• DocumentCode
    306997
  • Title

    Interpolation by polynomials with nonnegative coefficients

  • Author

    Bottema, Murk J. ; Halpern, Mark E. ; Moran, William

  • Author_Institution
    Dept. of Math. & Stat., Flinders Univ. of South Australia, Adelaide, SA, Australia
  • Volume
    3
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    2884
  • Abstract
    We consider the problem of determining whether a polynomial of a given order and having only nonnegative coefficients can be found to interpolate a given set of positive data. This problem arises in the design of maximally robust integrating feedback controllers for linear discrete-time plants and is also relevant to the design of nonovershooting control systems. We present an algorithm for determining whether such a polynomial exists for given interpolation data
  • Keywords
    approximation theory; control system synthesis; discrete time systems; feedback; interpolation; polynomials; robust control; interpolation; linear discrete-time plants; maximally robust integrating feedback controller design; nonnegative coefficients; nonovershooting control systems; polynomials; positive data; Adaptive control; Equations; Feedback control; Interpolation; Mathematics; Polynomials; Robust control; Robust stability; Statistics; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.573558
  • Filename
    573558