TY - JOUR
T1 - An equation-free approach to nonlinear control
T2 - Coarse feedback linearization with pole-placement
AU - Siettos, Constantinos I.
AU - Kevrekidis, Ioannis G.
AU - Kazantzis, Nikolaos
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2006/7
Y1 - 2006/7
N2 - 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.
AB - 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.
KW - Equation-free
KW - Feedback linearization
KW - Microscopic/stochastic systems
KW - Nonlinear control
UR - http://www.scopus.com/inward/record.url?scp=33748520913&partnerID=8YFLogxK
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U2 - 10.1142/S0218127406015878
DO - 10.1142/S0218127406015878
M3 - Article
AN - SCOPUS:33748520913
VL - 16
SP - 2029
EP - 2041
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
SN - 0218-1274
IS - 7
ER -