Zonotopic fault detection observer design for discrete‐time systems with adaptively adjusted event‐triggered mechanism

This study addresses the event‐triggered fault detection for a class of discrete‐time systems with unknown but bounded external disturbance and measurement noise. In order to save limited network bandwidth, an adaptively adjusted event‐triggered scheme is designed by considering the probability of system failure and the fault detection progress. Based on the event‐triggered system output, an fault detection observer is well designed in finite frequency ranges, such that the generated residual is sensitive to injected faults and robust against disturbance and noise. Moreover, a novel zonotope‐based residual evaluation strategy is constructed to reduce conservatism by considering the impacts of external disturbance, measurement noise and measured error caused by event‐triggered scheme. Finally, simulation results are provided to demonstrate the effective performance of the proposed event‐triggered fault detection strategy.