Discrete-time quantized H∞ filtering with quantizer ranges consideration

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