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

Jane Teergele and Kourosh Danai

International Journal of Systems Science, 2015, vol. 46, issue 16, 2939-2954

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.

Date: 2015
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DOI: 10.1080/00207721.2014.884251

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