Threshold computation for fault detection in a class of discrete‐time nonlinear systems
Threshold computation for fault detection in a class of discrete‐time nonlinear systems
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DOI：
10.1002/acs.1205
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发表时间：
2011-05
影响因子：
3.1
通讯作者：
Abdul Qayyum Khan;S. Ding
中科院分区：
文献类型：
--
作者：
Abdul Qayyum Khan;S. Ding
在本文中，我们讨论了在存在过程干扰的离散时间非线性不确定系统中设计鲁棒故障检测阈值的问题。提出了固定阈值和动态阈值。对于常数阈值的计算，提出了一种基于信号范数的广义框架。在提出的框架中研究了不同类型的恒阈值。利用线性矩阵不等式（LMI）技术，推导了这些阈值的计算算法。同样，动态阈值是通过在残差信号的模的上界上推导一个不等式来设计的。这个不等式是基于离散时间非线性不确定系统的解。仿真实例表明，所提出的阈值能够有效地消除虚警。版权所有©2010 John Wiley & Sons， Ltd
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.