Fault detection for discrete‐time switched singular time‐delay systems: an average dwell time approach |
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Authors: | Jinxing Lin Shumin Fei Zhifeng Gao Jie Ding |
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Affiliation: | 1. College of Automation, Nanjing University of Posts and Telecommunications, , Nanjing 210046, China;2. Key Laboratory of Measurement and Control of CSE (School of Automation, Southeast University), Ministry?of?Education, , Nanjing, 210096 China |
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Abstract: | In this paper, the fault detection problem is investigated for a class of discrete‐time switched singular systems with time‐varying state delays. The residual generator is firstly constructed based on a switched filter, and the design of fault detection filter is formulated as an H ∞ filtering problem, that is, minimizing the error between residual and fault in the H ∞ sense. Then, by constructing an appropriate decay‐rate‐dependent piecewise Lyapunov function and using the average dwell time scheme, a sufficient condition for the residual system to be regular, causal, and exponential stable while satisfying a prescribed H ∞ performance is derived in terms of linear matrix inequalities (LMIs). The corresponding solvability condition for the desired fault detection filters is also established via LMI approach. Finally, a numerical example is presented to show the effectiveness of the developed theoretical results.Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | fault detection discrete‐time switched singular systems time‐varying delay filter design H ∞ performance average dwell time |
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