Skip Navigation

IMA Journal of Mathematical Control and Information 2001 18(2):253-268; doi:10.1093/imamci/18.2.253
© 2001 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Ferrara, A.
Right arrow Articles by Giacomini, L.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

First and second order sliding mode control for a class of single-input nonlinear systems with nonmatched uncertainties

Antonella Ferrara1 and Luisa Giacomini1

1 Department of Computer Engineering and Systems Science, University of Pavia, Via Ferrata 1, 27100 Pavia, Italy. Email: ferrara@conpro.unipv.it

The aim of this paper is to propose an extension of the use of sliding mode control in the case of nonlinear systems affine in the control law with nonmatched uncertainties. To this end, the backstepping design procedure is followed to construct a suitable sliding manifold that guarantees the attainment of a stabilization control objective. The construction of the sliding manifold is performed so that the problem of steering the sliding quantity to zero in finite time turns out to be solvable through a first or second order sliding mode control approach and the associated zero dynamics are minimum phase.

Keywords: sliding mode control; uncertain systems; nonlinear systems; nonmatched uncertainty.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.