Distributed adaptive pinning control for cooperative linear output regulation of multi-agent systems

This paper investigates the cooperative linear output regulation problem of a class of heterogeneous multi-agent systems with a common reference input but with different disturbances for individual agents. Two classes of distributed adaptive pinning control laws are presented based on state feedback and dynamic output feedback respectively. It is shown that under the proposed control laws the overall closed-loop control system is asymptotically stable and the outputs of all agents can track the reference input asymptotically. Finally, a numerical example demonstrates the effectiveness of the proposed control laws.

[1]  Lihua Xie,et al.  Consensus control of linear multi-agent systems with distributed adaptive protocols , 2012, 2012 American Control Conference (ACC).

[2]  Jeffrey M. Bradshaw,et al.  Human-robot coordination through dynamic regulation , 2008, 2008 IEEE International Conference on Robotics and Automation.

[3]  Jie Huang,et al.  Output Regulation of a Class of Switched Linear Multi-Agent Systems: a Distributed Observer Approach , 2011 .

[4]  Zengqiang Chen,et al.  Reaching a consensus via pinning control , 2009, Autom..

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

[6]  Mengyin Fu,et al.  Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols , 2011, IEEE Transactions on Automatic Control.

[7]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[8]  Fuchun Sun,et al.  Decentralized adaptive attitude synchronization of spacecraft formation , 2012, Syst. Control. Lett..

[9]  Xingping Chen,et al.  Control of leader-follower formations of terrestrial UAVs , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[10]  Jie Huang,et al.  Cooperative Output Regulation of Linear Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[11]  Ji Xiang,et al.  Synchronized Output Regulation of Linear Networked Systems , 2009, IEEE Transactions on Automatic Control.

[12]  Gang Feng,et al.  Linear output regulation of heterogeneous networked systems based on distributed adaptive dynamic state feedback , 2012, 2012 IEEE International Conference on Information and Automation.

[13]  Jie Huang,et al.  Cooperative Output Regulation With Application to Multi-Agent Consensus Under Switching Network , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).