Robust iterative observer for source localization for Poisson equation
Type
Conference PaperKAUST Department
Applied Mathematics and Computational Science ProgramComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2017-01-05Online Publication Date
2017-01-05Print Publication Date
2016-12Permanent link to this record
http://hdl.handle.net/10754/622793
Metadata
Show full item recordAbstract
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.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.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/ae974a485f413a2113503eed53cd6c53
10.1109/CDC.2016.7798870