HMMs‐Based Asynchronous ℋ∞$$ {\mathscr{H}}_{\infty } $$ Filtering for Discrete‐Time Singular Nonhomogeneous Markov Jump Systems With Hybrid Cyber Attacks

ABSTRACT This article aims to investigate the issue of asynchronous filtering for discrete‐time singular nonhomogeneous Markov jump systems with hybrid cyber attacks. To conserve and optimize network resources for communication channels, a logarithmic quantizer has been introduced. Meanwhile, double hidden Markov models (HMMs) are proposed to delineate the mode different phenomenon among system, quantizer and filter modes. This approach, combined with more comprehensive transition probabilities improves practical applicability. Then a criterion for solving the filtering problem has been derived. Eventually, a practical example is presented to show the efficacy of the solved filter.