Observability Measures for Nonlinear Systems

Shen Zeng

doi:10.1109/CDC.2018.8619722

Observability Measures for Nonlinear Systems

Shen Zeng

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

In this paper, the nonlinear observability problem is revisited and studied in a novel framework that is particularly well-suited for the consideration of different practical aspects of the corresponding state estimation problem. In establishing this framework, we highlight connections between fundamental theoretical aspects of the general observability problem with more quantitative considerations similar to those encountered in numerical analysis. A key result of our novel analysis of the observability problem is the introduction of quantitative observability measures for nonlinear systems as a generalization of the notion of observability gramians for linear systems.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4668-4673
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619722
State	Published - Jul 2 2018
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: Dec 17 2018 → Dec 19 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	12/17/18 → 12/19/18

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10.1109/CDC.2018.8619722

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title = "Observability Measures for Nonlinear Systems",

abstract = "In this paper, the nonlinear observability problem is revisited and studied in a novel framework that is particularly well-suited for the consideration of different practical aspects of the corresponding state estimation problem. In establishing this framework, we highlight connections between fundamental theoretical aspects of the general observability problem with more quantitative considerations similar to those encountered in numerical analysis. A key result of our novel analysis of the observability problem is the introduction of quantitative observability measures for nonlinear systems as a generalization of the notion of observability gramians for linear systems.",

author = "Shen Zeng",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

year = "2018",

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doi = "10.1109/CDC.2018.8619722",

language = "English",

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Zeng, S 2018, Observability Measures for Nonlinear Systems. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619722, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 4668-4673, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619722

Observability Measures for Nonlinear Systems. / Zeng, Shen.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4668-4673 8619722 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In this paper, the nonlinear observability problem is revisited and studied in a novel framework that is particularly well-suited for the consideration of different practical aspects of the corresponding state estimation problem. In establishing this framework, we highlight connections between fundamental theoretical aspects of the general observability problem with more quantitative considerations similar to those encountered in numerical analysis. A key result of our novel analysis of the observability problem is the introduction of quantitative observability measures for nonlinear systems as a generalization of the notion of observability gramians for linear systems.

AB - In this paper, the nonlinear observability problem is revisited and studied in a novel framework that is particularly well-suited for the consideration of different practical aspects of the corresponding state estimation problem. In establishing this framework, we highlight connections between fundamental theoretical aspects of the general observability problem with more quantitative considerations similar to those encountered in numerical analysis. A key result of our novel analysis of the observability problem is the introduction of quantitative observability measures for nonlinear systems as a generalization of the notion of observability gramians for linear systems.

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ER -

Observability Measures for Nonlinear Systems

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