Finite-time Asynchronous H∞ Filtering Design of Markovian Jump Systems with Randomly Occurred Quantization

In this paper, the problem of asynchronous H ∞ filtering is discussed for discrete-time Takagi-Sugeno (T-S) fuzzy Markov jump systems (FMJSs) with randomly occurred quantization. The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions, and the randomly occurred quantization is introduced to describe the quantisation phenomenon appearing in a probabilistic way. The aim of this study is to design an asynchronous H ∞ filter for discrete-time T-S FMJSs such that the resulting filtering error system satisfies H ∞ disturbance attention performance and finite-time boundedness. Then, the gains of the filter are obtained by solving a set of linear matrix inequalities. Finally, three examples are utilized to illustrate the effectiveness of our proposed approach.