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Coordination Control for a Class of Multi-Agent Systems Under Asynchronous Switching

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Abstract

This paper studies the coordination control of nonlinear multi-agent systems under asynchronous switching, including consensus, tracking control, and containment. The asynchronous switching considered here means that the switching of the controller lags behind the mode’s switching for each agent. So the matched controller is interrupted by the delayed switching. For the situation, the authors give some new results by applying the conventional distributed control protocol. The authors show that all agents can achieve consensus. Secondly, the authors show that all followers can track the actual leader. Thirdly, the authors show that all followers will converge to the convex hull spanned by the dynamic leaders as time goes on. Numerical simulations are also provided and the results show highly consistent with the theoretical results.

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References

  1. Olfati-Saber R and Murray R M, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automatic Control, 2004, 49(9): 1520–1533.

    Article  MathSciNet  MATH  Google Scholar 

  2. Hu J P and Hong Y G, Leader-following coordination of multi-agent systems with coupling time delays, Physica A: Statistical Mechanics and Its Applications, 2007, 374(2): 853–863.

    Article  Google Scholar 

  3. Zhu W and Jiang Z P, Event-based leader-following consensus of multi-agent systems with input time delay, IEEE Trans. Automatic Control, 2015, 60(5): 1362–1367.

    Article  MathSciNet  MATH  Google Scholar 

  4. Liu X L, Xu B G, and Xie L H, Distributed tracking control of second-order multi-agent systems under measurement noises, Journal of Systems Science & Complexity, 2014, 27(5): 853–865.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hu A H, Cao J D, Hu M F, et al., Event-triggered consensus of multi-agent systems with noises, J. of the Franklin Institute, 2015, 352(9): 3489–3503.

    Article  MathSciNet  MATH  Google Scholar 

  6. Liu W H, Yang C J, Deng F Q, et al., Synchronization of general linear multi-agent systems with measurement noises, Asian J. of Control, 2017, 19(2): 510–520.

    Article  MathSciNet  MATH  Google Scholar 

  7. Li Z, Liu X, Fu M, et al., Global H consensus of multi-agent systems with Lipschitz non-linear dynamics, IET Control Theory and Applications, 2012, 6(13): 2041–2048.

    Article  MathSciNet  Google Scholar 

  8. Chen J, Guan Z H, Yang C, et al., Distributed containment control of fractional-order uncertain multi-agent systems, J. of the Franklin Institute, 2016, 353(7): 1672–1688.

    Article  MathSciNet  MATH  Google Scholar 

  9. Cao Y C, Ren W, and Egerstedt M, Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks, Automatica, 2012, 48(8): 1586–1597.

    Article  MathSciNet  MATH  Google Scholar 

  10. Mu X W, Yang Z, Liu K, et al., Containment control of general multi-agent systems with directed random switching topology, J. of the Franklin Institute, 2015, 352(10): 4067–4080.

    Article  MathSciNet  MATH  Google Scholar 

  11. Cai M J and Xiang Z R, Adaptive finite-time consensus tracking for multiple uncertain mechanical systems with input saturation, International J. of Robust and Nonlinear Control, 2017, 27(9): 1653–1676.

    MathSciNet  MATH  Google Scholar 

  12. Kang Y, Qin J H, Ma Q C, et al., Cluster synchronization for interacting clusters of nonidentical nodes via intermittent pinning control, IEEE Trans. Neural Networks and Learning Systems, 2018, 99: 1–13.

    MathSciNet  Google Scholar 

  13. Qin J H, Ma Q C, Shi Y, et al., Recent advances in consensus of multi-agent systems: A brief survey, IEEE Trans. Industrial Electronics, 2017, 64(6): 4972–4983.

    Article  Google Scholar 

  14. Li Z K, Liu X D, Ren W, et al., Distributed tracking control for linear multiagent systems with a leader of bounded unknown input, IEEE Trans. Automatic Control, 2013, 58(2): 518–523.

    Article  MathSciNet  MATH  Google Scholar 

  15. Haghshenas H, Badamchizadeh M A, and Baradarannia M, Containment control of heterogeneous linear multi-agent systems, Automatica, 2015, 54(4): 210–216.

    Article  MathSciNet  MATH  Google Scholar 

  16. Zou W C and Xiang Z R, Event-triggered distributed containment control of heterogeneous linear multi-agent systems by an output regulation approach, International J. of Systems Science, 2017, 48(10): 2041–2054.

    Article  MathSciNet  MATH  Google Scholar 

  17. Zhang L X and Gao H J, Asynchronously switched control of switched linear systems with average dwell time, Automatica, 2010, 461(5): 953–958.

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhao X D, Shi P, and Zhang L X, Asynchronously switched control of a class of slowly switched linear systems, Systems and Control Letters, 2012, 61(12): 1151–1156.

    Article  MathSciNet  MATH  Google Scholar 

  19. Wang R, Wu Z G, and Shi P, Dynamic output feedback control for a class of switched delay systems under asynchronous switching, Information Sciences, 2013, 225: 72–80.

    Article  MathSciNet  MATH  Google Scholar 

  20. Wu C Y, Zhao J, and Sun X M, Adaptive tracking control for uncertain switched systems under asynchronous switching, International J. of Robust and Nonlinear Control, 2015, 25(17): 3457–3477.

    Article  MathSciNet  MATH  Google Scholar 

  21. Ma D and Zhao J, Stabilization of networked switched linear systems: An asynchronous switching delay system approach, Systems and Control Letters, 2015, 77: 46–54.

    Article  MathSciNet  MATH  Google Scholar 

  22. Yuan C Z and Wu F, Asynchronous switching output feedback control of discrete-time switched linear systems, International J. of Control, 2015, 88(9): 1766–1774.

    Article  MathSciNet  MATH  Google Scholar 

  23. Wu X T, Tang Y, Cao J D, et al., Distributed consensus of stochastic delayed multi-agent systems under asynchronous switching, IEEE Trans. Cybernetics, 2016, 46(8): 1817–1827.

    Article  Google Scholar 

  24. Li C J, Yu X H, Liu Z W, et al., Asynchronous impulsive containment control in switched multiagent systems, Information Sciences, 2016, 370: 667–679.

    Article  Google Scholar 

  25. Liu W H, Yang C J, Sun Y X, et al., Observer-based event-triggered containment control of multiagent systems with time delay, International J. of Systems Science, 2017, 48(6): 1217–1225.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Wenhui Liu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61333007.

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Zhao, X., Liu, W. & Yang, C. Coordination Control for a Class of Multi-Agent Systems Under Asynchronous Switching. J Syst Sci Complex 32, 1019–1038 (2019). https://doi.org/10.1007/s11424-018-7311-9

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  • DOI: https://doi.org/10.1007/s11424-018-7311-9

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