Parameters and Fractional Differentiation Orders Estimation for Linear Continuous-Time Non-Commensurate Fractional Order Systems

Handle URI:
http://hdl.handle.net/10754/623960
Title:
Parameters and Fractional Differentiation Orders Estimation for Linear Continuous-Time Non-Commensurate Fractional Order Systems
Authors:
Belkhatir, Zehor; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
This paper proposes a two-stage estimation algorithm to solve the problem of joint estimation of the parameters and the fractional differentiation orders of a linear continuous-time fractional system with non-commensurate orders. The proposed algorithm combines the modulating functions and the first-order Newton methods. Sufficient conditions ensuring the convergence of the method are provided. An error analysis in the discrete case is performed. Moreover, the method is extended to the joint estimation of smooth unknown input and fractional differentiation orders. The performance of the proposed approach is illustrated with different numerical examples. Furthermore, a potential application of the algorithm is proposed which consists in the estimation of the differentiation orders of a fractional neurovascular model along with the neural activity considered as input for this model.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Submitted to Elsevier
Issue Date:
31-May-2017
DOI:
10.1016/j.sysconle.2018.02.012
Appears in Collections:
Other/General Submission

Full metadata record

DC FieldValue Language
dc.contributor.authorBelkhatir, Zehoren
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2018-05-01T13:40:42Z-
dc.date.available2017-05-31T12:32:00Z-
dc.date.available2018-05-01T13:40:42Z-
dc.date.issued2017-05-31-
dc.identifier.doi10.1016/j.sysconle.2018.02.012-
dc.identifier.urihttp://hdl.handle.net/10754/623960-
dc.description.abstractThis paper proposes a two-stage estimation algorithm to solve the problem of joint estimation of the parameters and the fractional differentiation orders of a linear continuous-time fractional system with non-commensurate orders. The proposed algorithm combines the modulating functions and the first-order Newton methods. Sufficient conditions ensuring the convergence of the method are provided. An error analysis in the discrete case is performed. Moreover, the method is extended to the joint estimation of smooth unknown input and fractional differentiation orders. The performance of the proposed approach is illustrated with different numerical examples. Furthermore, a potential application of the algorithm is proposed which consists in the estimation of the differentiation orders of a fractional neurovascular model along with the neural activity considered as input for this model.en
dc.language.isoenen
dc.publisherSubmitted to Elsevieren
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleParameters and Fractional Differentiation Orders Estimation for Linear Continuous-Time Non-Commensurate Fractional Order Systemsen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPre-printen
kaust.authorBelkhatir, Zehoren
kaust.authorLaleg-Kirati, Taous-Meriemen

Version History

VersionItem Editor Date Summary
2 10754/623960wangh0e2018-05-01 09:01:15.181Published with DOI
1 10754/623960.1belkhaz2017-05-31 12:32:00.0
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