Equation-free optimal switching policies for bistable reacting systems

Antonios Armaou, Ioannis G. Kevrekidis

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

In the context of the recently developed equation-free modelling framework, we present a computer-assisted approach to locating approximate coarse optimal switching policies between stationary states of chemically reacting systems described by microscopic/stochastic evolution rules. The coarse time-stepper constitutes a bridge between the underlying stochastic simulation and traditional, continuum numerical optimization techniques formulated in discrete time. The approach is illustrated on a simple CO oxidation on Pt catalytic surface reaction model, implemented through the Gillespie stochastic simulation algorithm. The objective sought is to switch between two coexisting stable stationary states by minimal manipulation of a macroscopic system parameter.

Original languageEnglish (US)
Pages (from-to)713-726
Number of pages14
JournalInternational Journal of Robust and Nonlinear Control
Volume15
Issue number15
DOIs
StatePublished - Oct 1 2005

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Keywords

  • Coarse timesteppers
  • Dynamic optimization
  • Equation-free
  • Hooke-Jeeves
  • Kinetic Monte-Carlo

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