Consensus tracking for general linear dynamical target via periodic sensing

This paper studies the consensus tracking of general dynamical target via periodic sensing and investigates allowable upper bounds of sensing period. Both fixed and switching topology cases are discussed. In both cases, from a series of system transformations the consensus tracking problem is converted to the robust stability problem of some uncertain system. Then LMI-based allowable upper bounds of sensing period are provided by solving optimal H
_∞
control problem. Sufficient and explicit bounds for sensing period, which are given by the eigenvalues of target's dynamic matrix, are further provided for systems under fixed topology and switching connected topologies, respectively. Numerical examples are given to illustrate the results.