Robust fault detection of Markovian jump systems with partly unknown transition probabilities
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A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities. Free-connection weighting matrices are introduced to robust fault detection observer design, which reduces the conservatism caused by fixed-connection weighting matrices. A series of linear matrix inequalities (LMIs) which ensure the system's stochastic asymptotic stability are obtained by using the constructed Lyapunov function. Based on that, a sufficient condition for the existence of the robust fault detection observer system is given and proved. Furthermore, an optimization design approach is also derived. A simulation example is given to show that the designed robust fault detection observer can not only detect the faults quickly and sensitively, but also respond robustly to unknown disturbances.
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Robust fault detection of nonlinear markovian jump systems with partly unknown transition probabilitiesShi, J.; Yin, YanYan; Liu, F. (2016)© 2016 ISSN.A robust fault detection observer (RFDO) is designed to solve the robust fault detection problem of the nonlinear Markovian jump systems (NMJSs) with partly unknown transition probabilities. With the method ...
Delay-dependent robust fault detection for Markovian jump systems with partly unknown transition ratesChen, F.; Yin, YanYan; Liu, F. (2016)© 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. This paper focuses on delay-dependent robust fault detection (RFD) problem for continuous-time Markovian jump systems (MJSs) with partly unknown ...
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