# Time minimal control of batch reactors

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 3, page 407-467
- ISSN: 1292-8119

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topBonnard, 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 -

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