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

Publication Year
2006

Type

Journal Article
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.

Journal
International Journal of Bifurcation and Chaos
Volume
16
Issue
7
Pages
2029-2041
Date Published
07/2006
ISBN
0218-1274
Short Title
Int. J. Bifurcation Chaos