• DocumentCode
    3337134
  • Title

    Stability analysis of a pendulum based system using contraction analysis

  • Author

    Gandhi, Ravi ; Adhyaru, Dipak

  • fYear
    2011
  • fDate
    8-10 Dec. 2011
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    This paper introduces a new method for deriving the virtual linearized model of a given non-linear system on the basis of convergence. Once the virtual model for a given system is obtained, it is very simple to analyze the behavior of given non-linear system. To represent an idea regarding the concept of contraction analysis an example of simple pendulum system has been taken and the virtual linearized model has been derived with the help of the Contraction analysis.
  • Keywords
    convergence; nonlinear systems; pendulums; stability; contraction analysis; convergence; nonlinear system; pendulum based system; stability analysis; virtual linearized model; Analytical models; Convergence; Equations; Jacobian matrices; Mathematical model; Stability analysis; Trajectory; Contraction Analysis; Jacobian-Matrix; Non-linear Pendulum; Virtual Model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Engineering (NUiCONE), 2011 Nirma University International Conference on
  • Conference_Location
    Ahmedabad, Gujarat
  • Print_ISBN
    978-1-4577-2169-4
  • Type

    conf

  • DOI
    10.1109/NUiConE.2011.6153309
  • Filename
    6153309