Optimal sensor placement for parameter identification
Master of Arts
This thesis surveys methods for determining sensor locations which maximize the achievable accuracy in parameter estimation of differential equations. The approach considers the placement of sensors as an experimental design problem. The optimal sensor locations are found based on the so-called Fisher Information Matrix. After illustration of the general methodology, a particular algorithm is presented which finds optimal weights associated with a given set of potential sensor locations. Numerical results are provided to show that improvements in the accuracy of parameter estimates can be achieved using the ideas reviewed in this thesis.
Mathematics; Statistics; System science