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Lyapunov Analysis for Cooperative Adaptive Consensus Under Undirected Graph

  • Yongduan SongEmail author
  • Yujuan Wang
Chapter
Part of the Communications and Control Engineering book series (CCE)

Abstract

For the distributed adaptive cooperative control of nonlinear multi-agent systems subject to unknown time-varying gain and non-parametric uncertainties, it requires the use of special Lyapunov functions that depend on the graph Laplacian and parametric estimation error in a certain way.

References

  1. 1.
    Song, Y.D., Huang, X.C., Wen, C.Y.: Tracking control for a class of unknown nonsquare MIMO nonaffine systems: a deep-rooted information based robust adaptive approach. IEEE Trans. Autom. Control 61(10), 3227–3233 (2016)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Chen, Z., Huang, J.: Dissipativity, stabilization, and regulation of cascade-connected systems. IEEE Trans. Autom. Control 49(5), 635–650 (2004)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Hornik, K., Stinchcombe, M., White, H.: Multilayer feedforward networks are universal approximators. Neural Netw. 2(5), 359–366 (1989)CrossRefGoogle Scholar
  4. 4.
    Wang, Y.J., Song, Y.D., Lewis, F.L.: Robust adaptive fault-tolerant control of multi-agent systems with uncertain non-identical dynamics and undetectable actuation failures. IEEE Trans. Ind. Electron. 62(6), 3978–3988 (2015)Google Scholar
  5. 5.
    Zhang, H., Lewis, F.L.: Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Automatica 48, 1432–1439 (2012)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Shen, Q., Jiang, B., Shi, P., Jun, Z.: Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multi-agent systems with time-varying actuator faults. IEEE Trans. Fuzzy Syst. 22(3), 494–504 (2014)CrossRefGoogle Scholar
  7. 7.
    Olfati-Saber, R., Murray, R.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49, 1520–1533 (2004)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Zhang, H., Lewis, F.L., Qu, Z.: Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs. IEEE Trans. Ind. Electron. 59, 3026–3041 (2012)CrossRefGoogle Scholar
  9. 9.
    Bernstein, D.: Matrix Mathematics: Theory, Facts, and Formulas, 2nd edn. Princeton University Press, Princeton (2009)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of AutomationChongqing UniversityChongqingChina

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