Distributed Non-Fragile H∞ Filtering of Discrete-Time Systems with Randomly Occurring Gain Variations

摘要

The issue of distributed non-fragile H_∞ filtering for discrete-time systems with randomly occurring gain variations over sensor networks is investigated in this paper. The randomly occurring filter gain variations obey a known probability distribution. Based on stochastic analysis and Lyapunov function approach, the sufficient condition is presented to guarantee the desired stochastic stability and H_∞ disturbance attenuation level. The solution of the desired distributed filter gains is characterized by solving a set of linear matrix inequalities. Finally, a numerical simulation example is provided to show the effectiveness of the proposed design approach.