H-optimal control for a class of reaction-diffusion equations

John E. Dzielski, Mark L. Nagurka

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates the control of laminar combustion processes represented by a class of one–dimensional, non-linear, reaction–diffusion equations. The control objective is to regulate the spatial location of a propagating flame front dynamically by varying the fuel-air velocity. It is shown that when viewed from an input–output perspective, the problem is equivalent to the control of a system consisting of linear elements and a single time-varying non–linear element. The system is controlled using a linear compensator that is designed based on an H (minimax) optimality criterion.

Original languageEnglish
Pages (from-to)1947-1960
Number of pages14
JournalInternational Journal of Control
Volume47
Issue number6
DOIs
StatePublished - 1 Jan 1988
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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