Scheduled System Maintenance on December 17th, 2014:
IEEE Xplore will be upgraded between 2:00 and 5:00 PM EST (18:00 - 21:00) UTC. During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

Model-based solution techniques for the source localization problem

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Alpay, M.E. ; Electro Sci. Ind. Inc., Portland, OR, USA ; Shor, M.H.

The problem of locating sources in dynamical systems described by partial differential equations (PDEs) is a particular case of the more general class of inverse problems. Source localization problems are often approached using non-model-based techniques. By using a priori knowledge of system dynamics, model-based approaches to this problem can be developed, reducing the number of sensors required to solve the problem. The paper presents three such approaches: off-line numerical computation of the time response data at the sensor(s) from all possible source locations and functions of source strength, spatial and time discretization of the PDE model, and off-line solution of a dual (“forward”) PDE problem based on the adjoint system model. In each case, a particular algorithm is presented, and analysis of appropriate sensor placement and the minimal number of sensors required is given. In all three approaches, a minimal amount of online processing is required. The relative strengths and shortcomings of the three approaches are discussed and are demonstrated through application to the two-dimensional isotropic heat equation

Published in:

Control Systems Technology, IEEE Transactions on  (Volume:8 ,  Issue: 6 )