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Well-posedness and sliding mode control

Published online by Cambridge University Press:  15 March 2005

Tullio Zolezzi*
Affiliation:
Dipartimento di Matematica, via Dodecaneso 35, 16146 Genova, Italy; [email protected]
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Abstract

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

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2005

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