Analysis and synthesis of multi-dimensional robust control systems using rational quadratic differential forms

• Project/Area Number: 20560414
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Control engineering
• Research Institution: Kyoto University
• Principal Investigator: TAKABA Kiyotsugu Kyoto University, 大学院・情報学研究科, 准教授 (30236343)
• Co-Investigator(Kenkyū-buntansha): KANEKO Osamu 金沢大学, 電子情報学系, 准教授 (00314394)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: ビヘイビアアプローチ / ロバスト制御 / 2次微分形式 / 多次元システム / ビヘイビア / 制御系設計

Research Abstract

This is the fundamental research on robust control of multi-dimensional systems from the viewpoint of the behavioral approach which defines a system in terms of the set of trajectories. By introducing a new tool called `rational quadratic differential forms', we have developed a more flexible and less conservative robust control theory than the previous approaches. We have also solved several related control problems within the behavioral framework.

Research Products

• [Journal Article] Tracking and regulation in the behavioral framework (2011)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Journal Title: Automatica 印刷中
  • Peer Reviewed
• [Journal Article] Lyapunov stability analysis of higher-order 2-D systems (2011)
  • Author(s): C.Kojima, P.Rapisarda, K.Takaba
  • Journal Title: Multidimensional Systems and Signal Processing 印刷中
  • Peer Reviewed
• [Journal Article] Optimal robust stabilization and dissipativity synthesis by behavioral interconnection (2011)
  • Author(s): H.L.Trentelman, S.Fiaz, K.Takaba
  • Journal Title: SIAM Journal on Control and Optimization vol.49,no.1 Pages: 288-314
  • Peer Reviewed
• [Journal Article] Tracking and regulation in the behavioral framework (2011)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Journal Title: Automatica Volume: (掲載予定)
  • Peer Reviewed
• [Journal Article] Lyapunov stability analysis of higher-order 2-D systems (2011)
  • Author(s): C.Kojima, P.Rapisarda, K.Takba
  • Journal Title: Multidimensional Systems and Signal Processing Volume: (掲載予定)
  • Peer Reviewed
• [Journal Article] Optimal robust stabilization and dissipativity synthesis by behavioral interconnection (2011)
  • Author(s): H.L.Trentelman, S.Fiaz, K.Takaba
  • Journal Title: SIAM Journal on Control and Optimization Volume: 49 Pages: 288-314
  • Peer Reviewed
• [Journal Article] LMI conditions for robust stability against parametric uncertainty : A behavioral approach (2010)
  • Author(s): K.Takaba
  • Journal Title: Proc.of 2010 IEEE Int.Symp.on Computer-Aided Control System Design (CACSD2010) Pages: 755-760
  • Peer Reviewed
• [Journal Article] Optimal robust stabilization in behavioral framework (2009)
  • Author(s): H.L.Trentelman, S.Fiaz, K.Takaba
  • Journal Title: Proceedings of European Control Conference 2009 (ECC2009) Pages: 1353-1358
  • Peer Reviewed
• [Journal Article] A note on the regulation problem in the behavioral framewkrk (2009)
  • Author(s): K.Takaba
  • Journal Title: Proceedings of ICROS-SICE International Joint Conference 2009 (ICCAS-SICE2009) Pages: 3929-3933
  • Peer Reviewed
• [Journal Article] Lyapunov stability analysis of higher-order 2-D systems (2009)
  • Author(s): C.Kojima, P.Rapisarda, K.Takaba
  • Journal Title: Proceedings of ICROS-SICE International Joint Conference 2009 (ICCAS-SICE2009) Pages: 3934-3939
  • Peer Reviewed
• [Journal Article] Lyapunov stability analysis of higher-order 2-D systems (2009)
  • Author(s): C.Kojima, P.Rapisarda, K.Takaba
  • Journal Title: Proc. Joint 48th IEEE Conf. Decision and Control and 28th Chinese Control Conf. (CDC-CCC2009) Pages: 1734-1739
  • Peer Reviewed
• [Journal Article] Small gain theorem and optimal robust stabilization in a behavioral framework (2009)
  • Author(s): H.L.Trentelman, S.Fiaz, K.Takaba
  • Journal Title: Proc. Joint 48th IEEE Conf. Decision and Control and 28th Chinese Control Conf. (CDC-CCC2009) Pages: 8107-8112
  • Peer Reviewed
• [Journal Article] Robust stability analysis of uncertain interconnections (2008)
  • Author(s): K.Takaba
  • Journal Title: SICE Journal on Control, Measurement, and System Integration vol.1 Pages: 435-442
  • NAID: 10024488666
  • Peer Reviewed
• [Journal Article] An implementability of hybrid specification with discrete event controllers -2D system theoretic approach in abehavioral framework- (2008)
  • Author(s): Osamu Kaneko, Satoshi Yamamoto
  • Journal Title: Proceedings of SICE Annual Conference 2008 (SICE2008) Pages: 1563-1568
  • Peer Reviewed
• [Journal Article] On linear canonical controllers within the unfalsified control framework (2008)
  • Author(s): Osamu Kaneko
  • Journal Title: Preprints of The 17th IFAC World Congress, Seoul, Korea Pages: 12279-12284
  • Peer Reviewed
• [Journal Article] Robust stability analysis of uncertain interconnections (2008)
  • Author(s): Kiyotsugu Takaba
  • Journal Title: SICE Journal of Control, Measurement, and System Integration (JCMSI) 1 Pages: 435-442
  • NAID: 10024488666
  • Peer Reviewed
• [Journal Article] Output regulation in the behavioral framework (2008)
  • Author(s): Kiyotsugu Takaba
  • Journal Title: Preprints of the 17th IFAC World Congress, Seoul, Korea Pages: 12273-12278
  • Peer Reviewed
• [Journal Article] On rational quadratic differential forms (2008)
  • Author(s): K. Takaba, H. L. Trentelman, J. C. Willems
  • Journal Title: Preprints of the 17th IFAC World Congress, Seoul, Korea Pages: 1311-1318
  • Peer Reviewed
• [Presentation] ビヘイビアアプローチによる3つ以上の線形時不変システムの同時安定化について (2010)
  • Author(s): 金子修
  • Organizer: 第10回計測自動制御学会制御部門大会
  • Place of Presentation: 熊本
  • Year and Date: 2010-03-17
• [Presentation] Stability analysis of interconnections using rational quadratic differential forms (2010)
  • Author(s): K.Takaba
  • Organizer: 第10回計測自動制御学会制御部門大会
  • Place of Presentation: 熊本
  • Year and Date: 2010-03-16
• [Presentation] The internal model principle: Asymptotic tracking and regulation in the behavioral framework (2010)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Organizer: 49th IEEE Conf.on Decision and Control
  • Place of Presentation: Atlanta, USA
• [Presentation] LMI conditions for robust stability against parametric uncertainty (2010)
  • Author(s): K.Takaba
  • Organizer: 2010 IEEE Int. Symp. on Computer-Aided Control System Design (CACSD2010)
  • Place of Presentation: Yokohama, Japan
• [Presentation] Tracking and regulation in the behavioral framework (2010)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Organizer: 19th Int. Symp. on Mathematical Theory on Networks and Systems (MTNS2010)
  • Place of Presentation: Budapest, Hungary
• [Presentation] A polynomial algebraic approach to Lyapnov stability analysis of higher-order 2-D systems (2010)
  • Author(s): P.Rapisarda, K.Takaba, C.Kojima
  • Organizer: 19th Int. Symp. on Mathematical Theory on Networks and Systems (MTNS2010)
  • Place of Presentation: Budapest Hungary
• [Presentation] Stability analysis of interconnection using rational quadratic quadratic differential forms (2010)
  • Author(s): K.Takaba
  • Organizer: Symposium on Systems, Control and Signal Processing (YYFest2010)
  • Place of Presentation: Kyoto, March
• [Presentation] Stability analysis of interconnection using rational quadratic differential forms (2010)
  • Author(s): K.Takaba
  • Organizer: 第10回計測自動制御学会制御部門大会
  • Place of Presentation: 熊本
• [Presentation] ビヘイビアアプロ-チによる3つ以上の線形時不変システムの同時安定化について (2010)
  • Author(s): 金子
  • Organizer: 第10回計測自動制御学会制御部門大会
  • Place of Presentation: 熊本
• [Presentation] The internal model principle : asymptotic tracking and regulation in the behavioral framework (2010)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Organizer: 49th IEEE Conf.on Decision and Control (CDC2010)
  • Place of Presentation: Atlanta, USA
• [Presentation] A polynomial-algebraic approach to Lyapunov stability analysis of higher-order 2-D systems (2010)
  • Author(s): P.Rapisarda, K.Takaba, C.Kojima
  • Organizer: 19th Int.Symp.on Mathematical Theory of Networks and Systems (MTNS2010)
  • Place of Presentation: Budapest, Hungary
• [Presentation] Tracking and regulation in the behavioral framework (2010)
  • Author(s): S.Fiaz, K.Takaba, H.L.Trentelman
  • Organizer: 19th Int.Symp.on Mathematical Theory of Networks and Systems (MTNS2010)
  • Place of Presentation: Budapest, Hungary
• [Presentation] A behavioral approach to regulation problem (2009)
  • Author(s): K.Takaba
  • Organizer: Symposium on Open and interconnected system modeling and control (OISMC)
  • Place of Presentation: Bruges, Belgium
  • Year and Date: 2009-09-16
• [Presentation] Regulation in the behavioral frame work : A partial interconnection case (2009)
  • Author(s): Kiyotsugu Takaba
  • Organizer: 第9回計測自動制御学会制御部門大会
  • Place of Presentation: 東広島
  • Year and Date: 2009-03-06
• [Presentation] Lyapunov stability analysis of higher-order 2-D systems (2009)
  • Author(s): C.Kojima, P.Rapisarda, K.Takaba
  • Organizer: Joint 48th IEEE Conf. Decision & Control and 28th Chinese Control Conf. (CDC-CCC2009)
  • Place of Presentation: Shanghai, China
• [Presentation] Small Gain Theorem and Optimal Robust Stabilization in a Behavioral Framework (2009)
  • Author(s): H.L.Trentelman, S.Fiaz, K.Takaba
  • Organizer: Joint 48th IEEE Conf. Decision & Control and 28th Chinese Control Conf. (CDC-CCC2009)
  • Place of Presentation: Shanghai, China
• [Presentation] A behavioral approach to regulation problem (2009)
  • Author(s): K.Takaba
  • Organizer: Symposium on Open and Interconnected System Modeling and Control
  • Place of Presentation: Bruges, Belgium
• [Presentation] Optimal Robust stabilization in behavioral framework (2009)
  • Author(s): H.L Trentelman, S.Fiaz, K.Takaba
  • Organizer: European Control Conference 2009
  • Place of Presentation: Budapest, Hungary
• [Presentation] A note on the regulation problem in the behavioral framework (2009)
  • Author(s): K.Takaba
  • Organizer: ICROS-SICE International Joint Conference 2009 (ICCAS-SICE2009)
  • Place of Presentation: Fukuoka, Japan
• [Presentation] Lyapunov stability analysis of higher-order 2-D systems (2009)
  • Author(s): C.Kojima, P.Rapisarda, K.Takaba
  • Organizer: ICROS-SICE International Joint Conference 2009 (ICCASSICE2009)
  • Place of Presentation: Fukuoka, Japan
• [Presentation] Regulation in the behavioral framework : A partial interconnection case (2009)
  • Author(s): K.Takaba
  • Organizer: 第9回計測自動制御学会制御部門大会
  • Place of Presentation: 広島
• [Presentation] QDFによるロバスト安定性解析 (2008)
  • Author(s): 鷹羽浄嗣
  • Organizer: 第52回システム制御情報報学会研究発表講演会(SCI'08)
  • Place of Presentation: 京都
  • Year and Date: 2008-05-18
• [Presentation] Output regulation in the behavioral framework (2008)
  • Author(s): K.Takaba
  • Organizer: 17th Triennial IFAC World Congress
  • Place of Presentation: Seoul, Korea
• [Presentation] On rational quadratic differential forms (2008)
  • Author(s): K,Takaba, H.L.Trentelman, J.C.Willems
  • Organizer: 17th Triennial IFAC World Congress
  • Place of Presentation: Seoul, Korea
• [Presentation] On linear canonical controllers within the unfalsified control framework (2008)
  • Author(s): O.Kaneko
  • Organizer: 17th Triennial IFAC World Congress
  • Place of Presentation: Seoul, Korea
• [Presentation] An implementability of hybrid specification with discrete event controllers -2D system theoretic approach in a behavioral framework- (2008)
  • Author(s): O.Kaneko, S.Yamamoto
  • Organizer: SICE Annual Conference 2008 (SICE2008)
  • Place of Presentation: Chofu, Japan
• [Presentation] QDFによるロバスト安定性解析 (2008)
  • Author(s): 鷹羽
  • Organizer: 第52回システム制御情報学会研究発表講演会(SCI'08)
  • Place of Presentation: 京都