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Quantised $$H_\infty$$ filter design for discrete-time systems. (English) Zbl 1168.93406
Summary: This article is concerned with the quantised $$H_{\infty }$$ 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 $$H_{\infty }$$ filter design strategy is proposed, taking quantiser errors into account, where a convex optimisation method is developed to minimise static quantiser ranges with meeting $$H_{\infty }$$ performance requirement for quantised augmented systems. A numerical example is given to illustrate the effectiveness of the proposed filter design method.

##### MSC:
 93E11 Filtering in stochastic control theory 93C55 Discrete-time control/observation systems 90B18 Communication networks in operations research 15A39 Linear inequalities of matrices 94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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