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Nonlinear observability and observer design through state augmentation
Viegas D.1; Batista P.1; Oliveira P.1; Silvestre C.1,2
2014
Conference Name53rd IEEE Annual Conference on Decision and Control (CDC)
Source PublicationProceedings of the IEEE Conference on Decision and Control
Volume2015-February
IssueFebruary
Pages133-138
Conference DateDEC 15-17, 2014
Conference PlaceLos Angeles, CA
CountryUSA
Author of SourceIEEE
Publication Place345 E 47TH ST, NEW YORK, NY 10017 USA
PublisherIEEE
Abstract

This paper addresses the problems of observability analysis and state observer design for nonlinear systems based on the study of linear systems which mimic their dynamics. It is shown that, if a nonlinear system can be related to a linear system through an appropriate transformation of the state variables, the observability analysis of the linear system can determine observability or non-observability of the nonlinear system, depending on the properties of the state transformation function. Conditions are also derived for state observers for the linear systems to double as state observers for the original nonlinear systems, as well as retaining exponential stability properties. To illustrate the usefulness of those results, several application examples are detailed.

DOI10.1109/CDC.2014.7039371
URLView the original
Language英语
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000370073800022
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Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Affiliation1.Instituto Superior Técnico
2.Universidade de Macau
Recommended Citation
GB/T 7714
Viegas D.,Batista P.,Oliveira P.,et al. Nonlinear observability and observer design through state augmentation[C]//IEEE. 345 E 47TH ST, NEW YORK, NY 10017 USA:IEEE,2014:133-138.
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