On control of nonlinear distributed parameter bioreactors

A distributed parameter fixed-bed bioreactor model with axial diffusion is presented. An orthogonal collocation method is applied to obtain a lumped parameter model, i.e. a system of ordinary differential equations, which consists of one subset for the biomass concentration and the other for the sub...

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Bibliographic Details
Published in:Mathematics and computers in simulation 1994-11, Vol.37 (2), p.173-181
Main Authors: Tali-Maamar, N., Nihtilä, M.T., Babary, J.P.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Controller design
Distributed parameter bioreactor
Exact sciences and technology
Mathematics
Modelling and identification
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Numerical methods in probability and statistics
Order reduction parameter
Orthogonal collocation
Sciences and techniques of general use
Static feedback control
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Summary:A distributed parameter fixed-bed bioreactor model with axial diffusion is presented. An orthogonal collocation method is applied to obtain a lumped parameter model, i.e. a system of ordinary differential equations, which consists of one subset for the biomass concentration and the other for the substrate concentration. An order reduction parameter of the model is developed, giving a qualitative correlation between the number of collocation points and the accuracy of the steady state solution. The sensitivity of a static state feedback control law is introduced. Some simulation results are presented.
ISSN:0378-4754
1872-7166
DOI:10.1016/0378-4754(94)90015-9