• DocumentCode
    3073705
  • Title

    Robust H filtering of uncertain 2D discrete systems

  • Author

    Du, C. ; Xie, L. ; Soh, Y.C.

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
  • Volume
    6
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    4423
  • Abstract
    This paper focuses on the H filtering of two-dimensional (2D) linear discrete systems with norm-bounded parameter uncertainty which appears in both the state and output matrices. The system is described by a 2D local state-space Fornasini-Marchesini second model. For the finite horizon case, a solution to the H filtering is given in terms of two 2D Riccati difference equations. The infinite horizon 2D H filtering is solved via both the algebraic Riccati inequality (ARI) and the linear matrix inequality approaches. The LMI approach is numerically more attractive than the ARI approach
  • Keywords
    Riccati equations; difference equations; discrete time systems; filtering theory; linear systems; matrix algebra; multidimensional systems; state estimation; state-space methods; uncertain systems; 2D systems; Fornasini-Marchesini model; H filtering; Riccati difference equations; algebraic Riccati inequality; discrete time systems; linear matrix inequality; linear systems; robust filtering; state estimation; state-space model; uncertain systems; Attenuation; Boundary conditions; Estimation error; Filtering; Infinite horizon; Noise level; Noise robustness; Nonlinear filters; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1999. Proceedings of the 1999
  • Conference_Location
    San Diego, CA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4990-3
  • Type

    conf

  • DOI
    10.1109/ACC.1999.786411
  • Filename
    786411