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Threshold computation for fault detection in a class of discrete‐time nonlinear systems
Author(s) -
Khan Abdul Qayyum,
Ding Steven X.
Publication year - 2011
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1205
Subject(s) - computation , constant (computer programming) , nonlinear system , linear matrix inequality , discrete time and continuous time , fault detection and isolation , control theory (sociology) , signal (programming language) , residual , mathematics , process (computing) , computer science , matrix (chemical analysis) , algorithm , mathematical optimization , artificial intelligence , statistics , physics , materials science , control (management) , quantum mechanics , composite material , programming language , operating system
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 © 2010 John Wiley & Sons, Ltd.