Linearising control via FEM scheme of a distributed parameter bioreactor

• Autorzy: Nihtila M. , Tervo J. , Kaipio J. P. , Babary J. P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

parameter estimation; nonlinear systems; distributed parameter bioreactors; orthogonal collocation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 1999
• Tom: Vol. 9, no. 3/4
• Strony: 135--156
• Opis fizyczny: Bibliogr. 41 poz., schem., wykr.

Twórcy

autor

Nihtila M.

• Department of Computer Science and Applied Mathematics, University of Kuopio, P.O.B 1627, FIN-70211 Kuopio, Finland

autor

Tervo J.

• Department of Computer Science and Applied Mathematics, University of Kuopio, P.O.B 1627, FIN-70211 Kuopio, Finland

autor

Kaipio J. P.

• Department of Applied Physics, University of Kuopio

autor

Babary J. P.

• Laboratoire d’Analyse et d’Architecture des Systèmes Centre National de la Recherche Scientifique 7, Avenue du Colonel Roche, F-31077 Toulouse Cedex 4, France

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