Equation-free gaptooth-based controller design for distributed complex/multiscale processes

Antonios Armaou, Ioannis G. Kevrekidis, Constantinos Theodoropoulos

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

We present and illustrate a systematic computational methodology for the design of linear coarse-grained controllers for a class of spatially distributed processes. The approach targets systems described by micro- or mesoscopic evolution rules, for which coarse-grained, macroscopic evolution equations are not explicitly available. In particular, we exploit the smoothness in space of the process "coarse" variables ("observables") to estimate the unknown macroscopic system dynamics. This is accomplished through appropriately initialized and connected ensembles of micro/mesoscopic simulations realizing a relatively small portion of the macroscopic spatial domain (the so-called gaptooth scheme). Our illustrative example consists of designing discrete-time, coarse linear controllers for a Lattice-Boltzmann model of a reaction-diffusion process (a kinetic-theory based realization of the FitzHugh-Nagumo equation in one spatial dimension).

Original languageEnglish (US)
Pages (from-to)731-740
Number of pages10
JournalComputers and Chemical Engineering
Volume29
Issue number4
DOIs
StatePublished - Mar 15 2005

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Computer Science Applications

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