Control design for suppressing transversal patterns in reaction-(convection)-diffusion systems

Yelena Smagina*, Olga Nekhamkina, Moshe Sheintuch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The stabilization of planar stationary fronts solutions in a two-dimensional rectangular or cylinder domain, in which a diffusion-convection-reaction process occurs, is studied by reducing the original two-variable PDEs model to an approximate one-dimensional model that describes the behavior of the front line. We consider the control strategy based on sensors placed at the designed front line position and actuators that are spatially-uniform or space dependent. We present a systematic control design that determines the number of required sensors and actuators, their position and their form. The control used linear analysis of a lumped truncated model and concepts of finite and infinite zeros of linear multidimensional systems.

Original languageEnglish
Pages (from-to)913-921
Number of pages9
JournalJournal of Process Control
Issue number9
StatePublished - Oct 2006
Externally publishedYes


  • Control
  • Planar front
  • Reaction-convection-diffusion processes
  • Root-locus method
  • System zeros
  • Transversal patterns


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