Fault estimation for nonlinear descriptor systems with Lipschitz constraints via LMI approach

Zhiwei Gao; Steven X. Ding

doi:10.1016/B978-008044485-7/50011-7

Fault estimation for nonlinear descriptor systems with Lipschitz constraints via LMI approach

Zhiwei Gao^*, Steven X. Ding

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

By using the linear matrix inequality (LMI), for a nonlinear descriptor system with Lipschitz constraint, a state-space observer is designed to simultaneously estimate the descriptor system states, the fault signals, and the finite times derivatives of the faults. For a nonlinear descriptor system with bounded input disturbances, a robust state-space observer is proposed to simultaneously estimate the descriptor system states, the faults, the finite times derivatives of the faults, and attenuate the input disturbances. The considered fault can be unbounded (provided that the q^th derivative of the fault is zero piecewise or norm bounded); the present fault estimation approach can thus handle a large class of fault signals. A numerical example is included to illustrate the present design approach. © 2007

Original language	English
Title of host publication	Fault Detection, Supervision and Safety of Technical Processes 2006
Publisher	Elsevier
Pages	60-65
Number of pages	6
Volume	1
ISBN (Print)	9780080444857
DOIs	https://doi.org/10.1016/B978-008044485-7/50011-7
Publication status	Published - 2007
Externally published	Yes

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AU - Ding, Steven X.

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AB - By using the linear matrix inequality (LMI), for a nonlinear descriptor system with Lipschitz constraint, a state-space observer is designed to simultaneously estimate the descriptor system states, the fault signals, and the finite times derivatives of the faults. For a nonlinear descriptor system with bounded input disturbances, a robust state-space observer is proposed to simultaneously estimate the descriptor system states, the faults, the finite times derivatives of the faults, and attenuate the input disturbances. The considered fault can be unbounded (provided that the qth derivative of the fault is zero piecewise or norm bounded); the present fault estimation approach can thus handle a large class of fault signals. A numerical example is included to illustrate the present design approach. © 2007

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VL - 1

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BT - Fault Detection, Supervision and Safety of Technical Processes 2006

PB - Elsevier

ER -

Fault estimation for nonlinear descriptor systems with Lipschitz constraints via LMI approach

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