Advertisement

Adaptive Distributed Observer for an Uncertain Leader over Directed Acyclic Graphs

  • Shimin Wang
  • Jie HuangEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11555)

Abstract

Recently, an adaptive distributed observer for a class of uncertain leader systems was established over undirected connected graphs. In this paper, we further study the same problem over directed connected graphs. It is shown that, if the graph is acyclic, then an adaptive distributed observer exists in the sense that it can not only estimate the leader’s state, but also the unknown parameters of the leader’s system matrix exponentially.

Keywords

Distributed observer Leader-following Consensus Uncertain leader Multi-agent systems 

References

  1. 1.
    Cai, H., Huang, J.: The leader-following consensus for multiple uncertain Euler-Lagrange systems with an adaptive distributed observer. IEEE Trans. Autom. Control 61(10), 3152–3157 (2016)Google Scholar
  2. 2.
    Chen, Z., Huang, J.: Stabilization and Regulation of Nonlinear Systems. Springer, Cham (2015).  https://doi.org/10.1007/978-3-319-08834-1Google Scholar
  3. 3.
    Marino, R., Tomei, P.: Nonlinear Control Design: Geometric, Adaptive and Robust. Prentice Hall International (UK) Ltd., Upper Saddle River (1996)Google Scholar
  4. 4.
    Merino, D.I.: Topics in matrix analysis. Ph.D. dissertation, Johns Hopkins University (1992)Google Scholar
  5. 5.
    Modares, H., Nageshrao, S.P., Babuška, R., Lopes, G.A.D., Lewis, F.L.: Optimal model-free output synchronization of heterogeneous systems using off-policy rein-forcement learning. Automatica 71, 334–341 (2016)Google Scholar
  6. 6.
    Su, Y., Huang, J.: Cooperatve output regulation of linear multi-agent systems. IEEE Trans. Autom. Control 57(4), 1062–1066 (2012)Google Scholar
  7. 7.
    Su, Y., Huang, J.: Cooperative output regulation with application to multi-agent consensus under switching network. IEEE Trans. Syst. Man Cybern. Part B Cybern. 42(3), 864–875 (2012)Google Scholar
  8. 8.
    Slotine, J.J.E., Li, W.: Applied Nonlinear Control, vol. 199. Prentice Hall, Englewood Cliffs (1991)Google Scholar
  9. 9.
    Wu, Y., Lu, R., Shi, P., Su, H., Wu, Z.G.: Adaptive output synchronization of heterogeneous network with an uncertain leader. Automatica 76, 183–192 (2017)Google Scholar
  10. 10.
    Wang, S., Huang, J.: Adaptive leader-following consensus for multiple Euler-Lagrange systems with an uncertain leader. IEEE Trans. Neural Netw. Learn. Syst. (2018).  https://doi.org/10.1109/TNNLS.2018.2878463
  11. 11.
    Wang, S., Huang, J.: Cooperative output regulation of linear multi-agent systems subject to an uncertain leader system. In: 2018 15th IEEE International Conference on Information and Automation, 11–13 August, Fujian, China, pp. 57–62 (2018)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mechanical and Automation EngineeringThe Chinese University of Hong KongShatin, N.T.Hong Kong

Personalised recommendations