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Sensor Network Design for Parameter Estimation of Distributed Systems Using Nonsmooth Optimality Criteria

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1 Author(s)
Uciriski, D. ; Institute of Control and Computation Engineering, University of Zielona Góra, 65-246 Zielona Góra, Poland d.ucinski@issi.uz.zgora.pl

A computational procedure is presented for designing configurations of a measurement network consisting of a large number of stationary sensors collecting data for parameter estimation of a distributed system. Two widely used minimax criteria defined on the Fisher information matrix, namely those of MV-and E-optimality, are considered here as the measures of the estimation accuracy. The approach applied here is to impose constraints on the sensor density in a given spatial domain and to replace the worst-case criteria by their convex smooth approximations. As a result, a fast iterative procedure is obtained whose each step reduces to replacing less informative sensor locations with points which furnish more informaton about the parameters. This planning algorithms is verified by a numerical example on a two-dimensional heat equation.

Published in:

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Date of Conference:

12-15 Dec. 2005