• DocumentCode
    646385
  • Title

    Integral Higher Order Sliding Mode and singular optimal stabilization

  • Author

    Fridman, L. ; Jimenez-Lizarraga, Manuel ; Ibarra, Ernesto

  • Author_Institution
    Dept. of Control, Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
  • fYear
    2013
  • fDate
    17-19 July 2013
  • Firstpage
    3760
  • Lastpage
    3763
  • Abstract
    This paper explores the possibilities of the so-called Integral Higher-Order Sliding-Mode (IHOSM) control framework to solve singular optimal stabilization (SOS) problems of arbitrary order for uncertain systems. We connect the order of singularity of SOS with the co-dimension of the set of singular optimal manifold. IHOSM is designed allowing to reach singular optimal manifold in prescribing time moment and ensures SOS. Moreover, this controller provides the insensitivity of trajectory w.r.t. matched bounded uncertainties.
  • Keywords
    control system synthesis; singular optimal control; stability; uncertain systems; variable structure systems; IHOSM control framework; IHOSM design; SOS singularity order; integral higher order sliding mode; matched bounded uncertainties; singular optimal manifold; singular optimal stabilization problem; time moment; uncertain systems; Cost function; Manifolds; Optimal control; Robustness; Silicon; Trajectory; Uncertainty; Singular Optimal Control; Variable Structure System;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2013 European
  • Conference_Location
    Zurich
  • Type

    conf

  • Filename
    6669795