Event-triggered consensus of multi-agent systems under jointly connected topology

This paper investigates event-triggered leaderless and leader-following consensus problems of multiagent systems under jointly connected topology. A state-dependent event condition is proposed for each agent, which only relies on its own state and the last sampled data of itself and its neighbours. Based on the Lyapunov technique and algebraic graph theory, the designed event-triggered control strategies are proved to solve the leaderless and leader-following consensus problems when the topology is jointly connected. Moreover, such strategies can exclude Zeno-behaviour. Simulations illustrate the effectiveness of the theoretical results.

[1]  Manuel Mazo,et al.  An ISS self-triggered implementation of linear controllers , 2009, Autom..

[2]  Karl Henrik Johansson,et al.  Multi-agent robust consensus-Part II: Application to distributed event-triggered coordination , 2011, IEEE Conference on Decision and Control and European Control Conference.

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

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

[5]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[6]  Fei Hao,et al.  Event-triggered average consensus control for discrete-time multi-agent systems , 2012 .

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

[8]  Michael D. Lemmon,et al.  On Self-triggered Full-Information H-Infinity Controllers , 2007, HSCC.

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

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

[11]  Georg Sebastian Seyboth.  Event-based Control for Multi-Agent Systems , 2010 .

[12]  Jiangping Hu,et al.  Distributed event-triggered tracking control of second-order leader-follower multi-agent systems , 2011, Proceedings of the 30th Chinese Control Conference.

[13]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

[14]  Fei Hao,et al.  Observer-based event-triggered control for certain and uncertain linear systems , 2013, IMA J. Math. Control. Inf..

[15]  Manfredi Maggiore,et al.  Necessary and sufficient graphical conditions for formation control of unicycles , 2005, IEEE Transactions on Automatic Control.

[16]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[17]  Enrico Bini,et al.  Control-Driven Tasks: Modeling and Analysis , 2008, 2008 Real-Time Systems Symposium.

[18]  Daizhan Cheng,et al.  Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection , 2007, IEEE Transactions on Automatic Control.

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

[20]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

[21]  R. Beard,et al.  Consensus of information under dynamically changing interaction topologies , 2004, Proceedings of the 2004 American Control Conference.

[22]  Anton Cervin,et al.  Sporadic event-based control of first-order linear stochastic systems , 2008, Autom..