A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm

Richard Seeber, Martin Horn, Leonid Fridman

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

The super-twisting algorithm is a well-known technique in the field of sliding mode control or observation. In this contribution, an exact analytic expression for this algorithm's finite reaching time in the unperturbed case is derived. Based on this derivation, a novel estimation for the upper bound of the algorithm's reaching time the presence of perturbations is presented. The considered perturbations may be composed of additive components that are either Lipschitz continuous in time or Hölder continuous in the sliding variable. Both analytically and in the course of numerical examples the new strategy is shown to yield significant improvements compared to existing reaching time estimates.
Originalspracheenglisch
Seiten (von - bis)4301-4308
FachzeitschriftIEEE Transactions on Automatic Control
Jahrgang63
Ausgabenummer12
DOIs
PublikationsstatusVeröffentlicht - 2018

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Sliding mode control

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    Fields of Expertise

    • Information, Communication & Computing

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    A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm. / Seeber, Richard; Horn, Martin; Fridman, Leonid.

    in: IEEE Transactions on Automatic Control, Jahrgang 63, Nr. 12, 2018, S. 4301-4308.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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