Regulated State Synchronization of Homogeneous Discrete-Time Multi-Agent Systems via Partial State Coupling in Presence of Unknown Communication Delays

This paper studies regulated state synchronization for homogeneous discrete-time multi-agent systems (MAS) in the presence of unknown nonuniform communication delays. We consider partial state coupling, i.e., agents are coupled through part of their states. A low gain-based protocol is designed which only requires rough knowledge of the communication network, such that the state synchronization for MAS is achieved where the required synchronized trajectory is only given to some of the agents.

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

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

[3]  Long Wang,et al.  Consensus protocols for discrete-time multi-agent systems with time-varying delays , 2008, Autom..

[4]  Hyungbo Shim,et al.  Disc margins of the discrete-time LQR and its application to consensus problem , 2012, Int. J. Syst. Sci..

[5]  Daniel W. C. Ho,et al.  Discrete-time multi-agent consensus with quantization and communication delays , 2014, Int. J. Gen. Syst..

[6]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[7]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[8]  Ali Saberi,et al.  Synchronization in a network of identical discrete‐time agents with uniform constant communication delay , 2014 .

[9]  Ali Saberi,et al.  Stabilization of linear system with input saturation and unknown constant delays , 2013, Autom..

[10]  Ali Saberi,et al.  Synchronization for heterogeneous networks of introspective right-invertible agents with uniform constant communication delay , 2013, 52nd IEEE Conference on Decision and Control.

[11]  Tao Li,et al.  Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises , 2010, IEEE Transactions on Automatic Control.

[12]  Christoforos N. Hadjicostis,et al.  Average Consensus in the Presence of Delays in Directed Graph Topologies , 2014, IEEE Transactions on Automatic Control.

[13]  Zongli Lin,et al.  Consensus of a class of discrete-time nonlinear multi-agent systems in the presence of communication delays. , 2017, ISA transactions.

[14]  Guanrong Chen,et al.  Consensus of Discrete-Time Linear Multi-Agent Systems with Observer-Type Protocols , 2011, ArXiv.

[15]  Tian Qi,et al.  MAS Consensus and Delay Limits Under Delayed Output Feedback , 2017, IEEE Transactions on Automatic Control.

[16]  Kevin L. Moore,et al.  High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems , 2007 .

[17]  Long Wang,et al.  Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays , 2009, IEEE Transactions on Automatic Control.

[18]  Pierre-Alexandre Bliman,et al.  Average consensus problems in networks of agents with delayed communications , 2005, CDC 2005.

[19]  Huanyu Zhao,et al.  Distributed output feedback consensus of discrete-time multi-agent systems , 2014, Neurocomputing.

[20]  Ali Saberi,et al.  Synchronization in a heterogeneous network of discrete-time introspective right-invertible agents , 2013, 2013 European Control Conference (ECC).

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

[22]  Sezai Emre Tuna,et al.  Synchronizing linear systems via partial-state coupling , 2008, Autom..

[23]  Meirong Zhang,et al.  Synchronization for a network of identical discrete-time agents with unknown, nonuniform constant input delay , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[24]  Frank L. Lewis,et al.  Synchronization of discrete-time multi-agent systems on graphs using Riccati design , 2012, Autom..

[25]  Frank L. Lewis,et al.  Distributed Cooperative Secondary Control of Microgrids Using Feedback Linearization , 2013, IEEE Transactions on Power Systems.

[26]  Meirong Zhang,et al.  State synchronization of homogeneous continuous-time multi-agent systems with time-varying communication topology in presence of input delay , 2017, 2017 American Control Conference (ACC).

[27]  Cheng-Lin Liu,et al.  Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations , 2009, Autom..

[28]  Lihua Xie,et al.  Network Topology and Communication Data Rate for Consensusability of Discrete-Time Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[29]  Ali Saberi,et al.  Passivity based delayed state synchronization of discrete-time multi-agent systems in presence of unknown communication delays , 2018, 2018 Annual American Control Conference (ACC).

[30]  H. Werner,et al.  Closed-Form Solution for Optimal Convergence Speed of Multi-Agent Systems with Discrete-Time Double-Integrator Dynamics , 2013 .

[31]  Ali Saberi,et al.  Consensus in the network with uniform constant communication delay , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[32]  Ali Saberi,et al.  Consensus in the network with nonuniform constant input delay , 2015, 2015 American Control Conference (ACC).

[33]  Meirong Zhang,et al.  Passivity based state synchronization of homogeneous discrete-time multi-agent systems via static protocol in presence of input delay , 2018, ACC.

[34]  Z. Qu,et al.  Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles , 2009 .

[35]  Lihua Xie,et al.  Consensusability of Discrete-Time Multiagent Systems With Communication Delay and Packet Dropouts , 2019, IEEE Transactions on Automatic Control.