Localization of Point Sources for Poisson Equation using State Observers

Handle URI:
http://hdl.handle.net/10754/622308
Title:
Localization of Point Sources for Poisson Equation using State Observers
Authors:
Majeed, Muhammad Usman ( 0000-0001-6296-2158 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
A method based On iterative observer design is presented to solve point source localization problem for Poisson equation with riven boundary data. The procedure involves solution of multiple boundary estimation sub problems using the available Dirichlet and Neumann data from different parts of the boundary. A weighted sum of these solution profiles of sub-problems localizes point sources inside the domain. Method to compute these weights is also provided. Numerical results are presented using finite differences in a rectangular domain. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Majeed MU, Laleg-Kirati TM (2016) Localization of Point Sources for Poisson Equation using State Observers. IFAC-PapersOnLine 49: 25–30. Available: http://dx.doi.org/10.1016/j.ifacol.2016.07.413.
Publisher:
Elsevier BV
Journal:
IFAC-PapersOnLine
Issue Date:
9-Aug-2016
DOI:
10.1016/j.ifacol.2016.07.413
Type:
Article
ISSN:
2405-8963
Sponsors:
Research presented in this paper is funded by King Abdullah University of Science and Technology (KAUST), K.S.A.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S2405896316306218
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMajeed, Muhammad Usmanen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-01-02T09:08:25Z-
dc.date.available2017-01-02T09:08:25Z-
dc.date.issued2016-08-09en
dc.identifier.citationMajeed MU, Laleg-Kirati TM (2016) Localization of Point Sources for Poisson Equation using State Observers. IFAC-PapersOnLine 49: 25–30. Available: http://dx.doi.org/10.1016/j.ifacol.2016.07.413.en
dc.identifier.issn2405-8963en
dc.identifier.doi10.1016/j.ifacol.2016.07.413en
dc.identifier.urihttp://hdl.handle.net/10754/622308-
dc.description.abstractA method based On iterative observer design is presented to solve point source localization problem for Poisson equation with riven boundary data. The procedure involves solution of multiple boundary estimation sub problems using the available Dirichlet and Neumann data from different parts of the boundary. A weighted sum of these solution profiles of sub-problems localizes point sources inside the domain. Method to compute these weights is also provided. Numerical results are presented using finite differences in a rectangular domain. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipResearch presented in this paper is funded by King Abdullah University of Science and Technology (KAUST), K.S.A.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S2405896316306218en
dc.subjectState observersen
dc.subjectEstimationen
dc.subjectPoisson equationen
dc.subjectSteady-state diffusion. Point source localizationen
dc.titleLocalization of Point Sources for Poisson Equation using State Observersen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIFAC-PapersOnLineen
kaust.authorMajeed, Muhammad Usmanen
kaust.authorLaleg-Kirati, Taous-Meriemen
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