http://orcid.org/0000-0003-0208-3615
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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.
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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].