Networked H∞ filter with bounded packet dropouts

This paper investigates the quantized H_∞ filtering problem for a class of networked systems. The networked system is modeled as a Markov system with employing new transition probabilities matrix. And the mode-dependent H_∞ filter is studied. The logarithmic quantizer is considered and the quantized 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 quadratic separator lemma, a new method is proposed to deal with the sector-bounded uncertainty and further to give convex sufficient conditions for designing the quantized and mode dependent H_∞ filter in terms of LMIs. The resulting design guarantees the augmented system stochastically 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.