Fault detection filter for Delta operator formulated discrete time systems

The problem of fault detection for Delta operator formulated discrete time system is studied.Some sufficient conditions are developed for fault detection and isolation(FDI) of Delta operator system.The design method of the Delta operator-based fault detection filter is proposed.When the sampling period is very small,the FDI method using Delta operator will approach the corresponding FDI results for continuous time cases,thus the related problems of fault detection for continuous time system and discrete time system can be considered in the unified Delta operator framework.A numerical example illustrates the effectiveness of the proposed approach.