Output feedback control of dissipative distributed processes via microscopic simulations

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A continuous-time feedback controller design methodology is developed for distributed processes, whose dynamic behavior can be described by microscopic evolution rules. Employing the micro-Galerkin method to bridge the gap between the microscopic-level evolution rules and the "coarse" process behavior, "coarse" process steady-states are estimated and nonlinear process models are identified off-line through the solution of a series of nonlinear programs. Subsequently, output feedback controllers are designed, on the basis of the nonlinear process model, that enforce stability in the closed-loop system. The method is used to control a system of coupled nonlinear one-dimensional PDEs (the FitzHugh-Nagumo equations), widely used to describe the formation of patterns in reacting and biological systems. Employing kinetic theory based microscopic realizations of the process, the method is used to design output feedback controllers that stabilize the FitzHugh-Nagumo equations at an unstable, nonuniform in space, steady state.

Original languageEnglish (US)
Pages (from-to)771-782
Number of pages12
JournalComputers and Chemical Engineering
Volume29
Issue number4
DOIs
StatePublished - Mar 15 2005

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Feedback control
Feedback
Controllers
Kinetic theory
Biological systems
Galerkin methods
Closed loop systems

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Computer Science Applications

Cite this

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title = "Output feedback control of dissipative distributed processes via microscopic simulations",
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Output feedback control of dissipative distributed processes via microscopic simulations. / Armaou, Antonios.

In: Computers and Chemical Engineering, Vol. 29, No. 4, 15.03.2005, p. 771-782.

Research output: Contribution to journalArticle

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