Asynchronous filtering for two-dimensional Markovian jump systems with time delays under stochastic communication protocol and hybrid cyber attacks

The asynchronous filtering problem for two-dimensional (2D) Markovian jump systems (MJSs) under hybrid cyber attacks and stochastic communication protocol (SCP) is the focus of this investigation. To avoid data transmission collisions, only a single sensor can send measurement data through the communication network at each sample shift moment, and the sensor chosen is decided by the SCP mechanism. Besides, the impact of stochastic hybrid cyber attacks on filtering performance is also considered. In the background of hybrid cyber attacks and SCP, an augmented model of 2D MJSs is constructed. Then, a novel asynchronous filter structure is proposed that can simultaneously characterize the MJSs and filter pattern mismatch as well as the mismatch between the actual SCP pattern information and the available SCP pattern information. Then, sufficient criteria conditions are established to ensure that dynamic filtering error systems meet robust H_∞ mean-square stability with a certain level of disturbance attenuation. Moreover, the conservativeness of the stability criterion is further reduced by the 2D summation inequality lemma. Finally, an industrial heating exchange process is employed to illustrate the effectiveness of the developed asynchronous filtering algorithm.