• DocumentCode
    2583492
  • Title

    Convex optimization in identification of stable non-linear state space models

  • Author

    Tobenkin, Mark M. ; Manchester, Ian R. ; Wang, Jennifer ; Megretski, Alexandre ; Tedrake, Russ

  • Author_Institution
    Comput. Sci. & Artificial Intell. Lab., Massachusetts Inst. of Technol., Cambridge, MA, USA
  • fYear
    2010
  • fDate
    15-17 Dec. 2010
  • Firstpage
    7232
  • Lastpage
    7237
  • Abstract
    A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the simulation error with respect to equation errors. Basic definitions and analytical results are presented. The utility of the method is illustrated on a simple simulation example as well as experimental recordings from a live neuron.
  • Keywords
    convex programming; nonlinear systems; state-space methods; convex optimization; equation error; nonlinear state space equation; nonlinear system identification; robustness measure; simulation error; stable nonlinear state space model identification; Data models; Equations; Linear systems; Mathematical model; Robustness; Stability analysis; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2010 49th IEEE Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4244-7745-6
  • Type

    conf

  • DOI
    10.1109/CDC.2010.5718114
  • Filename
    5718114