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Threshold computation for fault detection in a class of discrete-time nonlinear systems

✍ Scribed by Abdul Qayyum Khan; Steven X. Ding

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
193 KB
Volume
25
Category
Article
ISSN
0890-6327

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✦ Synopsis

Abstract

In this paper, we address the problem of designing robust thresholds for fault detection in discrete‐time nonlinear uncertain systems in the presence of process disturbances. Both constant and dynamic thresholds are proposed. For the computation of constant thresholds, a generalized framework based on signal norms is developed. Different kinds of constant thresholds are studied in the framework proposed. Using linear matrix inequalities (LMI) techniques, algorithms are derived for the computation of these thresholds. Similarly, the dynamic threshold is designed by deriving an inequality on the upper bound of the modulus of the residual signal. This inequality is based on the solution of discrete‐time nonlinear uncertain systems. The simulation examples illustrate that false alarms are successfully eliminated using the proposed thresholds. Copyright Β© 2010 John Wiley & Sons, Ltd.

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