• DocumentCode
    762807
  • Title

    Comments on "On the stabilization and observation of nonlinear/uncertain dynamic systems

  • Author

    Qu, Zhihua ; Dorsey, Julie ; Zak, Stanislaw H.

  • Author_Institution
    Univ. of Central Florida, Orlando, FL, USA
  • Volume
    36
  • Issue
    11
  • fYear
    1991
  • Firstpage
    1342
  • Lastpage
    1343
  • Abstract
    The commenter indicates that stabilization and observation of uncertain and/or nonlinear dynamic systems without matching conditions were investigated in the above-mentioned work by S.H. Zak (see ibid. vol.35, no.5, p.604-7 (1990)). Stabilizing feedback controllers and observers have been proposed. The discussion is based on lemma 1 proved therein. The commenters believe the lemma is incorrect. Since the results presented are based on this lemma, the results are also incorrect. This is indicated by an example and the subsequent discussion. The author admits that lemma 1 is incorrect. Hence, theorem 1 and also theorem 2 which are based on lemma 1 are incorrect. The correct formulation of lemma 1 is presented.<>
  • Keywords
    State estimation; feedback; nonlinear control systems; stability; state estimation; feedback controllers; nonlinear dynamic systems; observation; observers; stability; stabilization; uncertain dynamic systems; Adaptive control; Eigenvalues and eigenfunctions; Singular value decomposition;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.100954
  • Filename
    100954