• DocumentCode
    1507235
  • Title

    Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

  • Author

    Gao, X. ; Teo, Kok Lay ; Duan, Guang-Ren ; Zhang, Xiaobing

  • Author_Institution
    Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China
  • Volume
    5
  • Issue
    5
  • fYear
    2011
  • Firstpage
    713
  • Lastpage
    720
  • Abstract
    This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.
  • Keywords
    discrete time systems; linear matrix inequalities; robust control; discrete time descriptor polytopic systems; linear matrix inequalities; robust stability;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2010.0145
  • Filename
    5759119
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1507235