Leader-Following Consensus of Multi-Agent Systems via Adaptive Event-Based Control

In this paper, the adaptive event-based control approach is applied to study leader-following consensus of multi-agent systems with linear dynamic models. Adaptive event-based controller and triggering function for each agent are designed, where the adaptive function is only dependent on its own event time instants. A sufficient condition on consensus is proposed, which shows that the adaptive event-based method presented in this paper not only can reduce the communication among neighboring agents, but also can determine the event time instants for each agent without using the global information. Furthermore, the Zeno-behavior for the concerned closed-loop system is excluded. Finally, an example is presented to illustrate the effectiveness of the obtained theoretical results.

[1]  Tingwen Huang,et al.  Leader-following exponential consensus of general linear multi-agent systems via event-triggered control with combinational measurements , 2015, Appl. Math. Lett..

[2]  Jinde Cao,et al.  Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies , 2017, IEEE Transactions on Cybernetics.

[3]  Gang Feng,et al.  Leader-follower consensus of time-varying nonlinear multi-agent systems , 2015, Autom..

[4]  Eloy García,et al.  Periodic Event-Triggered Synchronization of Linear Multi-Agent Systems With Communication Delays , 2015, IEEE Transactions on Automatic Control.

[5]  Zongli Lin,et al.  Distributed Consensus Control of Multi-Agent Systems With Higher Order Agent Dynamics and Dynamically Changing Directed Interaction Topologies , 2016, IEEE Transactions on Automatic Control.

[6]  Songlin Hu,et al.  Adaptive event-triggered consensus control for multi-agent systems subject to input saturation , 2015, 2015 34th Chinese Control Conference (CCC).

[7]  Long Wang,et al.  Consensus of Hybrid Multi-Agent Systems , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Tao Zhou,et al.  Improve consensus via decentralized predictive mechanisms , 2009 .

[9]  Zhong-Ping Jiang,et al.  Event-Based Leader-following Consensus of Multi-Agent Systems with Input Time Delay , 2015, IEEE Transactions on Automatic Control.

[10]  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.

[11]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

[12]  Gang Feng,et al.  Novel distributed robust adaptive consensus protocols for linear multi-agent systems with directed graphs and external disturbances , 2015, Int. J. Control.

[13]  Zhong-Ping Jiang,et al.  Event-based consensus of multi-agent systems with general linear models , 2014, Autom..

[14]  Tingwen Huang,et al.  Event-Triggering Sampling Based Leader-Following Consensus in Second-Order Multi-Agent Systems , 2015, IEEE Transactions on Automatic Control.

[15]  Xinlei Yi,et al.  Pull-Based Distributed Event-Triggered Consensus for Multiagent Systems With Directed Topologies , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[16]  Valery A. Ugrinovskii,et al.  Event-triggered leader-following tracking control for multivariable multi-agent systems , 2016, Autom..

[17]  Zhiyong Chen,et al.  Semi-Global Consensus of Nonlinear Second-Order Multi-Agent Systems With Measurement Output Feedback , 2014, IEEE Transactions on Automatic Control.

[18]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[19]  Zhiyong Chen,et al.  Consensus Acceleration in a Class of Predictive Networks , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[20]  Guanghui Wen,et al.  Neuro-Adaptive Consensus Tracking of Multiagent Systems With a High-Dimensional Leader , 2017, IEEE Transactions on Cybernetics.

[21]  Guanghui Wen,et al.  Containment of Higher-Order Multi-Leader Multi-Agent Systems: A Dynamic Output Approach , 2016, IEEE Transactions on Automatic Control.

[22]  Xiuxia Yin,et al.  Adaptive event-triggered consensus for multi-agent systems with stochastic switching topologies and delays , 2013, 2013 IEEE International Symposium on Industrial Electronics.

[23]  Shengyuan Xu,et al.  Consensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy , 2016 .

[24]  Shengyuan Xu,et al.  Event-triggered consensus control for second-order multi-agent systems , 2015 .

[25]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[26]  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.

[27]  Dapeng Yang,et al.  Decentralized event-triggered consensus for linear multi-agent systems under general directed graphs , 2016, Autom..