• DocumentCode
    3431889
  • Title

    A new stability result for the feedback interconnection of negative imaginary systems with a pole at the origin

  • Author

    Mabrok, Mohamed A. ; Kallapur, Abhijit G. ; Petersen, Ian R. ; Lanzon, Alexander

  • Author_Institution
    School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy Canberra ACT 2600, Australia
  • fYear
    2011
  • fDate
    12-15 Dec. 2011
  • Firstpage
    3753
  • Lastpage
    3757
  • Abstract
    This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which remains true even if the transfer function has poles on the imaginary axis including the origin. A sufficient condition for the internal stability of a feedback interconnection for NI systems including a pole at the origin is given and an illustrative example is presented to support the result.
  • Keywords
    Force; Frequency response; Nickel; Numerical stability; Stability analysis; Transfer functions; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
  • Conference_Location
    Orlando, FL, USA
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-61284-800-6
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2011.6160738
  • Filename
    6160738