Observability analysis of a nonlinear tubular bioreactor
(2002) MTNS-02: 15th International Symposium on Mathematical Theory of Networks and Systems — Location: Notre Dame, IN, USA (12.August.2002)
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- Abstract
- In this paper an observability analysis is performed for an axial dispersion tubular bioreactor that involves one nonlinear growth reaction. The process is described by a semilinear parabolic partial differential equation (PDE). More precisely, the analysis is performed on a tangent linearized model, that is described by a linear PDE with a spatial-dependent coefficient. It is reported that the associated linear infinite-dimensional operator is a Riesz-spectral operator and generates a C/sub 0/-semigroup. Then it is shown that a finite number of dominant modes of the system are observable when the substrate concentration is measured at the reactor output by an appropriate sensor. This result is confirmed by a numerical simulation.
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Delattre, C., Dochain, D., & Winkin, J. (2002). Observability analysis of a nonlinear tubular bioreactor. In Gilliam, D.S.; Rosenthal, J.; (ed.), Proceedings Fifteenth International Symposium on Mathematical Theory ofNetworks and Systems (p. p. 1-9). Univ. notre dame. https://hdl.handle.net/2078.5/223784