• DocumentCode
    1403253
  • Title

    Accuracy of Homogeneous Sliding Modes in the Presence of Fast Actuators

  • Author

    Levant, Arie ; Fridman, Leonid M.

  • Author_Institution
    Sch. of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel
  • Volume
    55
  • Issue
    3
  • fYear
    2010
  • fDate
    3/1/2010 12:00:00 AM
  • Firstpage
    810
  • Lastpage
    814
  • Abstract
    It is shown that the higher the order r of the homogeneous sliding mode is, the less sensitive it is to the presence of unaccounted-for fast stable actuators. With ?? being an infinitesimal actuator time constant, the sliding variable magnitude is proved to be proportional to ??r . The system chattering is shown to be not amplified in the presence of actuators.
  • Keywords
    actuators; stability; variable structure systems; fast stable actuator; homogeneous sliding mode; infinitesimal actuator time constant; sliding variable magnitude; system chattering; Actuators; Cities and towns; Control engineering; Delay; Mathematical model; Noise robustness; Output feedback; Region 10; Sliding mode control; State feedback; Switching frequency; Chattering; high-order sliding mode; singular perturbation; sliding-mode control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2010.2040512
  • Filename
    5406047