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Robust consensus tracking of heterogeneous multi-agent systems under switching topologies

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Abstract

This paper considers a robust consensus tracking problem of heterogeneous multi-agent systems with time-varying interconnection topologies. Based on common Lyapunov function and internal model techniques, both state and output feedback control laws are derived to solve this problem. The proposed design is robust by admitting some parameter uncertainties in the multi-agent system.

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References

  1. Fax J and Murray R, Information flow and cooperative control of vehicle formations, IEEE Trans. Automat. Control, 2004, 49(9): 1465–1476.

    Article  MathSciNet  Google Scholar 

  2. Ren W and Beard R, Distributed Consensus in Multi-Vehicle Cooperative Control: Theory and Applications, Springer-Verlag, London, 2008.

    Book  MATH  Google Scholar 

  3. Li L, Ho D, and Lu J, A unified approach to practical consensus with quantized data and time delay, IEEE Trans. Circuits Syst. I. Regul. Pap., 2013, 60(10): 2668–2678.

    Article  MathSciNet  Google Scholar 

  4. Meng Z, Ren W, Cao Y, et al., Leaderless and leader-following consensus with communication and input delays under a directed network topology, IEEE Trans. Syst., Man, Cybern. B, Cybern., 2011, 41(1): 75–88.

    Article  Google Scholar 

  5. Hong Y, Hu J, and Gao L, Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 2006, 42(7): 1177–1182.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hong Y and Wang X, Multi-agent tracking of a high-dimensional active leader with switching topology, Journal of Systems Science and Complexity, 2009, 22(4): 722–731.

    Article  MathSciNet  MATH  Google Scholar 

  7. Ni W and Cheng D, Leader-following consensus of multi-agent systems under fixed and switching topologies, Systems Control Lett., 2010, 59(3): 209–217.

    Article  MathSciNet  MATH  Google Scholar 

  8. Tang Y, Leader-following coordination problem with an uncertain leader in a multi-agent system, IET Control Theory Appl., 2014, 8(10): 773–781.

    Article  MathSciNet  Google Scholar 

  9. Tang Y and Hong Y, Hierarchical distributed control design for multi-agent systems using approximate simulation, Acta Automatica Sinica, 2013, 39(6): 868–874.

    Article  MathSciNet  Google Scholar 

  10. Wonham W, Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York, 1979.

    Book  MATH  Google Scholar 

  11. Wang X, Hong Y, Huang J, et al., A distributed control approach to a robust output regulation problem for multi-agent linear systems, IEEE Trans. Automat. Control, 2010, 55(12): 2891–2895.

    Article  MathSciNet  Google Scholar 

  12. Su Y, Hong Y, and Huang J, A general result on the robust cooperative output regulation for linear uncertain multi-agent systems, IEEE Trans. Automat. Control, 2013, 58(5): 1275–1279.

    Article  MathSciNet  Google Scholar 

  13. Su Y and Huang J, Cooperative output regulation of linear multi-agent systems, IEEE Trans. Automat. Control, 2012, 57(4): 1062–1066.

    Article  MathSciNet  Google Scholar 

  14. Su Y and Huang J, Cooperative output regulation with application to multi-agent consensus under switching network, IEEE Trans. Syst., Man, Cybern., Syst., 2012, 42(3): 864–875.

    Article  Google Scholar 

  15. Wang X and Han F, Robust coordination control of switching multi-agent systems via output regulation approach, Kybernetika, 2011, 47(5): 755–772.

    MathSciNet  MATH  Google Scholar 

  16. Xi Z and Ding Z, Global decentralised output regulation for a class of large-scale nonlinear systems with nonlinear exosystem, IET Control Theory Appl., 2007, 1(5): 1504–1511.

    Article  MathSciNet  Google Scholar 

  17. Boyd S L, Ghaoui E I, Feron E, et al., Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.

    Book  MATH  Google Scholar 

  18. Godsil C and Royle G, Algebraic Graph Theory, Springer-Verlag, New York, 2001.

    Book  MATH  Google Scholar 

  19. Huang J, Nonlinear Output Regulation: Theory and Applications, SIAM, Philadelphia, 2004.

    Book  MATH  Google Scholar 

  20. Khalil H, Nonlinear Systems, 3rd Edition, Prentice Hall, New Jersey, 2001.

    Google Scholar 

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Authors and Affiliations

  1. School of Automation, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Yutao Tang

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  1. Yutao Tang
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Correspondence to Yutao Tang.

Additional information

This research was supported by the Fundamental Research Funds for the Central Universities under Grant No. 24820152015RC36 and the National Natural Science Foundation of China under Grant No. 61503033.

This paper was recommended for publication by Editor SUN Jian.

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Tang, Y. Robust consensus tracking of heterogeneous multi-agent systems under switching topologies. J Syst Sci Complex 29, 1226–1237 (2016). https://doi.org/10.1007/s11424-016-4245-y

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  • DOI: https://doi.org/10.1007/s11424-016-4245-y

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