Local stabilization of minimum-phase nonlinear systems
type: Item
instance of: scholarly article
title: Local stabilization of minimum-phase nonlinear systems
zbMATH Open document ID: 0649.93030
DOI: 10.1016/0167-6911(88)90105-3
author: A. Isidori
author: C. I. Byrnes
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: After summarizing the definition and computation of the zero dynamics of a nonlinear control system satisfying an invertibility assumption, a system is defined to be minimum phase if the zero dynamics is asymptotically stable. It is observed that minimum phase systems can be easily made asymptotically stable by feedback assuming that the \(m\times m\) matrix with (i,j)-th element \(<dh_ i,g_ j>\), with \(h_ i\) the i- th output function and \(g_ j\) the j-th input vectorfield, has rank m. If this assumption is not satisfied then it is shown that new output functions can be constructed for which the assumption holds and the minimum phase property is preserved, thereby yielding as before a stabilizing feedback.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4061084
zbMATH Keywords: center manifold theory
zbMATH Keywords: zero dynamics
zbMATH Keywords: nonlinear control system
zbMATH Keywords: invertibility
zbMATH Keywords: minimum phase systems
zbMATH Keywords: feedback
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90105-3
OpenAlex ID: W2035943077
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description: scientific article; zbMATH DE number 4061084