• DocumentCode
    1541449
  • Title

    Hα filtering for discrete-time affine non-linear descriptor systems

  • Author

    Aliyu, M.D.S. ; Perrier, M.

  • Author_Institution
    Depts. of Mech. & Chem. Eng., Ecole Polytech. de Montreal, Montreal, QC, Canada
  • Volume
    6
  • Issue
    6
  • fYear
    2012
  • Firstpage
    787
  • Lastpage
    795
  • Abstract
    In this study, the authors consider the H∞-filtering problem for discrete-time affine non-linear descriptor systems. Two types of filters are discussed; namely, (i) singular, (ii) normal and sufficient conditions for the solvability of the problem in terms of disrete-time Hamilton-Jacobi-Isaacs equations (DHJIEs) are presented. The results are also specialised to linear systems, in which case the DHJIEs reduce to a system of linear-matrix-inequalities (LMIs). Examples are also presented to illustrate the results.
  • Keywords
    H∞ filters; computability; discrete time systems; linear matrix inequalities; linear systems; nonlinear systems; DHJIE; H∞ filtering problem; discrete-time affine nonlinear descriptor systems; disrete-time Hamilton-Jacobi-Isaacs equations; linear systems; linear-matrix-inequalities; normal filter; singular filter; solvability;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2011.0281
  • Filename
    6218257
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1541449