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Rotating consensus control of double-integrator multi-agent systems with event-based communication

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Abstract

This paper solves the rotating consensus problem for a group of double-integrator agents with event-based communication only. We propose a distributed event-based rotating consensus protocol, which guarantees that a consensus regarding both position and velocity is achieved when all agents exhibit circular motion around the same center. It is observed that overall less communication is required as the communication between agents is only needed at event times. Moreover, with the proposed event-based protocol, it is proved that Zeno behavior can be strictly avoided for each agent. Numerical simulations show that this event-based control law can efficiently solve the rotating consensus problem.

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References

  1. Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Automat Contr, 2004, 49: 1520–1533

    Article  MathSciNet  Google Scholar 

  2. Ren W, Beard R W. Consensus algorithms for double-integrator dynamics. In: Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications. Berlin: Springer, 2008. 77–104

    Chapter  Google Scholar 

  3. Lin Z Y, Broucke M, Francis B. Local control strategies for groups of mobile autonomous agents. IEEE Trans Automat Contr, 2004, 49: 622–629

    Article  MathSciNet  Google Scholar 

  4. Lin Z Y, Francis B, Maggiore M. Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Trans Automat Contr, 2005, 50: 121–127

    Article  MathSciNet  Google Scholar 

  5. Chen Z Y, Zhang H-T. A minimal control multiagent for collision avoidance and velocity alignment. IEEE Trans Cybern, 2017, 47: 2185–2192

    Article  Google Scholar 

  6. Olfati-Saber R. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans Automat Contr, 2006, 51: 401–420

    Article  MathSciNet  Google Scholar 

  7. Ren W, Atkins E. Distributed multi-vehicle coordinated controlvia local information exchange. Int J Robust Nonlin Control, 2007, 17: 1002–1033

    Article  Google Scholar 

  8. Chen Z Y, Zhang H-T. No-beacon collective circular motion of jointly connected multi-agents. Automatica, 2011, 47: 1929–1937

    Article  MathSciNet  Google Scholar 

  9. Guo J, Yan G F, Lin Z Y. Local control strategy for moving-target-enclosing under dynamically changing network topology. Syst Control Lett, 2010, 59: 654–661

    Article  MathSciNet  Google Scholar 

  10. Lin P, Jia Y M. Distributed rotating formation control of multi-agent systems. Syst Control Lett, 2010, 59: 587–595

    Article  MathSciNet  Google Scholar 

  11. Tabuada P. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans Automat Contr, 2007, 52: 1680–1685

    Article  MathSciNet  Google Scholar 

  12. Hu W F, Liu L, Feng G. Event-triggered cooperative output regulation of linear multi-agent systems under jointly connected topologies. IEEE Trans Automat Contr, 2019, 64: 1317–1322

    Article  MathSciNet  Google Scholar 

  13. Dimarogonas D V, Frazzoli E, Johansson K H. Distributed event-triggered control for multi-agent systems. IEEE Trans Automat Contr, 2012, 57: 1291–1297

    Article  MathSciNet  Google Scholar 

  14. Seyboth G S, Dimarogonas D V, Johansson K H. Event-based broadcasting for multi-agent average consensus. Automatica, 2013, 49: 245–252

    Article  MathSciNet  Google Scholar 

  15. Hu W F, Liu L, Feng G. Consensus of linear multi-agent systems by distributed event-triggered strategy. IEEE Trans Cybern, 2016, 46: 148–157

    Article  Google Scholar 

  16. Cheng B, Li Z K. Fully distributed event-triggered protocols for linear multiagent networks. IEEE Trans Automat Contr, 2019, 64: 1655–1662

    Article  MathSciNet  Google Scholar 

  17. Cheng B, Li Z K. Coordinated tracking control with asynchronous edge-based event-triggered communications. IEEE Trans Automat Contr, 2019, 64: 4321–4328

    Article  MathSciNet  Google Scholar 

  18. Hu W F, Yang C H, Huang T W, et al. A distributed dynamic event-triggered control approach to consensus of linear multiagent systems with directed networks. IEEE Trans Cybern, 2019. doi: https://doi.org/10.1109/TCYB.2018.2868778

    Google Scholar 

  19. Wang A J, Dong T, Liao X F. Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies. Neural Netw, 2016, 74: 52–57

    Article  Google Scholar 

  20. Duan G P, Xiao F, Wang L. Hybrid event- and time-triggered control for double-integrator heterogeneous networks. Sci China Inf Sci, 2019, 62: 022203

    Article  MathSciNet  Google Scholar 

  21. Lin Z L. Control design in the presence of actuator saturation: from individual systems to multi-agent systems. Sci China Inf Sci, 2019, 62: 026201

    Article  Google Scholar 

  22. Zhu W, Jiang Z-P, Feng G. Event-based consensus of multi-agent systems with general linear models. Automatica, 2014, 50: 552–558

    Article  MathSciNet  Google Scholar 

  23. Zhu W, Jiang Z-P. Event-based leader-following consensus of multi-agent systems with input time delay. IEEE Trans Automat Contr, 2015, 60: 1362–1367

    Article  MathSciNet  Google Scholar 

  24. Godsil C, Royle G F. Algebraic Graph Theory. New York: Springer Science & Business Media, 2001. 207

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61803392, 61790572, 618909302), China Postdoctoral Science Foundation in Central South University (Grant Nos. 2018M630912, 2019T120714), and Hunan Provincial Natural Science Foundation (Grant No. 2018JJ3685).

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Correspondence to Wenfeng Hu.

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Ding, R., Hu, W. & Yang, Y. Rotating consensus control of double-integrator multi-agent systems with event-based communication. Sci. China Inf. Sci. 63, 150203 (2020). https://doi.org/10.1007/s11432-019-2692-9

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  • DOI: https://doi.org/10.1007/s11432-019-2692-9

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