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Well-posedness and sliding mode control

Published online by Cambridge University Press:  15 March 2005

Tullio Zolezzi
Tullio Zolezzi*
Affiliation:
Dipartimento di Matematica, via Dodecaneso 35, 16146 Genova, Italy; zolezzi@dima.unige.it
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Abstract

Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability. Making use of this link, new approximability criteria are obtained for nonlinear sliding mode control systems.

Keywords

Sliding mode controlTikhonov well-posednessapproximability.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 11 , Issue 2 , April 2005 , pp. 219 - 228
Copyright
© EDP Sciences, SMAI, 2005

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