• DocumentCode
    2080135
  • Title

    The distance from stability boundary and reflection vectors

  • Author

    Nurges, Ülo ; Rüstern, Ennu

  • Author_Institution
    Inst. of Cybern., Tallinn Tech. Univ., Estonia
  • Volume
    5
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    3908
  • Abstract
    A new stability margin for discrete-time systems is proposed in the system characteristic polynomial coefficient space making use of, so-called, reflection vectors of monic Schur polynomials. Reflection vector margins give the distance (not minimal) to the stability boundary in directions of 2n reflection vectors of an n-th degree polynomial. The stability radius can be found by minimizing the reflection vector margin.
  • Keywords
    discrete time systems; pole assignment; robust control; discrete-time systems; monic Schur polynomials; pole placement; polynomial coefficient space; reflection vectors; robust stability; stability margin; stability radius; Cybernetics; Differential equations; Frequency domain analysis; Polynomials; Reflection; Robust stability; Robustness; Stability criteria; State feedback; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2002. Proceedings of the 2002
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7298-0
  • Type

    conf

  • DOI
    10.1109/ACC.2002.1024539
  • Filename
    1024539