Consensus Problem of Multi-agent Systems with Markovian Communication Failure

This paper studies the consensus problem of multi-agent systems with Markovian communication failure which may be caused by limited communication capacity. The occurrence of the failures is modeled by a discrete-time Markov chain. A consensus sufficiency condition is established in terms of linear matrix inequalities (LMIs). Based on this condition, a new controller design method is provided. A numerical example is utilized to illustrate the effectiveness of the proposed approach.