A parallel sensor selection technique for identification of distributed parameter systems subject to correlated observations

  • Authors:
  • Przemysław Baranowski;Dariusz Uciński

  • Affiliations:
  • University of Zielona Góra, Computer Centre;University of Zielona Góra, Institute of Control and Computation Engineering, Zielona Góra, Poland

  • Venue:
  • PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
  • Year:
  • 2007

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Abstract

The paper considers the problem of determining optimal sensors locations so as to estimate unknown parameters in a class of distributed parameter systems when the measurement errors are correlated. Given a finite set of possible sensor positions, the problem is formulated as the selection of the gaged sites so as to maximize the log-determinant of the Fisher information matrix associated with the estimated parameters. The search for the optimal solution is performed using a GRASP method combined with a multipoint exchange algorithm. In order to alleviate the problem of excessive computational costs for large-scale problems, a parallel version of the GRASP solver is developed aimed at computations on a Linux cluster of PCs. The resulting numerical scheme is validated on a simulation example.