Configuration of measurement systems using Shannon's entropy function

Authors:
Y. Robert-Nicoud;B. Raphael;I. F. C. Smith
Affiliations:
EPFL-Swiss Federal Institute of Technology, IMAC, ENAC, CH-1015 Lausanne, Switzerland;EPFL-Swiss Federal Institute of Technology, IMAC, ENAC, CH-1015 Lausanne, Switzerland;EPFL-Swiss Federal Institute of Technology, IMAC, ENAC, CH-1015 Lausanne, Switzerland
Venue:
Computers and Structures
Year:
2005

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Abstract

This paper presents a generic methodology for measurement system configuration when the goal is to identify the behaviour models that reasonably explain observations. For such tasks, the best measurement system provides maximum separation between candidate models. In this work, the degree of separation between models is measured using Shannon's Entropy Function. The location and type of measurement devices are chosen such that the entropy of candidate models is greatest. This methodology has been tested on a laboratory structure and, to demonstrate generality, an existing fresh water supply network in a town in Switzerland. In both cases, the methodology suggests an appropriate set of sensors for identifying the state of the system.