Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system

Handle URI:
http://hdl.handle.net/10754/621320
Title:
Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system
Authors:
Belkhatir, Zehor; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
This paper deals with the joint estimation of the unknown input and the fractional differentiation orders of a linear fractional order system. A two-stage algorithm combining the modulating functions with a first-order Newton method is applied to solve this estimation problem. First, the modulating functions approach is used to estimate the unknown input for a given fractional differentiation orders. Then, the method is combined with a first-order Newton technique to identify the fractional orders jointly with the input. To show the efficiency of the proposed method, numerical examples illustrating the estimation of the neural activity, considered as input of a fractional model of the neurovascular coupling, along with the fractional differentiation orders are presented in both noise-free and noisy cases.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Belkhatir Z, Laleg-Kirati T-M (2015) Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system. 2015 IEEE Conference on Control Applications (CCA). Available: http://dx.doi.org/10.1109/CCA.2015.7320660.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 IEEE Conference on Control Applications (CCA)
Conference/Event name:
IEEE Conference on Control and Applications, CCA 2015
Issue Date:
5-Nov-2015
DOI:
10.1109/CCA.2015.7320660
Type:
Conference Paper
Appears in Collections:
Conference Papers; 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.accessioned2016-11-03T06:57:37Z-
dc.date.available2016-11-03T06:57:37Z-
dc.date.issued2015-11-05en
dc.identifier.citationBelkhatir Z, Laleg-Kirati T-M (2015) Joint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate system. 2015 IEEE Conference on Control Applications (CCA). Available: http://dx.doi.org/10.1109/CCA.2015.7320660.en
dc.identifier.doi10.1109/CCA.2015.7320660en
dc.identifier.urihttp://hdl.handle.net/10754/621320-
dc.description.abstractThis paper deals with the joint estimation of the unknown input and the fractional differentiation orders of a linear fractional order system. A two-stage algorithm combining the modulating functions with a first-order Newton method is applied to solve this estimation problem. First, the modulating functions approach is used to estimate the unknown input for a given fractional differentiation orders. Then, the method is combined with a first-order Newton technique to identify the fractional orders jointly with the input. To show the efficiency of the proposed method, numerical examples illustrating the estimation of the neural activity, considered as input of a fractional model of the neurovascular coupling, along with the fractional differentiation orders are presented in both noise-free and noisy cases.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleJoint estimation of the fractional differentiation orders and the unknown input for linear fractional non-commensurate systemen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2015 IEEE Conference on Control Applications (CCA)en
dc.conference.date21 September 2015 through 23 September 2015en
dc.conference.nameIEEE Conference on Control and Applications, CCA 2015en
kaust.authorBelkhatir, Zehoren
kaust.authorLaleg-Kirati, Taous-Meriemen
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