Robust iterative observer for source localization for Poisson equation

Handle URI:
http://hdl.handle.net/10754/622793
Title:
Robust iterative observer for source localization for Poisson equation
Authors:
Majeed, Muhammad Usman ( 0000-0001-6296-2158 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
Source localization problem for Poisson equation with available noisy boundary data is well known to be highly sensitive to noise. The problem is ill posed and lacks to fulfill Hadamards stability criteria for well posedness. In this work, first a robust iterative observer is presented for boundary estimation problem for Laplace equation, and then this algorithm along with the available noisy boundary data from the Poisson problem is used to localize point sources inside a rectangular domain. The algorithm is inspired from Kalman filter design, however one of the space variables is used as time-like. Numerical implementation along with simulation results is detailed towards the end.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Majeed MU, Laleg-Kirati TM (2016) Robust iterative observer for source localization for Poisson equation. 2016 IEEE 55th Conference on Decision and Control (CDC). Available: http://dx.doi.org/10.1109/CDC.2016.7798870.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE 55th Conference on Decision and Control (CDC)
Issue Date:
5-Jan-2017
DOI:
10.1109/CDC.2016.7798870
Type:
Conference Paper
Sponsors:
Research work presented in this paper was funded by King Abdullah University of Science and Technology (KAUST).
Additional Links:
http://ieeexplore.ieee.org/document/7798870/
Appears in Collections:
Conference Papers; 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.accessioned2017-01-29T13:51:39Z-
dc.date.available2017-01-29T13:51:39Z-
dc.date.issued2017-01-05en
dc.identifier.citationMajeed MU, Laleg-Kirati TM (2016) Robust iterative observer for source localization for Poisson equation. 2016 IEEE 55th Conference on Decision and Control (CDC). Available: http://dx.doi.org/10.1109/CDC.2016.7798870.en
dc.identifier.doi10.1109/CDC.2016.7798870en
dc.identifier.urihttp://hdl.handle.net/10754/622793-
dc.description.abstractSource localization problem for Poisson equation with available noisy boundary data is well known to be highly sensitive to noise. The problem is ill posed and lacks to fulfill Hadamards stability criteria for well posedness. In this work, first a robust iterative observer is presented for boundary estimation problem for Laplace equation, and then this algorithm along with the available noisy boundary data from the Poisson problem is used to localize point sources inside a rectangular domain. The algorithm is inspired from Kalman filter design, however one of the space variables is used as time-like. Numerical implementation along with simulation results is detailed towards the end.en
dc.description.sponsorshipResearch work presented in this paper was funded by King Abdullah University of Science and Technology (KAUST).en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7798870/en
dc.subjectAlgorithm design and analysisen
dc.subjectLaplace equationsen
dc.subjectNoise measurementen
dc.subjectObserversen
dc.subjectPoisson equationsen
dc.subjectRobustnessen
dc.titleRobust iterative observer for source localization for Poisson equationen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE 55th Conference on Decision and Control (CDC)en
kaust.authorMajeed, Muhammad Usmanen
kaust.authorLaleg-Kirati, Taous-Meriemen
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