Open AccessDesign of a nonlinear observer using the finite element method with application to a biological system
Author(s) -
Branislav Rehák,
Volodymyr Lynnyk
Publication year - 2019
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2019-8-4-292-297
Subject(s) - nonlinear system , observer (physics) , finite element method , partial differential equation , mathematics , control theory (sociology) , mathematical analysis , computer science , engineering , physics , structural engineering , control (management) , quantum mechanics , artificial intelligence
An observer for a nonlinear biological system — biomass production in a bioreactor —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.