4.4 Article

Super-Twisting Algorithm in presence of time and state dependent perturbations

Journal

INTERNATIONAL JOURNAL OF CONTROL
Volume 91, Issue 11, Pages 2535-2548

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2016.1269952

Keywords

Sliding modes; super-twisting algorithm

Funding

  1. Consejo Nacional de Ciencia y Tecnologia (CONACyT) [CVU 425551, 241171]
  2. PAPIIT-UNAM(Programa de Apoyo a Proyectos de Investigacion e Innovacion Tecnologica) [IN 113216]
  3. Universidad Nacional Autonoma de Mexico (Programa de Cooperacion FI-II) [IISGBAS-100-2015]

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In this paper, generalized Super-Twisting Algorithm is applied to a class of systems whose perturbation and uncertain control coefficient are time- and state-dependent. A non-smooth strict Lyapunov function is used to obtain the conditions for the global finite-time stability and to estimate the time of convergence.

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