Quantised H ∞ filter design for discrete-time systems

This article is concerned with the quantised H ∞ filtering problem for discrete-time systems. The quantiser considered here is dynamic and composed of a dynamic scaling and a static quantiser. Motivated by practical transmission channels requirements, the static quantiser ranges are fully considered in this article. A quantised H ∞ filter design strategy is proposed, taking quantiser errors into account, where a convex optimisation method is developed to minimise static quantiser ranges with meeting H ∞ performance requirement for quantised augmented systems. A numerical example is given to illustrate the effectiveness of the proposed filter design method.