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Application of the substrate consumption rate to the monitoring of distributed parameter bioreactors

Czeczot J., Metzger M., Babary J., Nihtilae M.

Control and Cybernetics

2001

Vol. 30, no 1

81-98

This paper deals with the idea of estimation of the substrate consumption rate at each point of the tube of the classical distributed parameter bioreactor and its application to the monitoring of this system. It is shown how to approximate the profile of this parameter on the basis of the orthogonal collocation method and the recursive least-squares procedure with adjustable forgetting factor. Then, it is suggested how to apply this profile for monitoring of the bioreactor work (calculation of the current mass flux of the substrate being reacted in the reactor tube and of the total mass of the substrate reacted in the bioreactor tube during its activity). The idea presented in this paper ivas validated by means of the computer simulation and the results proving its very good performance complete the paper.

Parameter and state variable estimation of nonlinear distributed parameter bioreactors

Boubaker O., Babary J.

Archives of Control Sciences

1999

Vol. 9, no. 3/4

93-110

Due to a lack of on-line reliable sensors, the measurement of biological variables such as biomass concentration and its specific growth rate, is not possible; this fact can be a difficulty, mainly when considering state feedback control problems. The aim of this paper consists of designing an estimator of biological variables and parameters in the case of a nonlinear distributed parameter bioreactor. By applying an orthogonal collocation method, the distributed parameter model is transformed into a lumped parameter model. Then, a joint estimator of time-varying parameters and state variables is designed by using asymptotic stability properties. Simulation runs show the feasibility and the robustness of the estimator designed for this nonlinear process.