Observability analysis of nonlinear tubular (bio)reactor models: a case study
(2004) Journal of Process Control — Vol. 14, n° 6, p. 661-669 (2004)
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- Abstract
- This paper deals with the observability analysis of nonlinear tubular bioreactor models. Due to the lack of tools for the observability analysis of nonlinear infinite-dimensional systems, the analysis is performed on a linearized version of the model around some steady-state profile, in which coefficients can be functions of the spatial variable. The study starts from an example of tubular bioreactor that will serve as a case study in the present paper. It is shown that such linear models with coefficients dependent on the spatial variable are Sturm-Liouville systems and that the associated linear infinite-dimensional system dynamics are described by a Riesz-spectral operator that generates a C-0 (strongly continuous)-semigroup. The observability analysis based on infinite-dimensional system theory shows that any finite number of dominant modes of the system can be made observable by an approximate point measurement. (C) 2003 Elsevier Ltd. All rights reserved.
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Delattre, C., Dochain, D., & Winkin, J. (2004). Observability analysis of nonlinear tubular (bio)reactor models: a case study. Journal of Process Control, 14(6), 661-669. https://doi.org/10.1016/j.jprocont.2003.10.006 (Original work published 2004)