Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Delays: A Scale-Free Protocol Design

This paper studies regulated state synchronization of homogeneous networks of non-introspective agents in presence of unknown nonuniform input delays. A scale free protocol is designed based on additional information exchange, which does not need any knowledge of the directed network topology and the spectrum of the associated Laplacian matrix. The proposed protocol is scalable and achieves state synchronization for any arbitrary number of agents. Meanwhile, an upper bound for the input delay tolerance is obtained, which explicitly depends on the agent dynamics.

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

[2]  Wei Ren,et al.  On Consensus Algorithms for Double-Integrator Dynamics , 2007, IEEE Transactions on Automatic Control.

[3]  Meirong Zhang,et al.  Passivity based state synchronization of multi-agent systems via static or adaptive nonlinear dynamic protocols , 2018, 2018 Chinese Control And Decision Conference (CCDC).

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

[5]  Hassan K. Khalil,et al.  Synchronization in Networks of Identical Linear Systems with Reduced Information , 2018, 2018 Annual American Control Conference (ACC).

[6]  H. Shim,et al.  Output feedback consensus for high-order linear systems having uniform ranks under switching topology , 2012 .

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

[8]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

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

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

[11]  Frank Allgöwer,et al.  On topology and dynamics of consensus among linear high-order agents , 2011, Int. J. Syst. Sci..

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

[13]  Hyungbo Shim,et al.  Consensus of output-coupled linear multi-agent systems under fast switching network: Averaging approach , 2013, Autom..

[14]  Meirong Zhang,et al.  Passivity based state synchronization of homogeneous discrete-time multi-agent systems via static protocol in presence of input delay , 2018, 2018 Annual American Control Conference (ACC).

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

[16]  Hyungbo Shim,et al.  Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach , 2009, Autom..

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

[18]  Jie Huang,et al.  Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems , 2011, IEEE Transactions on Automatic Control.

[19]  Rodolphe Sepulchre,et al.  Synchronization in networks of identical linear systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[20]  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).

[21]  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).

[22]  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.

[23]  Sezai Emre Tuna,et al.  Conditions for Synchronizability in Arrays of Coupled Linear Systems , 2008, IEEE Transactions on Automatic Control.

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

[25]  S. E. Tuna LQR-based coupling gain for synchronization of linear systems , 2008, 0801.3390.

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

[27]  Ali Saberi,et al.  Consensus in the network with uniform constant communication delay , 2013, Autom..