Fault Detection Analysis of State‐Triggered Impulsive Boolean Control Networks

This paper investigates the fault detection problem of state‐triggered impulsive Boolean control networks (STIBCNs) and puts forward a detection approach integrating observer‐based techniques with replica‐system methods. First, based on the hybrid‐index model, a time‐domain equivalent model for STIBCNs is established, and the maximum jump matrix is introduced to characterise the system dynamical characteristics within the jumping subset. Second, the concepts of meaningful faults and detectable faults for STIBCNs are formally defined, and the necessary and sufficient conditions for the detectability of meaningful faults in the hybrid domain are derived. Finally, two fault detection algorithms are designed, and their effectiveness is verified through an example.