Asynchronously fault detection for flight vehicles with unstable modes via MDLF and MDADT method

This research focuses on detecting faults in flight vehicles with unstable subsystems operating asynchronously. By accounting for asynchronous switching, a switched model is established, and filters for fault detection (FD) in unstable subsystems are developed. The FD challenge is then transformed into an H∞ filtering issue. Utilizing the multiple discontinuous Lyapunov function (MDLF) approach and the mode-dependent average dwell time (MDADT) method, sufficient conditions are derived to ensure stability during both fast and slow switching. Furthermore, the existence and solutions for FD filters are provided through linear matrix inequalities (LMIs). The simulation outcomes demonstrated the excellent performance of the developed method in studied cases.