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Practical stability and stabilizability of switched and hybrid systems

Research Project

Project/Area Number 21560471
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionShibaura Institute of Technology (2010-2011)
Osaka Prefecture University (2009)

Principal Investigator

ZHAI Guisheng  芝浦工業大学, システム理工学部, 准教授 (30304190)

Co-Investigator(Kenkyū-buntansha) KOBAYASHI Tomoaki  大阪府立大学, 工学研究科, 助教 (70364023)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords制御理論 / 切替えシステム / ハイブリッドシステム / 実用安定性 / 実用安定化 / ε-実用安定(化) / 漸近安定性 / ディスクリプタシステム / 切替え積分器 / 吸引性(attractivity) / 切替えディスクリプシステム / 切替え積分器(PWS) / 切替えディスクリプタシステム
Research Abstract

In this research, we have considered practical stability and stabilizability for switched and hybrid systems composed of several subsystems that do not have common equilibrium points. Practical stability is an extension to "finite time stability" and "ultimate boundedness", which aims at convergence to a specified small region around certain desired equilibrium point. The main contribution is to analyze practical stability and to establish practical stabilizability algorithms for switched nonlinear systems including switched integrators, switched affine systems. Furthermore, with the behavior of general Lyapunov asymptotical stability in mind, we have extended the discussion to asymptotical practical stability for switched and hybrid systems, and have proposed effective algorithms for the purpose of asymptotical practical stabilizability.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (28 results)

All 2011 2010 2009

All Journal Article (14 results) (of which Peer Reviewed: 14 results) Presentation (12 results) Book (2 results)

  • [Journal Article] A New Consensus Algorithm for Multi-Agent Systems via Decentralized Dynamic Output Feedback2011

    • Author(s)
      Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi
    • Journal Title

      Journal of Intelligent & Robotic Systems

      Volume: Vol.63, No.2 Issue: 2 Pages: 309-322

    • DOI

      10.1007/s10846-010-9458-z

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Commutation Condition for Stability Analysis of Switched Linear Descriptor Systems2011

    • Author(s)
      Guisheng Zhai, Xuping Xu
    • Journal Title

      Nonlinear Analysis : Hybrid Systems

      Volume: Vol.5, No.3 Issue: 3 Pages: 383-393

    • DOI

      10.1016/j.nahs.2011.02.002

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Towards Consensus in Networked Nonholonomic Systems2010

    • Author(s)
      Guisheng Zhai, Junya Takeda, Joe Imae, Tomoaki Kobayashi
    • Journal Title

      IET Control Theory & Applications

      Volume: Vol.4, No.10 Issue: 10 Pages: 2212-2218

    • DOI

      10.1049/iet-cta.2009.0658

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Unified Approach to Stability Analysis of Switched Linear Descriptor Systems under Arbitrary Switching2010

    • Author(s)
      Guisheng Zhai, Xuping Xu
    • Journal Title

      International Journal of Applied Mathematics and Computer Science

      Volume: Vol.20, No.2 Issue: 2 Pages: 249-259

    • DOI

      10.2478/v10006-010-0018-2

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some Results on Practical Stabilizability of Discrete-Time Switched Affine Systems2010

    • Author(s)
      Xuping Xu, Guisheng Zhai, Shouling He
    • Journal Title

      Nonlinear Analysis : Hybrid Systems

      Volume: Vol.4, No.1 Issue: 1 Pages: 113-121

    • DOI

      10.1016/j.nahs.2009.08.005

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Some Results on Practical Stabilizability of Discrete-Time Switched Affine Systems2010

    • Author(s)
      Xuping Xu, サイ貴生, Shouling He
    • Journal Title

      Nonlinear Analysis : Hybrid Systems

      Volume: 4 Pages: 113-121

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Unified Approach to Stability Analysis of Switched Linear Descriptor Systems under Arbitrary Switching2010

    • Author(s)
      サイ貴生, Xuping Xu
    • Journal Title

      International Journal of Applied Mathematics and Computer Science

      Volume: 20 Pages: 249-259

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards Consensus in Networked Nonholonomic Systems2010

    • Author(s)
      サイ貴生, 竹田順哉, 井前譲, 小林友明
    • Journal Title

      IET Control Theory & Applications

      Volume: 4 Pages: 2212-2218

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Qualitative Analysis of Switched Discrete-Time Descriptor Systems2009

    • Author(s)
      Guisheng Zhai, Xuping Xu, Joe Imae, Tomoaki Kobayashi
    • Journal Title

      International Journal of Control, Automation, and Systems

      Volume: Vol.7, No.4 Issue: 4 Pages: 512-519

    • DOI

      10.1007/s12555-009-0402-6

    • NAID

      130006981730

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Note on Multiple Lyapunov Functions and Stability Condition for Switched and Hybrid Systems2009

    • Author(s)
      Guisheng Zhai, Isatada Matsune, Joe Imae, Tomoaki Kobayashi
    • Journal Title

      International Journal of Innovative Computing, Information and Control

      Volume: Vol.5, No.5 Pages: 1189-1199

    • URL

      http://www.ijicic.org/

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability Analysis and Design for Switched Descriptor Systems2009

    • Author(s)
      Guisheng Zhai, Ryuuen Kou, Joe Imae, Tomoaki Kobayashi
    • Journal Title

      International Journal of Control, Automation, and Systems

      Volume: Vol.7, No.3 Issue: 3 Pages: 349-355

    • DOI

      10.1007/s12555-009-0303-8

    • NAID

      130004667872

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability analysis and design for switched descriptor systems2009

    • Author(s)
      サイ貴生, 黄龍淵, 井前讓, 小林友明
    • Journal Title

      International Journal of Control, Automation, and Systems 7

      Pages: 349-355

    • NAID

      130004667872

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on multiple Lyapunov functions and stability condition for switched and hybrid systems2009

    • Author(s)
      サイ貴生, 松根功忠, 井前讓, 小林友明
    • Journal Title

      International Journal of Innovative Computing, Information and Control 5

      Pages: 1189-1199

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Qualitative analysis of switched discrete-time descriptor systems2009

    • Author(s)
      サイ貴生, Xuping Xu, 井前讓, 小林友明
    • Journal Title

      International Journal of Control, Automation, and Systems 7

      Pages: 512-519

    • NAID

      130006981730

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] An Approach to Simultaneous Realization of Neutral Steer and Sideslip Reduction for Four-Wheeled Electric Vehicles2011

    • Author(s)
      サイ貴生
    • Organizer
      2011 IEEE International Conference on Mechatronics and Automation
    • Place of Presentation
      中国北京
    • Year and Date
      2011-08-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] Stability of Switched Linear Discrete-Time Descriptor Systems : A Commutation Condition2011

    • Author(s)
      サイ貴生
    • Organizer
      2011 American Control Conference
    • Place of Presentation
      San Francisco, USA
    • Year and Date
      2011-06-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] An Approach to Simultaneous Realization of Neutral Steer and Sideslip Reduction for Four-Wheeled Electric Vehicles2011

    • Author(s)
      Guisheng Zhai, Masayuki Naka, Tomoaki Kobayashi, Joe Imae
    • Organizer
      Proceedings of 2011 IEEE International Conference on Mechatronics and Automation
    • Place of Presentation
      Beijing, China
    • Related Report
      2011 Final Research Report
  • [Presentation] Stability of Switched Linear Discrete-Time Descriptor Systems : A Commutation Condition2011

    • Author(s)
      Guisheng Zhai, Xuping Xu, Daniel W. C. Ho
    • Organizer
      Proceedings of 2011 American Control Conference
    • Place of Presentation
      San Francisco, USA
    • Related Report
      2011 Final Research Report
  • [Presentation] Commutation Condition for Stability Analysis of Switched Linear Descriptor Systems2010

    • Author(s)
      サイ貴生(Guisheng Zhai)
    • Organizer
      The 25^<th> IEEE International Symposium on Intelligent Control
    • Place of Presentation
      パシフィコ横浜
    • Year and Date
      2010-09-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] An Approach to Achieving Consensus in Nonholonomic Systems2010

    • Author(s)
      サイ貴生(Guisheng Zhai)
    • Organizer
      The 25^<th> IEEE International Symposium on Intelligent Control
    • Place of Presentation
      パシフィコ横浜
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Commutation Condition for Stability Analysis of Switched Linear Descriptor Systems2010

    • Author(s)
      Guisheng Zhai, Xuping Xu
    • Organizer
      Proceedings of the 25th IEEE International Symposium on Intelligent Control
    • Place of Presentation
      Yokohama, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] An Approach to Achieving Consensus in Nonholonomic Systems2010

    • Author(s)
      Guisheng Zhai, Yunya Takeda, Joe Imae, Tomoaki Kobayashi
    • Organizer
      Proceedings of the 25th IEEE International Symposium on Intelligent Control
    • Place of Presentation
      Yokohama, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] A unified approach to analysis of switched linear descriptor systems under arbitrary switching2009

    • Author(s)
      サイ貴生(Guisheng Zhai)
    • Organizer
      The 48^<th> IEEE Conference on Decision and Control
    • Place of Presentation
      中国上海国際会議場
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] On practical stabilizability of discrete-time switched affine systems2009

    • Author(s)
      サイ貴生(Guisheng Zhai)
    • Organizer
      The 48^<th>IEEE Conference on Decision and Control
    • Place of Presentation
      中国上海国際会議場
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Unified Approach to Analysis of Switched Linear Descriptor Systems Under Arbitrary Switching2009

    • Author(s)
      Guisheng Zhai, Xuping Xu
    • Organizer
      Proceedings of The 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Related Report
      2011 Final Research Report
  • [Presentation] On Practical Stabilizability of Discrete-Time Switched Affine Systems2009

    • Author(s)
      Xuping Xu, Guisheng Zhai, Shouling He
    • Organizer
      Proceedings of The 48th IEEE Conference on Decision and Control
    • Place of Presentation
      Shanghai, China
    • Related Report
      2011 Final Research Report
  • [Book] Stability and L_2 Gain Analysis of Switched Linear Discrete-Time Descriptor Systems,(ed.) Mario Alberto Jordan, Discrete Time Systems(ISBN : 978-953-307-200-5)2011

    • Author(s)
      Guisheng Zhai
    • Publisher
      InTech Education and Publishing
    • Related Report
      2011 Final Research Report
  • [Book] Discrete Time Systems (ISBN : 978-953-307-200-5)第19章担当(pp.337-350)2011

    • Author(s)
      サイ貴生
    • Total Pages
      526
    • Publisher
      InTech Education and Publishing
    • Related Report
      2011 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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