Control of traveling solutions in a loop-reactor

Y. Smagina*, M. Sheintuch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)209-225
Number of pages17
JournalMathematical Modelling of Natural Phenomena
Issue number1
StatePublished - Jan 2011
Externally publishedYes


  • control
  • distributed systems
  • loop-reactor
  • moving pulses
  • network of chemical reactors
  • root-locus method
  • system zeros


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