• DocumentCode
    1125648
  • Title

    A Dissipation Inequality for the Minimum Phase Property

  • Author

    Ebenbauer, Christian ; Allgower, F.

  • Author_Institution
    Massachusetts Inst. of Technol., Cambridge
  • Volume
    53
  • Issue
    3
  • fYear
    2008
  • fDate
    4/1/2008 12:00:00 AM
  • Firstpage
    821
  • Lastpage
    826
  • Abstract
    The minimum phase property is an important notion in systems and control theory. In this paper, a characterization of the minimum phase property of nonlinear control systems in terms of a dissipation inequality is derived. It is shown that this dissipation inequality is equivalent to the classical definition of the minimum phase property in the sense of Byrnes and Isidori, if the control system is affine in the input and the so-called input-output normal form exists.
  • Keywords
    nonlinear control systems; dissipation inequality; minimum phase property; nonlinear control systems; Automatic control; Control design; Control system analysis; Control systems; Control theory; Feedback; Laboratories; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Dissipation inequality; minimum phase property; nonlinear systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.919517
  • Filename
    4484196