Distributed event-triggered output regulation of multi-agent systems

Motivated by the future use of embedded microprocessors with limited resources and limited computational resources, the distributed output regulation with event-driven strategies problem of linear multi-agent systems is considered in this paper. The main task is to design distributed feedback by employing event-triggered technique for multi-agent systems such that all agents can track an active leader, and/or distributed disturbance rejection. Both leader and disturbance are generated by some external system (exosystem). Both distributed static and dynamic feedback with event-triggered strategy are constructed here. Then, the input-to-state stability of the closed-loop multi-agent system is analysed. Finally, a numerical example is given to validate the proposed control.

[1]  Emilio Frazzoli,et al.  Distributed event-triggered control strategies for multi-agent systems , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[2]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[3]  Zongli Lin,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Transactions on Automatic Control.

[4]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[5]  Xiaofeng Wang,et al.  Event-triggered broadcasting across distributed networked control systems , 2008, 2008 American Control Conference.

[6]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[7]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[8]  Joseph J. Hale,et al.  From Disorder to Order in Marching Locusts , 2006, Science.

[9]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[10]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[11]  Zengqiang Chen,et al.  Event-triggered average-consensus for multi-agent systems , 2010, Proceedings of the 29th Chinese Control Conference.

[12]  W. P. M. H. Heemels,et al.  Analysis of event-driven controllers for linear systems , 2008, Int. J. Control.

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

[14]  Wei Xing Zheng,et al.  Consensus of multiple second-order vehicles with a time-varying reference signal under directed topology , 2011, Autom..

[15]  Xiaoli Wang,et al.  Event-triggered output regulation for linear multi-agent systems , 2012, Proceedings of the 31st Chinese Control Conference.

[16]  Wassim M. Haddad,et al.  Distributed nonlinear control algorithms for network consensus , 2008, Autom..

[17]  Zhong-Ping Jiang,et al.  Distributed output regulation of leader–follower multi‐agent systems , 2013 .

[18]  Jorge Cortés,et al.  Self-Triggered Optimal Servicing in Dynamic Environments With Acyclic Structure , 2013, IEEE Transactions on Automatic Control.

[19]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[20]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[21]  Zhong-Ping Jiang,et al.  A Distributed Control Approach to A Robust Output Regulation Problem for Multi-Agent Linear Systems , 2010, IEEE Transactions on Automatic Control.

[22]  David W. Lewis,et al.  Matrix theory , 1991 .

[23]  George J. Pappas,et al.  Self-triggered coordination of robotic networks for optimal deployment , 2011, Proceedings of the 2011 American Control Conference.

[24]  Karl Henrik Johansson,et al.  Event-triggered control for multi-agent systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[25]  Zhengtao Ding,et al.  Decentralized Output Regulation of Large Scale Nonlinear Systems with Delay , 2009, Kybernetika.

[26]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[27]  Emilio Frazzoli,et al.  Distributed Algorithms for Environment Partitioning in Mobile Robotic Networks , 2011, IEEE Transactions on Automatic Control.

[28]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[29]  Jiangping Hu,et al.  Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays , 2011, Kybernetika.