Journal Article

Continuous adaptive finite reaching time control and second-order sliding modes

Y. Shtessel, J. Kochalummoottil, C. Edwards and S. Spurgeon

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 30, issue 1, pages 97-113
Published in print March 2013 | ISSN: 0265-0754
Published online July 2012 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dns013
Continuous adaptive finite reaching time control and second-order sliding modes

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This paper focuses on the design of adaptive finite reaching time control for first- and second-order dynamic systems with perturbation terms given in a regressive form. The uncertainties considered here are assumed to be bounded with unknown bounds. The proposed adaptive finite reaching time controllers not only retain robustness to these disturbances, but also are continuous. The proposed finite reaching time adaptive control algorithms are interpreted as continuous second-order sliding mode control laws. Simulation results demonstrate the efficacy of the proposed algorithms.

Keywords: adaptive control; finite reaching time; second-order sliding modes

Journal Article.  0 words. 

Subjects: Mathematics

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