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Finite-time output stabilization with second order sliding modes

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons83886

Dinuzzo,  F
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Dinuzzo, F. (2009). Finite-time output stabilization with second order sliding modes. Automatica, 45(9), 2169-2171. doi:10.1016/j.automatica.2009.05.015.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-C2E4-6
Abstract
In this note, a class of discontinuous feedback laws that switch over branches of parabolas in the auxiliary state plane is analyzed. Conditions are provided under which controllers belonging to this class are second order sliding-mode algorithms: they ensure uniform global finite-time output stability for uncertain systems of relative degree two.