Quantitative fault estimation for a class of nonlinear systems

K. Vijayaraghavan; R. Rajamani; Jozsef Bokor

doi:10.1109/acc.2006.1657539

Quantitative fault estimation for a class of nonlinear systems

K. Vijayaraghavan, R. Rajamani, Jozsef Bokor

Mechanical Engineering

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

2 Scopus citations

Abstract

This paper develops a methodology for actuator fault diagnostics and quantitative estimation of fault signals in a class of nonlinear systems. The class of nonlinear systems considered is one in which the nonlinearity is an incremental quadratic type of nonlinearity that includes Lipschitz, positive real and sector nonlinear functions. The methodology provides for both state estimation and fault vector estimation. An LMI procedure can be utilized for explicit computation of the observer gains. The procedure developed can also be specialized to linear time invariant systems. Compared to previous results for LTI systems, the procedure developed herein does not require the LTI system to be minimum phase. The use of the developed methodology is demonstrated through an illustrative example of a real world physical application.

Original language	English (US)
Title of host publication	Proceedings of the 2006 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5147-5152
Number of pages	6
ISBN (Print)	1424402107, 9781424402106
DOIs	https://doi.org/10.1109/acc.2006.1657539
State	Published - 2006
Event	2006 American Control Conference - Minneapolis, MN, United States Duration: Jun 14 2006 → Jun 16 2006

Publication series

Name	Proceedings of the American Control Conference
Volume	2006
ISSN (Print)	0743-1619

Other

Other	2006 American Control Conference
Country/Territory	United States
City	Minneapolis, MN
Period	6/14/06 → 6/16/06

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10.1109/acc.2006.1657539

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Quantitative fault estimation for a class of nonlinear systems. / Vijayaraghavan, K.; Rajamani, R.; Bokor, Jozsef.

Proceedings of the 2006 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2006. p. 5147-5152 1657539 (Proceedings of the American Control Conference; Vol. 2006).

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

Vijayaraghavan, K, Rajamani, R & Bokor, J 2006, Quantitative fault estimation for a class of nonlinear systems. in Proceedings of the 2006 American Control Conference., 1657539, Proceedings of the American Control Conference, vol. 2006, Institute of Electrical and Electronics Engineers Inc., pp. 5147-5152, 2006 American Control Conference, Minneapolis, MN, United States, 6/14/06. https://doi.org/10.1109/acc.2006.1657539

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AB - This paper develops a methodology for actuator fault diagnostics and quantitative estimation of fault signals in a class of nonlinear systems. The class of nonlinear systems considered is one in which the nonlinearity is an incremental quadratic type of nonlinearity that includes Lipschitz, positive real and sector nonlinear functions. The methodology provides for both state estimation and fault vector estimation. An LMI procedure can be utilized for explicit computation of the observer gains. The procedure developed can also be specialized to linear time invariant systems. Compared to previous results for LTI systems, the procedure developed herein does not require the LTI system to be minimum phase. The use of the developed methodology is demonstrated through an illustrative example of a real world physical application.

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Quantitative fault estimation for a class of nonlinear systems

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