Fault diagnosis of uncertain discrete-time systems with time-delay based on LMI approach

In order to diagnose the fault occurred in a class of uncertain disturbance and uncertain dynamic time-delay discrete systems,the state observer based method is used.Based on the LMI approach,the problem of system fault diagnosis can be substituted for that of analysis of the robust control,and the LMI conditions and solving methods are also given.Finally,a numerical example has been presented to illustrate the feasibility and effectiveness of the proposed approach.