Event‐triggered asynchronous filtering for networked fuzzy non‐homogeneous Markov jump systems with dynamic quantization

Abstract

The asynchronous filtering problem for networked fuzzy non-homogeneous Markov jump systems is investigated, with the consideration of packet dropout and quantization. An event-triggered dynamic quantization scheme is proposed, and a stability criterion is given to ensure the stochastic stability of the filtering error systems with desired extended dissipative performance. This performance provides a unified framework in the sense that it can degenerate to H ∞ , l 2 − l ∞ , dissipativity and passivity filter, respectively, under certain parameter sets. Furthermore, an asynchronous filter design method with extended dissipative performance is given based on the proposed stability criterion. In this method, the existence of the quantizer is ensured by dynamic quantization levels and the solution scope of the filter is enlarged by a free-connection weighting matrices method. The theoretical design and analysis is finally evaluated using a practical example.