Design of Fault Detection Observer for Network Control System Based on Delta Operator

In a network control system, for a linear time-invariant system, there is external interference and actuator failure. The Delta operator was combined with the Luenberger observer to design a new fault detection observer. By deriving the constraints of the Luenberger observer, the conditions of existence and expression of the observer are obtained, and the algorithm for fault detection of the Delta operator is given. Finally, simulation examples are used to verify the rationality of the designed observer.