Robust control of stationary planar fronts in reaction-diffusion systems

Yelena Smagina*, Moshe Sheintuch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper considers a new approach to construct a feedback controller that stabilizes a front line solution of a nonlinear parabolic distributed (reaction-diffusion) system in a planar domain. The controller incorporates several space-dependent actuators that respond to sensors located at the front position. Sensor numbers and its locations are chosen by the multivariable root-locus technique for the finite-dimensional approximation of the original PDE model. The concept of finite and infinite zeros of linear multidimensional systems is used. The theoretical results are confirmed by computer simulations.

Original languageEnglish
Title of host publicationROCOND'06 - 5th IFAC Symposium on Robust Control Design, Final Program with Abstracts
PublisherIFAC Secretariat
Number of pages6
EditionPART 1
ISBN (Print)9783902661104
StatePublished - 2006
Externally publishedYes

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
ISSN (Print)1474-6670


  • Front stabilization
  • Reaction-diffusion processes
  • Root-locus method
  • System zeros


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