H∞ filtering of polynomial fuzzy systems with fading measurements

This paper investigates the distributed H_∞ filtering problem of the polynomial fuzzy system with fading measurements. A fading channel is assumed to be existing between the plant and the filter, and the Rice channel model is dedicated to describe the imperfect communication link. The attention is to design a fuzzy H_∞ filter such that the filter error system is stochastically stable guaranteeing the prescribed H_∞ performance. Sufficient conditions of the filter are derived in terms of sum of square inequalities, which can be solved by the recently developed SOSTOOLS.