Distributed non-fragile [formula omitted] filtering over sensor networks with random gain variations and fading measurements

Abstract

This paper investigates the distributed non-fragile l2−l∞ filter design for a class of discrete-time nonlinear systems with random gain variations and fading measurements. Two mutually independent random sequences with known distributions are utilized to describe the probabilistic properties of the random gain variations phenomenon and fading measurements, respectively. Based on stochastic analysis and Lyapunov function approach, the sufficient condition is presented to guarantee the mean-square exponential stability and l2−l∞ disturbance attenuation performance of the augmented filtering error system. The solutions of the desired distributed non-fragile filter gains are characterized by solving linear matrices inequalities to keep the sparsity of the weighted adjacency matrix of sensor networks. Finally, an illustrative example is provided to show the effectiveness of the proposed design approach.