• DocumentCode
    1786353
  • Title

    Lyapunov functions for Twisting and Terminal controllers

  • Author

    Sanchez, Tonametl ; Moreno, Jaime A.

  • Author_Institution
    Inst. de Ing., Univ. Nac. Autonoma de Mexico (UNAM), Coyoacán, Mexico
  • fYear
    2014
  • fDate
    June 29 2014-July 2 2014
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    In this work, homogeneous Lyapunov functions for the Second Order Sliding Mode algorithms “Twisting” and “Terminal” are designed. Such functions are obtained using a systematic and constructive method. The designing method and the Lyapunov functions provide sets of gains that guarantee finite time stability of the system´s origin in the disturbed case. It is also proved that the conditions for the controller´s gains are even necessary and sufficient.
  • Keywords
    Lyapunov methods; control system synthesis; stability; variable structure systems; Lyapunov functions; constructive method; control design method; controller gains; finite time stability; necessary condition; second order sliding mode algorithms; sufficient condition; systematic method; terminal controllers; twisting controllers; Algorithm design and analysis; Convergence; Design methodology; Lyapunov methods; Stability analysis; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Variable Structure Systems (VSS), 2014 13th International Workshop on
  • Conference_Location
    Nantes
  • Type

    conf

  • DOI
    10.1109/VSS.2014.6881136
  • Filename
    6881136
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1786353