Observer-Based Fault Detection for Delta Operator Systems

The problem of fault detection for the delta operator formulated discrete time system is considered. Based on the traditional Luenberger observer using the shift operator, a new observer design approach to fault detection for delta operator system is proposed. Both the existence conditions and explicit expression of the desired observer are developed. The algorithm of observer-based fault detection for delta operator systems is also given. The simulation results show the effectiveness of the proposed approach.