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Fault detection of discrete-time switched systems with distributed delays: input–output approach

Jinyong Yu, Fangzhou Liu, Xiaoxi Yu, Chunfeng Wu and Ligang Wu

International Journal of Systems Science, 2013, vol. 44, issue 12, 2255-2272

Abstract: This article is concerned with the ℋ∞ fault detection of discrete-time switched systems with distributed delays. By using the input–output approach combining with the small-scale gain theorem, a sufficient condition is established in terms of linear matrix inequality, which guarantees the fault detection system to be exponentially stable with an ℋ∞ performance. Then, a solvability condition for the desired fault detection filter is also proposed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed theory.

Date: 2013
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DOI: 10.1080/00207721.2012.687786

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