Control of Traveling Solutions in a Loop-Reactor

Y. Smagina; M. Sheintuch

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 6, Issue: 1, page 209-225
  • ISSN: 0973-5348

Abstract

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We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-data controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model.

How to cite

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Smagina, Y., and Sheintuch, M.. "Control of Traveling Solutions in a Loop-Reactor." Mathematical Modelling of Natural Phenomena 6.1 (2010): 209-225. <http://eudml.org/doc/197651>.

@article{Smagina2010,
abstract = {We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-data controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model.},
author = {Smagina, Y., Sheintuch, M.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {moving pulses; network of chemical reactors; loop-reactor; distributed systems; control; root-locus method; system zeros; dynamic sampled-data controller},
language = {eng},
month = {6},
number = {1},
pages = {209-225},
publisher = {EDP Sciences},
title = {Control of Traveling Solutions in a Loop-Reactor},
url = {http://eudml.org/doc/197651},
volume = {6},
year = {2010},
}

TY - JOUR
AU - Smagina, Y.
AU - Sheintuch, M.
TI - Control of Traveling Solutions in a Loop-Reactor
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/6//
PB - EDP Sciences
VL - 6
IS - 1
SP - 209
EP - 225
AB - We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-data controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model.
LA - eng
KW - moving pulses; network of chemical reactors; loop-reactor; distributed systems; control; root-locus method; system zeros; dynamic sampled-data controller
UR - http://eudml.org/doc/197651
ER -

References

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