Scale-free Protocol Design for Output and Regulated Output Synchronization of Heterogeneous Multi-agent Systems

In this paper, we consider scalable output and regulated output synchronization problems for heterogeneous networks of right-invertible linear agents based on localized information exchange where in the case of regulated output synchronization, the reference trajectory is generated by a so-called exosystem. We assume that all the agents are introspective, meaning that they have access to their own local measurements. We propose a scale-free linear protocol for each agent to achieve output and regulated output synchronizations. These protocols are designed solely based on agent models and they need no information about communication graph and the number of agents or other agent models information.

[1]  R. Murray,et al.  Agreement problems in networks with directed graphs and switching topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[2]  Ali Saberi,et al.  Output synchronization for heterogeneous networks of introspective right‐invertible agents , 2014 .

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

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

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

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

[7]  Gang Feng,et al.  Output Consensus of Heterogeneous Linear Multi-Agent Systems with Adaptive Event-Triggered Control , 2019, IEEE Transactions on Automatic Control.

[8]  Ali Saberi,et al.  Synchronization in networks of minimum-phase, non-introspective agents without exchange of controller states: Homogeneous, heterogeneous, and nonlinear , 2015, Autom..

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

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

[11]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  John T. Wen,et al.  Cooperative Control Design - A Systematic, Passivity-Based Approach , 2011, Communications and control engineering.

[13]  Frank Allgöwer,et al.  An internal model principle is necessary and sufficient for linear output synchronization , 2011, Autom..

[14]  Magnus Egerstedt,et al.  Graph Theoretic Methods in Multiagent Networks , 2010, Princeton Series in Applied Mathematics.

[15]  Frank L. Lewis,et al.  Optimal Synchronization of Heterogeneous Nonlinear Systems With Unknown Dynamics , 2018, IEEE Transactions on Automatic Control.

[16]  Zhiyong Chen,et al.  Feedforward design for output synchronization of nonlinear heterogeneous systems with output communication , 2019, Automatica.

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

[18]  Ali Saberi,et al.  On the existence of virtual exosystems for synchronized linear networks , 2013, Autom..

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

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

[21]  Frank L. Lewis,et al.  Cooperative Output Regulation of Heterogeneous Linear Multi-Agent Networks via ${H_{\infty }}$ Performance Allocation , 2019, IEEE Transactions on Automatic Control.

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

[23]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[24]  Hyungbo Shim,et al.  Output Consensus of Heterogeneous Uncertain Linear Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.