H ∞ Filtering in Mobile Sensor Networks with Missing Measurements and Quantization Effects

Abstract

This paper is concerned with the \( {{H}_{\infty}} \) filtering problem for an array of 2D distributed parameter systems over lossy mobile sensor networks. The mobile sensor network suffers from missing measurements as well as quantization effects that are presented in a new framework. Bernoulli distribution is introduced to govern the data missing. A new \( {{H}_{\infty}} \) filtering technique is proposed for the addressed 2D semi-linear parabolic systems. Sufficient conditions are established in terms of some inequalities and the velocity law of each mobile sensor, such that the filtering error system is globally asymptotically stable in the mean square and has a guaranteed prescribed disturbance attenuation level \( \gamma \) for all nonzero noises. Finally, a numerical example is exploited to show the effectiveness of the proposed filtering scheme.