Localization of Point Sources for Poisson Equation using State Observers

M. U. Majeed; T. M. Laleg-Kirati

doi:10.1016/j.ifacol.2016.07.413

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Localization of Point Sources for Poisson Equation using State Observers

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Localization of Point Sources for Poisson Equation using State Observers

M. U. Majeed and T. M. Laleg-Kirati

IFAC PAPERSONLINE, Vol.49(8), pp.25-30

01/01/2016

DOI: https://doi.org/10.1016/j.ifacol.2016.07.413

Abstract

Automation & Control Systems

Science & Technology

Technology

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.

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Title: Localization of Point Sources for Poisson Equation using State Observers
Creators - without role: M. U. Majeed - King Abdullah University of Science and Technology
T. M. Laleg-Kirati - King Abdullah University of Science and Technology
Publication Details: IFAC PAPERSONLINE, Vol.49(8), pp.25-30
Publisher: Elsevier
Number of pages: 6
Grant note: King Abdullah University of Science and Technology (KAUST), K.S.A; King Abdullah University of Science & Technology
Identifiers: 9944758608331
Academic Unit: King Abdullah University of Science & Technology
Language: English
Resource Type: Conference proceeding