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Selection of outputs for distributed parameter systems by identifiability analysis in the time-scale domain

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  • Jane Teergele
  • Kourosh Danai

Abstract

A method of sensor location selection is introduced for distributed parameter systems. In this method, the sensitivities of spatial outputs to model parameters are computed by a model and transformed via continuous wavelet transforms into the time-scale domain to characterise the shape attributes of output sensitivities and accentuate their differences. Regions are then sought in the time-scale plane wherein the wavelet coefficient of an output sensitivity surpasses all the others’ as indication of the output sensitivity’s distinctness. This yields a comprehensive account of identifiability each output provides to the model parameters as the basis of output selection. The proposed output selection strategy is demonstrated for a numerical case of pollutant dispersion by advection and diffusion in a two-dimensional area.

Suggested Citation

  • Jane Teergele & Kourosh Danai, 2015. "Selection of outputs for distributed parameter systems by identifiability analysis in the time-scale domain," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(16), pages 2939-2954, December.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2939-2954
    DOI: 10.1080/00207721.2014.884251
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    References listed on IDEAS

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    1. Walter, Eric & Pronzato, Luc, 1996. "On the identifiability and distinguishability of nonlinear parametric models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(2), pages 125-134.
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