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Original Articles

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

, ORCID Icon & ORCID Icon
Pages 2535-2548 | Received 24 May 2016, Accepted 04 Dec 2016, Published online: 16 Jan 2017
 

ABSTRACT

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.

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

1. In Gonzalez et al. (Citation2012), it is considered that the perturbations are state-dependent but the total time-derivative of the perturbation is assumed a priori to be bounded.

Additional information

Funding

The authors are grateful for the financial support of Consejo Nacional de Ciencia y Tecnología (CONACyT) [CVU 425551, Project 241171]; PAPIIT-UNAM (Programa de Apoyo a Proyectos de Investigacíon e Innovación Tecnológica) [IN 113216]; Universidad Nacional Autónoma de México (Programa de Cooperación FI-II) [Project IISGBAS-100-2015].

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