State Synchronization of Discrete-time Multi-agent Systems in Presence of Unknown Nonuniform Communication Delays: A Scale-free Protocol Design

In this paper we study scale-free state synchronization of discrete-time homogeneous multi-agent systems (MAS) subject to unknown, nonuniform and arbitrarily large communication delays. The scale-free protocol utilizes localized information exchange and is designed solely based on the knowledge of agents’ model and does not require any information about the communication network and the size of the network (i.e. number of agents).

[1]  Frank Allgöwer,et al.  Delay robustness in consensus problems , 2010, Autom..

[2]  Meirong Zhang,et al.  Synchronization in a network of identical continuous‐ or discrete‐time agents with unknown nonuniform constant input delay , 2018 .

[3]  Ljupco Kocarev,et al.  Consensus and Synchronization in Complex Networks , 2013 .

[4]  Rong Li,et al.  Delayed state synchronization of homogeneous discrete-time multi-agent systems in the presence of unknown communication delays , 2019, 2019 Chinese Control And Decision Conference (CCDC).

[5]  Long Wang,et al.  Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[6]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[7]  Meirong Zhang,et al.  Synchronization in the presence of unknown, nonuniform and arbitrarily large communication delay , 2017, Eur. J. Control.

[8]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks , 2011 .

[9]  Yingmin Jia,et al.  Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies , 2009, Autom..

[10]  Rong Li,et al.  Delayed state synchronization of continuous-time multi-agent systems in the presence of unknown communication delays , 2019, 2019 Chinese Control And Decision Conference (CCDC).

[11]  Ali Saberi,et al.  Output synchronization for heterogeneous networks of non-introspective agents , 2012, Autom..

[12]  Frank Allgöwer,et al.  Delay Robustness in Non-Identical Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[13]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[14]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[15]  Chai Wah Wu,et al.  Synchronization in Complex Networks of Nonlinear Dynamical Systems , 2008 .

[16]  Ali Saberi,et al.  Regulated State Synchronization of Homogeneous Discrete-Time Multi-Agent Systems via Partial State Coupling in Presence of Unknown Communication Delays , 2019, IEEE Access.

[17]  Yu-Ping Tian,et al.  Consensus of Multi-Agent Systems With Diverse Input and Communication Delays , 2008, IEEE Transactions on Automatic Control.