Inversion-based synthesis algorithm of periodic fault detection and isolation filters

A numerically reliable lifting-free computational method is proposed to solve fault detection and isolation problems for periodic systems using a model matching approach. The synthesis procedure employs numerically reliable algorithms to determine least order annihilators of periodic systems to reduce the corresponding periodic model matching problem to a simpler form. The reduced problem is then solved using an explicit periodic system inversion based approach. If the resulting fault detection filter is not stable and/or not causal, then a final stabilization step is performed using periodic coprime factorization techniques. The proposed integrated synthesis algorithm has strongly coupled computational steps, where all available structural information at the end of each computational step are fully exploited in the subsequent computations.