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Fault detection for continuous‐time switched systems under asynchronous switching
Author(s) -
Du Dongsheng,
Jiang Bin,
Shi Peng,
Karimi Hamid Reza
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2961
Subject(s) - dwell time , fault detection and isolation , control theory (sociology) , asynchronous communication , filter (signal processing) , piecewise , residual , computer science , fault (geology) , lyapunov function , differentiator , mathematics , algorithm , nonlinear system , telecommunications , control (management) , actuator , medicine , clinical psychology , mathematical analysis , physics , quantum mechanics , artificial intelligence , seismology , computer vision , geology
SUMMARY In this paper, the problem of fault detection for continuous‐time switched systems under asynchronous switching is investigated. The designed fault detection filter is assumed to be asynchronous with the original systems. Attention is focused on designing a fault detection filter such that the estimation error between the residual and the fault is minimized in the sense of H ∞ norm. By employing piecewise Lyapunov function and average dwell time techniques, a sufficient condition for the existence of such a filter is exploited in terms of certain linear matrix inequalities. Finally, an example of a switched electrical circuit is provided to illustrate the effectiveness of the proposed approach. Copyright © 2013 John Wiley & Sons, Ltd.