Research on Cooperative Output Regulation Problem of Multi-Agent Systems with Time-Varying Delay under Dynamic Topology

Abstract

The random data loss that occurs during the communication process of multi-agent systems will lead to the dynamic switching of network topology. The time-varying communication delay will cause the agents to update their control inputs irregularly and asynchronously. In this paper, we deal with the cooperative output regulation problem of multi-agent systems with both random data loss and time-varying communication delay. By applying a queuing mechanism, the multi-agent systems with time-varying communication delay can be modeled as the multi-agent systems with constant communication delay and stochastic packet dropout. Based on the queuing mechanism, we designed the distributed state observers of the leader and the followers. Then, a new distributed measurement output feedback control algorithm is proposed. Under some standard assumptions, the proposed algorithm can solve the cooperative output regulation problem of multi-agent systems with both stochastic packet dropout and time-varying communication delay for unstable or stable exosystem. Then, the corresponding conditions for solving the cooperative output regulation problem are given, respectively. The simulation results show that the measurement output feedback control algorithm based on queue mechanism can effectively solve the cooperative output regulation problem of multi agent systems with time-varying delay under dynamic network topology.