We consider a time optimal control problem arisen from the optimal management of a bioreactor devoted to the treatment of eutrophicated water. We formulate this realistic problem as a state-control constrained time optimal control problem. After analyzing the state system (a complex system of coupled partial differential equations with non-smooth coefficients for advection-diffusion-reaction with Michaelis-Menten kinetics, modelling the eutrophication processes) we demonstrate the existence of,...
We consider a time optimal control problem arisen from the optimal
management of a bioreactor devoted to the treatment of
eutrophicated water. We formulate this realistic problem as a
state-control constrained time optimal control problem. After
analyzing the state system (a complex system of coupled partial
differential equations with non-smooth coefficients for
advection-diffusion-reaction with Michaelis-Menten kinetics,
modelling the eutrophication processes) we demonstrate the
existence of,...
The main goal of this paper is to show some applications of the optimal control theory to the wastewater elimination problem. Firstly, we deal with the numerical simulation of a given situation. We present a suitable mathematical model, propose a method to solve it and show the numerical results for a realistic situation in the (Spain). Secondly, in the same framework of wastewater elimination problem, we pose two economic-environmental problems which can be formulated as constrained optimal control...
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