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Multi-agent tracking of a high-dimensional active leader with switching topology

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Abstract

This paper considers a multi-agent tracking problem for a high-dimensional active leader and variable interconnection topology. The state of the leader not only keeps changing but also may not be measured. To estimate the state such a leader individually, a neighbor-based local controller together with a neighbor-based state-estimation rule is given for each autonomous agent. Then, the authors prove that, with the help of a constructed common Lyapunov function (CLF), each agent can track the active leader with unmeasurable states. Finally, the authors explicitly construct a CLF for an active leader with unknown periodic input for illustration.

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References

  1. I. D. Couzin, J. Krause, N. Franks, and S. Levin, Effective leadership and decision making in animal groups on the move, Nature, 2005, 433: 513–516.

    Article  Google Scholar 

  2. A. Fax and R. Murray, Information flow and cooperative control of vehicle formations, IEEE Trans. on Automatic Control, 2004, 49(9): 1453–1464.

    Article  MathSciNet  Google Scholar 

  3. B. Liu, T. Chu, L. Wang, and G. Xie, Controllability of a leader-follower dynamic network with switching topology, IEEE Trans. Automatic Control, 2008 53(4): 1009–1013.

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Okubo, Dynamical aspects of animal grouping: Swarms, schools, flocks and herds, Advances in Biophysics, 1986, 22: 1–94.

    Article  Google Scholar 

  6. Y. Hong, G. Chen, and L. Bushnell, Distributed observers design for leader-following control of multi-agent networks, Automatica, 2008, 44: 846–850.

    Article  MathSciNet  Google Scholar 

  7. J. Hu and X. Hu, Optimal target trajectory estimation and filtering using networked sensors systems, J. Systems Science & Complexity, 2008, 21(4): 325–334.

    Article  MATH  Google Scholar 

  8. F. Zhao, J. Shin, and J. Reich, Information-driven dynamic sensor collaboration for tracking applications, IEEE Signal Processing Mag., 2002, 19(2): 61–72.

    Article  Google Scholar 

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

    MATH  Google Scholar 

  10. W. M. Wonham, Linear Multivariable Contol, Springer-Verlag, New York, 1985.

    Google Scholar 

  11. A. Jadbabaie, J. Lin, and A. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automatic Control, 2003, 48(6): 998–1001.

    Article  MathSciNet  Google Scholar 

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Correspondence to Yiguang Hong.

Additional information

This research is supported in part by the National Natural Science Foundation of China under Grant Nos. 60874018, 60628302, and 60821091.

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Hong, Y., Wang, X. Multi-agent tracking of a high-dimensional active leader with switching topology. J Syst Sci Complex 22, 722–731 (2009). https://doi.org/10.1007/s11424-009-9197-z

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  • DOI: https://doi.org/10.1007/s11424-009-9197-z

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