Fault Detection of Discrete-Time Delay Markovian Jump Systems with Delay Term Modes Partially Available

This paper focuses on the fault detection problem for a class of discrete-time delay Markovian jump systems with delay term modes partially available. A crucial hypothesis considered here is that a suitable detector to provide a measurement signal of operation modes of delay term. The fault detection filter used as the residual generator could depend on the original system operation modes. Based on the proposed results, sufficient conditions for the existence of the desired FDI filter are presented in terms of LMIs. Finally, a practical example is used to demonstrate the effectiveness of the proposed methods.