A new perspective on stable inversion of non-minimum phase nonlinear systems

A new perspective on stable inversion of non-minimum phase nonlinear systems

We present a new perspective on the problem of stable inversion of nonlinear non-minimum phase systems. It is based on the notion of convergent systems. The machinery of convergent systems allows us to obtain novel qualitative and quantitative conditions for solving this problem. These conditions pr...

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Bibliographic Details
Main Authors: Alexey Pavlov, Kristin Y. Pettersen
Format: Article
Language:English
Published: Norwegian Society of Automatic Control 2008-01-01
Series:Modeling, Identification and Control
Subjects:
Stable inversion
non-minimum phase systems
nonlinear systems
Online Access:http://www.mic-journal.no/PDF/2008/MIC-2008-1-3.pdf
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spelling doaj-9ab0ca496659457a89742313555384ce2020-11-24T22:40:06ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13282008-01-01291293510.4173/mic.2008.1.3A new perspective on stable inversion of non-minimum phase nonlinear systemsAlexey PavlovKristin Y. PettersenWe present a new perspective on the problem of stable inversion of nonlinear non-minimum phase systems. It is based on the notion of convergent systems. The machinery of convergent systems allows us to obtain novel qualitative and quantitative conditions for solving this problem. These conditions provide insight into the dynamics behind the stable inversion problem and make it possible to treat this problem in a non-local way. Qualitatively, they cover the conditions for the stable inversion of non-minimum phase nonlinear systems previously reported in literature and allow us to solve this problem for a broader class of systems. The proposed approach is supported with a novel computational method. http://www.mic-journal.no/PDF/2008/MIC-2008-1-3.pdfStable inversionnon-minimum phase systemsnonlinear systems
collection DOAJ
language English
format Article
sources DOAJ
author Alexey Pavlov
Kristin Y. Pettersen
spellingShingle Alexey Pavlov
Kristin Y. Pettersen
A new perspective on stable inversion of non-minimum phase nonlinear systems
Modeling, Identification and Control
Stable inversion
non-minimum phase systems
nonlinear systems
author_facet Alexey Pavlov
Kristin Y. Pettersen
author_sort Alexey Pavlov
title A new perspective on stable inversion of non-minimum phase nonlinear systems
title_short A new perspective on stable inversion of non-minimum phase nonlinear systems
title_full A new perspective on stable inversion of non-minimum phase nonlinear systems
title_fullStr A new perspective on stable inversion of non-minimum phase nonlinear systems
title_full_unstemmed A new perspective on stable inversion of non-minimum phase nonlinear systems
title_sort new perspective on stable inversion of non-minimum phase nonlinear systems
publisher Norwegian Society of Automatic Control
series Modeling, Identification and Control
issn 0332-7353
1890-1328
publishDate 2008-01-01
description We present a new perspective on the problem of stable inversion of nonlinear non-minimum phase systems. It is based on the notion of convergent systems. The machinery of convergent systems allows us to obtain novel qualitative and quantitative conditions for solving this problem. These conditions provide insight into the dynamics behind the stable inversion problem and make it possible to treat this problem in a non-local way. Qualitatively, they cover the conditions for the stable inversion of non-minimum phase nonlinear systems previously reported in literature and allow us to solve this problem for a broader class of systems. The proposed approach is supported with a novel computational method.
topic Stable inversion
non-minimum phase systems
nonlinear systems
url http://www.mic-journal.no/PDF/2008/MIC-2008-1-3.pdf
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