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

Siettos, CI; Kevrekidis, IG; Kazantzis, N

dc.contributor.author	Siettos, CI	en
dc.contributor.author	Kevrekidis, IG	en
dc.contributor.author	Kazantzis, N	en
dc.date.accessioned	2014-03-01T01:23:34Z
dc.date.available	2014-03-01T01:23:34Z
dc.date.issued	2006	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17026
dc.subject	Equation-free	en
dc.subject	Feedback linearization	en
dc.subject	Microscopic/stochastic systems	en
dc.subject	Nonlinear control	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Catalysis	en
dc.subject.other	Computation theory	en
dc.subject.other	Computer simulation	en
dc.subject.other	Feedback	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Random processes	en
dc.subject.other	Equation-free	en
dc.subject.other	Feedback linearization	en
dc.subject.other	Microscopic/stochastic systems	en
dc.subject.other	Nonlinear control	en
dc.subject.other	Nonlinear control systems	en
dc.title	An equation-free approach to nonlinear control: Coarse feedback linearization with pole-placement	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127406015878	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127406015878	en
heal.language	English	en
heal.publicationDate	2006	en
heal.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. © World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127406015878	en
dc.identifier.isi	ISI:000240860400011	en
dc.identifier.volume	16	en
dc.identifier.issue	7	en
dc.identifier.spage	2029	en
dc.identifier.epage	2041	en