Robust H₈ asynchronous fault detection for uncertain singular hybrid systems based on Hmm strategy

This paper researches robust H-8 asynchron-ous fault detection for uncertain singular Markov jump systems with time-varying delays based on hidden Marko-v model strategy. The aim is to implement asynchronous fault detection for uncertain singular Markov jump system and realize stochastic admissibility with H-8 performance level for augmented uncertain singular Markov jump fault detection system. By applying singular value decomposition method and free weighting matrix technique, modified admissibility conditions are addressed based on Lyapunov stability theory. Robust fault detection problem is translated into H-8 filter design in this work. A hidden Markov model is used to describe a kind of asynchronous phenomenon produced by original system's modes and fault detection filter's modes, and the desired filter gains are obtained by solving linear matrix inequalities. Finally, a numerical example and a direct current motor system are used to verify the effectiveness of this approach.