An LMI approach to minimum sensitivity analysis with application to fault detection
An LMI approach to minimum sensitivity analysis with application to fault detection
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DOI：
10.1016/j.automatica.2005.06.005
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发表时间：
2005-11-01
期刊：
影响因子：
6.4
通讯作者：
Yang, GH
中科院分区：
文献类型：
--
作者：
Liu, J;Wang, JL;Yang, GH
本文系统地研究了最小输入灵敏度分析问题。将系统输出对系统输入的最低灵敏度定义为H_ index。首先用矩阵等式和不等式的形式给出了H_index的一个完整刻画，然后用线性矩阵不等式（LMI）的形式给出了H_index的一个对偶有界真实的引理.本文还研究了与此相关的输入可观性问题，给出了故障检测系统具有非零最坏故障灵敏度的新的充要条件。将上述结果应用于故障检测滤波器分析问题，并通过数值算例验证了所提方法的有效性。(c)2005爱思唯尔有限公司保留所有权利。
This paper systematically studies the minimum input sensitivity analysis problem. The lowest level of sensitivity of system outputs to system inputs is defined as an H_ index. A full characterization of the H_index is given, first, in terms of matrix equalities and inequalities, and then in terms of linear matrix inequalities (LMIs), as a dual of the Bounded Real Lemma. A related problem of input observability is also studied, with new necessary and sufficient conditions given, which are necessary for a fault detection system to have a nonzero worst-case fault sensitivity. The above results are applied to the problem of fault detection filter analysis, with numerical examples given to show the effectiveness of the proposed approaches. (c) 2005 Elsevier Ltd. All rights reserved.