• DocumentCode
    767159
  • Title

    Robust mixed ℋ2/ℋ∞ filtering of 2-D systems

  • Author

    Tuan, Hoang Duong ; Apkarian, Pierre ; Nguyen, Truong Q. ; Narikiyo, Tatsuo

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Toyota Technol. Inst., Nagoya, Japan
  • Volume
    50
  • Issue
    7
  • fYear
    2002
  • fDate
    7/1/2002 12:00:00 AM
  • Firstpage
    1759
  • Lastpage
    1771
  • Abstract
    This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the ℋ∞ and ℋ2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust ℋ∞, ℋ2, and robust mixed ℋ2/ℋ∞ filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples
  • Keywords
    H∞ optimisation; filtering theory; matrix algebra; two-dimensional digital filters; 2D filters; 2D systems; convex LMI characterizations; linear matrix inequality; robust filtering; robust mixed ℋ2/ℋ∞ filtering; two-dimensional systems; Associate members; Filtering; Frequency estimation; IIR filters; Kalman filters; Linear matrix inequalities; Robustness; State estimation; Two dimensional displays; White noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2002.1011215
  • Filename
    1011215
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=767159