Cooperative output regulation problem of multi-agent systems with stochastic packet dropout and time-varying communication delay

• Published in: Journal of the Franklin Institute Vol. 355; no. 17; pp. 8664 - 8682
• Main Authors: Liu, Zili, Yan, Weisheng, Li, Huiping, Small, Michael
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.11.2018; Elsevier Science Ltd
• Subjects: Algorithms; Control; Control theory; Cooperative output regulation; Data packet dropout; Delay; Discrete time systems; Feedback control; Feedback control systems; Linear systems; Multi-agent systems; Multiagent systems; Queues; Queuing; Queuing mechanism; State feedback; Stochastic models; Time-varying delay; Tracking errors; Data packet dropout; Cooperative output regulation; Time-varying delay; Queuing mechanism; Multi-agent systems
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2018.09.010

In this paper, we deal with the cooperative output regulation problem of linear multi-agent systems on a directed network topology subject to both stochastic packet dropout and time-varying communication delay. On the basis of introducing a queuing mechanism, a distributed state feedback control algorithm is proposed. Then the continuous-time multi-agent systems with piece-wise constant control are converted into discrete-time systems. Under some standard assumptions, the necessary and sufficient conditions under which the tracking errors of followers approach to the origin asymptotically are proposed for different exosystems. Finally, the proposed results are verified via two examples.