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Linearising control via FEM scheme of a distributed parameter bioreactor

Nihtila M., Tervo J., Kaipio J. P., Babary J. P.

Archives of Control Sciences

1999

Vol. 9, no. 3/4

135-156

Control of a distributed parameter bioreactor model is studied via linearisations and numerical approximations. Galerkin's finite element method (FEM) is applied to approximate the original nonlinear partial differential equation (PDE) model by an ordinary differential equation (ODE) system. Then linearising control which tracks a given reference is applied in the ODE system. Controllability of the original PDE system and the approximate ODE model are studied via physical considerations and linearisation pointing out a difference in the controllability properties of the two models. Some simulation results based on the FEM approximation by using realistic model parameter values illustrate feasibility of the joint FEM approximation and linearising control technique.