomial Parameter-Dependent Lyapunov Functions for Polytopic Uncertain Systems (2006)
  • Author(s): D. Peaucelle, Y. Ebihara, D. Arzelier and T. Hagiwara
  • Organizer: Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2006-07-27
• [Presentation] On H-infinity Model Reduction for Discrete-Time LTI Systems Using LMIs (2006)
  • Author(s): Y. Ebihara, Y. Hirai and T. Hagiwara
  • Organizer: Proc. Of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 2006-07-24
• [Presentation] Robust H2 Performance Analysis of Uncertain LTI Systems via Polynomially Parameter-Dependent Lyapunov Functions (2006)
  • Author(s): Y. Ebihara, D. Peaucelle, D. Arzelier and T. Hagiwara
  • Organizer: Proc. Of IFAC Robust Control Design (ROCOND 2006)
  • Place of Presentation: Toulouse, France
  • Year and Date: 2006-07-07