Cooperative output regulation problem of discrete-time linear multi-agent systems with Markov switching topologies

This paper studies the cooperative output regulation problem of discrete-time linear multi-agent systems subject to Markov switching topologies.To cope with the problem that some followers cannot directly obtain the state information of the leader and themselves, the distributed state feedback control algorithm and output feedback control algorithm are designed based on the Markov state compensators of the leader and followers, respectively. Then, the corresponding sufficient conditions for solving the cooperative output regulation problem of multi-agent systems with unstable and stable exosystem are proposed, respectively. Finally, numerical simulations are provided to verify the effectiveness of the designed algorithms.