H∞ consensus tracking in sensor networks with time-varying sensing period
Ya Zhang, Yu‐Ping Tian · 2013
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.