• DocumentCode
    257045
  • Title

    Design of fractional order sliding mode controller via non-integer order backstepping by fractional order derivative of Lyapnov function

  • Author

    Takamatsu, Takahiro ; Kubo, Koichi ; Ohmori, Hiromitsu

  • Author_Institution
    Sch. of Integrated Design Eng., Keio Univ., Yokohama, Japan
  • fYear
    2014
  • fDate
    10-12 Aug. 2014
  • Firstpage
    171
  • Lastpage
    174
  • Abstract
    Novel sliding mode control design is proposed for a fractional order system in the presence of disturbance and nonlinear terms on mismatched input channel. This mismatched-channel situation is overcome by using the backstepping method. To authors best knowledge, this is first time to present the noninteger order backstepping approach. In order to demonstrate our design efficiency, some numerical simulations are shown.
  • Keywords
    Lyapunov methods; control nonlinearities; control system synthesis; numerical analysis; variable structure systems; Fractional Order Derivative; Fractional Order Sliding Mode Controller; Lyapunov function; disturbance terms; mismatched input channel; noninteger order backstepping; nonlinear terms; numerical simulations; Approximation methods; Backstepping; Equations; Fractional calculus; Sliding mode control; backstepping; fractional calculus; non-integer order calculus; sliding mode control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Mechatronic Systems (ICAMechS), 2014 International Conference on
  • Conference_Location
    Kumamoto
  • Type

    conf

  • DOI
    10.1109/ICAMechS.2014.6911645
  • Filename
    6911645