• DocumentCode
    2245395
  • Title

    A dynamic programming approach to the approximation of nonlinear L2-gain

  • Author

    Dower, Peter M. ; Kellett, Christopher M.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
  • fYear
    2008
  • fDate
    9-11 Dec. 2008
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    A generalization of the L2-gain inequality based on nonlinear gains is considered. Using optimization and dynamic programming to characterize lower bounds for the minimal gain function for which this nonlinear L2-gain inequality holds, a technique for computation of nonlinear L2-gain bounds is proposed. Some simple illustrative examples are explored.
  • Keywords
    approximation theory; control system synthesis; dynamic programming; gain control; nonlinear control systems; approximation theory; dynamic programming approach; minimal gain function; nonlinear L2-gain inequality; optimization; Dynamic programming; Energy measurement; Frequency domain analysis; Frequency measurement; Gain measurement; Linear systems; Nonlinear equations; Nonlinear systems; Riccati equations; Stability; L2-gain analysis; dynamic programming; nonlinear systems; optimization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
  • Conference_Location
    Cancun
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3123-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2008.4738990
  • Filename
    4738990