Delay-dependent fault detection for switched linear systems with time-varying delays - the average dwell time approach
Delay-dependent fault detection for switched linear systems with time-varying delays - the average dwell time approach
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DOI：
10.1016/j.sigpro.2010.08.016
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发表时间：
2011-04
期刊：
影响因子：
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通讯作者：
Dan Zhang;Li Yu;Wen-an Zhang
中科院分区：
文献类型：
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作者：
Dan Zhang;Li Yu;Wen-an Zhang
本文研究了一类时变时滞离散时间切换线性系统的故障检测问题。主要目的是设计一个故障检测滤波器，使得对于所有未知输入、控制输入和时间延迟，残差和故障之间的估计误差以指数方式最小化。故障检测问题转化为指数H∞滤波问题。通过使用新构造的李亚普诺夫函数和平均停留时间方案，根据线性矩阵不等式（LMI）建立了该问题可解性的新颖的依赖于延迟的充分条件。给出了一个数值例子来证明所开发的理论结果的有效性。
In this paper, the fault detection problem is investigated for a class of discrete-time switched linear systems with time-varying delays. The main purpose is to design a fault detection filter such that, for all unknown inputs, control inputs and time delays, the estimation error between the residual and fault is minimized in an exponential way. The fault detection problem is converted into an exponential H∞filtering problem. By using a newly constructed Lyapunov functional and the average dwell time scheme, a novel delay-dependent sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the developed theoretical results.