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Design of a nonlinear observer using the finite element method with application to a biological system

Branislav Rehak, Volodymyr Lynnyk
An observer for a nonlinear biological system β€” biomass production in a bioreactor β€”is proposed. The specific growth rate is estimated. The key point of the observer design is finding a solution of a certain partial differential equation. Conditions guaranteeing existence of its solution are presented. The solution is approximated using finite element method. The results are illustrated by a numerical example.
CYBERNETICS AND PHYSICS, Vol. 8, Is. 4, 2019, 292–297, https://doi.org/10.35470/2226-4116-2019-8-4-292-297
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