An equation-free approach to nonlinear control: Coarse feedback linearization with pole-placement

Constantinos I. Siettos, Ioannis G. Kevrekidis, Nikolaos Kazantzis

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the solution of a functional equation involving the macroscopic (coarse-grained) system model. In the absence of such a closed-form model, short, appropriately initialized bursts of microscopic simulation are designed and performed, and their results used to estimate on demand the quantities required for the numerical solution of the (explicitly unavailable) functional equation. Our illustrative example is a kinetic Monte Carlo realization of a simplified heterogeneous catalytic reaction scheme.

Original languageEnglish (US)
Pages (from-to)2029-2041
Number of pages13
JournalInternational Journal of Bifurcation and Chaos
Volume16
Issue number7
DOIs
StatePublished - Jul 2006

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Keywords

  • Equation-free
  • Feedback linearization
  • Microscopic/stochastic systems
  • Nonlinear control

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