Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system

Handle URI:
http://hdl.handle.net/10754/622373
Title:
Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system
Authors:
Belkhatir, Zehor; Mechhoud, Sarra ( 0000-0002-9362-1046 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
This paper deals with joint parameters and input estimation for coupled PDE-ODE system. The system consists of a damped wave equation and an infinite dimensional ODE. This model describes the spatiotemporal hemodynamic response in the brain and the objective is to characterize brain regions using functional Magnetic Resonance Imaging (fMRI) data. For this reason, we propose an adaptive estimator and prove the asymptotic convergence of the state, the unknown input and the unknown parameters. The proof is based on a Lyapunov approach combined with a priori identifiability assumptions. The performance of the proposed observer is illustrated through some simulation results.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Belkhatir Z, Mechhoud S, Laleg-Kirati T-M (2016) Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system. 2016 American Control Conference (ACC). Available: http://dx.doi.org/10.1109/ACC.2016.7525445.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 American Control Conference (ACC)
Conference/Event name:
2016 American Control Conference, ACC 2016
Issue Date:
5-Aug-2016
DOI:
10.1109/ACC.2016.7525445
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.authorMechhoud, Sarraen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-01-02T09:28:27Z-
dc.date.available2017-01-02T09:28:27Z-
dc.date.issued2016-08-05en
dc.identifier.citationBelkhatir Z, Mechhoud S, Laleg-Kirati T-M (2016) Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system. 2016 American Control Conference (ACC). Available: http://dx.doi.org/10.1109/ACC.2016.7525445.en
dc.identifier.doi10.1109/ACC.2016.7525445en
dc.identifier.urihttp://hdl.handle.net/10754/622373-
dc.description.abstractThis paper deals with joint parameters and input estimation for coupled PDE-ODE system. The system consists of a damped wave equation and an infinite dimensional ODE. This model describes the spatiotemporal hemodynamic response in the brain and the objective is to characterize brain regions using functional Magnetic Resonance Imaging (fMRI) data. For this reason, we propose an adaptive estimator and prove the asymptotic convergence of the state, the unknown input and the unknown parameters. The proof is based on a Lyapunov approach combined with a priori identifiability assumptions. The performance of the proposed observer is illustrated through some simulation results.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleAdaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE systemen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 American Control Conference (ACC)en
dc.conference.date2016-07-06 to 2016-07-08en
dc.conference.name2016 American Control Conference, ACC 2016en
dc.conference.locationBoston, MA, USAen
kaust.authorBelkhatir, Zehoren
kaust.authorMechhoud, Sarraen
kaust.authorLaleg-Kirati, Taous-Meriemen
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