Time minimal control of batch reactors

Bonnard, B., and Launay, G.. "Time minimal control of batch reactors." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 407-467. <http://eudml.org/doc/197377>.

@article{Bonnard2010,
abstract = {
In this article we consider a control system modelling a batch reactor in which three species X1, X2, X3 are reacting according to the scheme X1 → X2 → X3, each reaction being irreversible. The control is the temperature T of the reactions or the derivative of this temperature with respect to time. The terminal constraint is to obtain a given concentration of the product X2 at the end of the batch. The objective of our study is to introduce and to apply all the mathematical tools to compute the time optimal control as a closed-loop function. This work can be used to optimize the yield of chemical batch reactors. },
author = {Bonnard, B., Launay, G.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control; maximum principle; chemical systems; singular extremals; optimal synthesis. ; conjugate points; time-optimal control; batch irreversible chain reaction; switchings; switching functions; focal points; singular extremal; numerical simulation; chemical kinetics},
language = {eng},
month = {3},
pages = {407-467},
publisher = {EDP Sciences},
title = {Time minimal control of batch reactors},
url = {http://eudml.org/doc/197377},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Bonnard, B.
AU - Launay, G.
TI - Time minimal control of batch reactors
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 3
SP - 407
EP - 467
AB - 
In this article we consider a control system modelling a batch reactor in which three species X1, X2, X3 are reacting according to the scheme X1 → X2 → X3, each reaction being irreversible. The control is the temperature T of the reactions or the derivative of this temperature with respect to time. The terminal constraint is to obtain a given concentration of the product X2 at the end of the batch. The objective of our study is to introduce and to apply all the mathematical tools to compute the time optimal control as a closed-loop function. This work can be used to optimize the yield of chemical batch reactors.
LA - eng
KW - Optimal control; maximum principle; chemical systems; singular extremals; optimal synthesis. ; conjugate points; time-optimal control; batch irreversible chain reaction; switchings; switching functions; focal points; singular extremal; numerical simulation; chemical kinetics
UR - http://eudml.org/doc/197377
ER -