High-order sliding mode observer for fractional commensurate linear systems with unknown input

Handle URI:
http://hdl.handle.net/10754/625005
Title:
High-order sliding mode observer for fractional commensurate linear systems with unknown input
Authors:
Belkhatir, Zehor; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
In this paper, a high-order sliding mode observer (HOSMO) is proposed for the joint estimation of the pseudo-state and the unknown input of fractional commensurate linear systems with single unknown input and a single output. The convergence of the proposed observer is proved using a Lyapunov-based approach. In addition, an enhanced variant of the proposed fractional-HOSMO is introduced to avoid the peaking phenomenon and thus to improve the estimation results in the transient phase. Simulation results are provided to illustrate the performance of the proposed fractional observer in both noise-free and noisy cases. The effect of the observer’s gains on the estimated pseudo-state and unknown input is also discussed.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Belkhatir Z, Laleg-Kirati TM (2017) High-order sliding mode observer for fractional commensurate linear systems with unknown input. Automatica 82: 209–217. Available: http://dx.doi.org/10.1016/j.automatica.2017.04.035.
Publisher:
Elsevier BV
Journal:
Automatica
Issue Date:
20-May-2017
DOI:
10.1016/j.automatica.2017.04.035
Type:
Article
ISSN:
0005-1098
Sponsors:
The authors would like to thank the anonymous referees and associate editor for their careful reading and useful suggestions that helped them to improve the quality of this paper. They would also like to thank Professor Mohamed Djemai, from university of Valenciennes et Hainaut-Cambrésis in France, for his valuable suggestions and comments.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0005109817302297
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBelkhatir, Zehoren
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-06-14T12:17:33Z-
dc.date.available2017-06-14T12:17:33Z-
dc.date.issued2017-05-20en
dc.identifier.citationBelkhatir Z, Laleg-Kirati TM (2017) High-order sliding mode observer for fractional commensurate linear systems with unknown input. Automatica 82: 209–217. Available: http://dx.doi.org/10.1016/j.automatica.2017.04.035.en
dc.identifier.issn0005-1098en
dc.identifier.doi10.1016/j.automatica.2017.04.035en
dc.identifier.urihttp://hdl.handle.net/10754/625005-
dc.description.abstractIn this paper, a high-order sliding mode observer (HOSMO) is proposed for the joint estimation of the pseudo-state and the unknown input of fractional commensurate linear systems with single unknown input and a single output. The convergence of the proposed observer is proved using a Lyapunov-based approach. In addition, an enhanced variant of the proposed fractional-HOSMO is introduced to avoid the peaking phenomenon and thus to improve the estimation results in the transient phase. Simulation results are provided to illustrate the performance of the proposed fractional observer in both noise-free and noisy cases. The effect of the observer’s gains on the estimated pseudo-state and unknown input is also discussed.en
dc.description.sponsorshipThe authors would like to thank the anonymous referees and associate editor for their careful reading and useful suggestions that helped them to improve the quality of this paper. They would also like to thank Professor Mohamed Djemai, from university of Valenciennes et Hainaut-Cambrésis in France, for his valuable suggestions and comments.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0005109817302297en
dc.subjectLinear fractional order systemsen
dc.subjectHigh-order sliding mode observeren
dc.subjectEstimationen
dc.subjectPseudo-stateen
dc.subjectUnknown inputen
dc.titleHigh-order sliding mode observer for fractional commensurate linear systems with unknown inputen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalAutomaticaen
kaust.authorBelkhatir, Zehoren
kaust.authorLaleg-Kirati, Taous-Meriemen
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