• DocumentCode
    3743782
  • Title

    Stabilization of chain of integrators with arbitrary order in finite-time

  • Author

    Konstantin Zimenko;Andrey Polyakov;Denis Efimov

  • Author_Institution
    Department of Control Systems and Informatics, ITMO University, 49 Kronverkskiy av., 197101 Saint Petersburg, Russia
  • fYear
    2015
  • Firstpage
    4637
  • Lastpage
    4641
  • Abstract
    A control algorithm for finite-time stabilization of a chain of integrators with arbitrary order is introduced. The method is based on Implicit Lyapunov Function (ILF) approach with applying properties of homogeneous systems. Scheme of control parameter tuning is presented in Linear Matrix Inequality (LMI) form. The method is simple in implementation and does not assume any additional computational on-line procedures that is an improvement with respect to [8], [11]. The theoretical results are supported by numerical simulations.
  • Keywords
    "Lyapunov methods","Stability analysis","Tuning","Linear matrix inequalities","Symmetric matrices","Control design"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7402942
  • Filename
    7402942
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3743782