Multi-output dependent observability normal form

This article gives a sufficient condition which guarantees the existence of a reference frame in which a multi-output nonlinear system is linearizable with a linear part depending on its outputs. Our method is based on the design of a reference frame associated with nonlinear observable systems. Mor...

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Bibliographic Details
Published inNonlinear analysis Vol. 70; no. 1; pp. 404 - 418
Main Authors Zheng, G., Boutat, D., Barbot, J.P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 2009
Elsevier
Subjects
Automatic Control Engineering
Combinatorics
Combinatorics. Ordered structures
Computer Science
Designs and configurations
Exact sciences and technology
Left invertibility
Linearization
Mathematical analysis
Mathematics
Normal form
Observer design
Sciences and techniques of general use
Left invertibility
Normal form
Observer design
Linearization
Nonlinear analysis
Invertibility
Mathematical model
Observability
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ISSN0362-546X
1873-5215
DOI10.1016/j.na.2007.12.012

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Summary:This article gives a sufficient condition which guarantees the existence of a reference frame in which a multi-output nonlinear system is linearizable with a linear part depending on its outputs. Our method is based on the design of a reference frame associated with nonlinear observable systems. Moreover, we give a generalization of the result obtained in [D. Boutat, G. Zheng, J.P. Barbot, Observer error linearization multi-output depending, in: Proc. of IEEE CDC 06, 2006] and [G. Zheng, D. Boutat, J.P. Barbot, Single output-dependent observability normal form, SIAM Journal on Control and Optimization 46 (6) (2007)]. And some examples are given in order to illuminate our thinking.
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ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.12.012