H∞ consensus tracking in sensor networks with time-varying sensing period

This paper studies the H_∞ consensus tracking of general linear dynamical target with unknown disturbance input and time-varying sensing period. From a series of system transformations the consensus tracking problem is converted to the robust stability problem of an uncertain delayed subsystem. By using Lyapunov-Krasovskii functional analysis, an LMI-based H_∞ consensus tracking condition is obtained. The condition consists of only four LMIs. Then an allowable upper bound of sensing period is provided by solving the H_∞ stabilization problem. Numerical examples are given to illustrate the results.