1384608

11509

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 C0 (strongly continuous)-semigroup. The observability analysis based on infinitedimensional system theory shows that any finite number of dominant modes of the system can be made observable by an approximate point measurement.

661

Distributed parameter systems , Tubular (bio)reactor , Observability , Infinite-dimensional system , Sturm–Liouville system

Studia Iranica

669

669