State/noise estimator for descriptor systems with application to sensor fault diagnosis

Gao, Zhiwei, Gao, Zhiwei and Ho, Daniel W. C. (2006) State/noise estimator for descriptor systems with application to sensor fault diagnosis. IEEE Transactions on Signal Processing, 54 (4). pp. 1316-1326. ISSN 1053-587X

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Abstract

For descriptor systems with measurement output noises (input disturbances may exist at the same time), a new descriptor estimator technique is developed. The necessary and sufficient condition for the existence of the present estimator is derived, and a systematic design approach is addressed. The effect of uncertainties is decoupled completely, and the asymptotic estimates of the descriptor system state and the output noise are obtained simultaneously. Furthermore, a normal state/disturbance estimator is also given. For a class of nonlinear descriptor systems with both output noises and input uncertainties, a nonlinear descriptor estimator is derived by using the proposed design approach, together with the linear matrix inequality technique. The existence and convergence of the nonlinear descriptor estimator is proven. The asymptotic estimates of the descriptor nonlinear system state and the output noise are obtained at the same time. The present estimators are applied to the sensor fault diagnosis, and hence the sensor fault can be estimated asymptotically. Finally, two numerical examples are included to illustrate the proposed design procedures and applications.

Item Type:	Article
Subjects:	H100 General Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Dr Zhiwei Gao
Date Deposited:	26 Oct 2012 08:41
Last Modified:	12 Oct 2019 19:06
URI:	http://nrl.northumbria.ac.uk/id/eprint/10002

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