H∞ filtering with logarithmic quantizer

In this paper, the H filtering problem with signal quantization is considered. The logarithmic quantizer is considered and the quantizied measurement signals are dealt with by utilizing the sector bound method, in which the quantization error is treated as sector-bounded uncertainty. By using the vertex separator, a new method is proposed to deal with the sector-bounded uncertainty and further to give convex sufficient conditions for designing the quantized H_∞ filter in terms of LMIs. The resulting design guarantees the augmented system asymptotically stable and the H_∞ attenuation level less than a prescribed level. A numerical example is given to illustrate the the effectiveness of the proposed method.