ROBUST CLUSTER CONSENSUS OF HIGH FRACTIONAL-ORDER NONLINEAR MULTI-AGENT SYSTEMS WITH EXTERNAL DISTURBANCES

Zahra Yaghoubi

References

  1. [1] L. Yang, Z. Cao, C. Zhou, L. Cheng, and M. Tan, Formationcontrol and switching for multiple robots in uncertain envi-ronments, International Journal of Robotics & Automation,25(3), 2010, 240.
  2. [2] Q. Han, S. Sun, and H. Lang, Leader-follower formationcontrol of multi-robots based on bearing-only observations,International Journal of Robotics and Automation, 34(2), 2019,120–129.
  3. [3] Y.V. Karteek, I. Kar, and S. Majhi, Consensus of multi-agentsystems using back-tracking and history following algorithms,International Journal of Robotics and Automation, 32(4), 2017.
  4. [4] J. Zhan and X. Li, Cluster consensus in networks of agents withweighted cooperative–competitive interactions, IEEE Trans-actions on Circuits & Systems II: Express Briefs, 65(2), 2018,241–245.
  5. [5] B. Goodwine, Modeling a multi-robot system with fractional-order differential equations, Robotics and Automation (ICRA),2014 IEEE International Conference on, Citeseer, Hong Kong,China, 2014, 1763–1768.
  6. [6] P. Skobelev, E. Simonova, A. Zhilyaev, and V. Travin, Appli-cation of multi-agent technology in the scheduling system ofswarm of Earth remote sensing satellites, Procedia ComputerScience, 103, 2017, 396–402.
  7. [7] J. Ansari, A. Gholami, and A. Kazemi, Multi-agent systemsfor reactive power control in smart grids, International Journalof Electrical Power & Energy Systems, 83, 2016, 411–425.
  8. [8] G. Ren and Y. Yu, Robust consensus of fractional multi-agent systems with external disturbances, Neurocomputing,218, 2016, 339–345.
  9. [9] H. Du, S. Li, and P. Shi, Robust consensus algorithm forsecond-order multi-agent systems with external disturbances,International Journal of Control, 85(12), 2012, 1913–1928.6
  10. [10] Y. Cao, Y. Li, W. Ren, and Y. Chen, Distributed coordinationof networked fractional-order systems, IEEE Transactions onSystems, Man, and Cybernetics, Part B (Cybernetics), 40(2),2010, 362–370.
  11. [11] T. Mur and H.R. Henriquez, Relative controllability of linearsystems of fractional order with delay, Mathematical Controland Related Fields, 5(4), 2015, 845–858.
  12. [12] Z. Yaghoubi and H.A. Talebi, Consensus tracking for nonlinearfractional-order multi-agent systems using adaptive slidingmode controller, Mechatronic Systems and Control, 47(4),2019, 194–200.
  13. [13] L. Ding, P. Yu, Z.-W. Liu, and Z.-H. Guan, Consensus andperformance optimisation of multi-agent systems with position-only information via impulsive control, IET Control Theory &Applications, 7(1), 2013, 16–24.
  14. [14] I. Podlubny, Fractional differential equations: an introduc-tion to fractional derivatives, fractional differential equations,to methods of their solution and some of their applications(California, USA: Elsevier, 1998).
  15. [15] Y. Li, Y. Chen, and I. Podlubny, Stability of fractional-ordernonlinear dynamic systems: Lyapunov direct method andgeneralized Mittag–Leffler stability, Computers & Mathematicswith Applications, 59(5), 2010, 1810–1821.
  16. [16] N. Aguila-Camacho, M.A. Duarte-Mermoud, and J.A. Galle-gos, Lyapunov functions for fractional order systems, Com-munications in Nonlinear Science and Numerical Simulation,19(9), 2014, 2951–2957.
  17. [17] S. Zhang, Y. Yu, and J. Yu, LMI conditions for global stabilityof fractional-order neural networks, IEEE Transactions onNeural Networks and Learning Systems, 28(10), 2017, 2423–2433.
  18. [18] Z. Li, Z. Duan, G. Chen, and L. Huang, Consensus of multiagentsystems and synchronization of complex networks: A unifiedviewpoint, IEEE Transactions on Circuits & Systems I: RegularPapers, 57(1), 2010, 213–224.
  19. [19] X. Yang, C. Li, T. Huang, and Q. Song, Mittag–Leffler stabilityanalysis of nonlinear fractional-order systems with impulses,Applied Mathematics and Computation, 293, 2017, 416–422.
  20. [20] G. Wen, Z. Duan, G. Chen, and W. Yu, Consensus trackingof multi-agent systems with Lipschitz-type node dynamicsand switching topologies, IEEE Transactions on Circuits andSystems I: Regular Papers, 61(2), 2014, 499–511.
  21. [21] L. Chen, Y.-W. Wang, W. Yang, and J.-W. Xiao, Robustconsensus of fractional-order multi-agent systems with inputsaturation and external disturbances, Neurocomputing, 303,2018, 11–19.
  22. [22] R.A. Horn and C.R. Johnson, Matrix analysis (Cambridge,United Kingdom: Cambridge University Press, 1990).
  23. [23] F. Zhu and Z. Han, A note on observers for Lipschitz nonlinearsystems, IEEE Transactions on Automatic Control, 47(10),2002, 1751–1754.

Important Links:

Go Back