Kybernetika 47 no. 4, 630-643, 2011

Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays

Jiangping Hu, Guanrong Chen and Han-Xiong Li

Abstract:

As embedded microprocessors are applied widerly to multi-agent systems, control scheduling and time-delay problems arose in the case of limited energy and computational ability. It has been shown that the event-triggered actuation strategy is an effective methodology for designing distributed control of multi-agent systems with limited computational resources. In this paper, a tracking control problem of leader-follower multi-agent systems with/without communication delays is formulated and a distributed dynamic tracking control is designed by employing event-triggered technique. Then, the input-to-state stability of the closed-loop multi-agent system with directed interconnections is analyzed. Finally, a numerical example is given to validate the proposed control.

Keywords:

leader-follower multi-agent system, event-triggered control, time-varying delay, directed topology

Classification:

93A14, 93C10

References:

  1. Y. Cao, D. Stuart, W. Ren and Z. Meng: Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments. IEEE Trans. Control Systems Technol. 19 (2011), 929-938.   CrossRef
  2. D. V. Dimarogonas and E. Frazzoli: Distributed event-triggered strategies for multi-agent systems. In: Proc. 47th Annual Allerton Conference on Communications, Control and Computing, Monticello 2009, pp. 906-910.   CrossRef
  3. D. V. Dimarogonas and K. H. Johansson: Event-triggered control for multi-agent systems. In: Proc. IEEE CDC/CCC2009, Shanghai 2009, pp. 7131-7136.   CrossRef
  4. A. Eqtami, D. V. Dimarogonas and K. J. Kyriakopoulos: Event-triggered control for discrete-time systems. In: Proc. American Control Conference, Baltimore 2010, pp. 4719-4724.   CrossRef
  5. Y. Gao and L. Wang: Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements. Internat. J. Control 83 (2010), 552-562.   CrossRef
  6. C. Godsil and G. Royle: Algebraic Graph Theory. Springer-Verlag, New York 2001.   CrossRef
  7. J. K. Hale and S. M. V. Lunel: Introduction to the Theory of Functional Differential Equations. Applied Mathematical Sciences, Springer, New York 1991.   CrossRef
  8. Y. Hong, J. Hu and L. Gao: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182.   CrossRef
  9. J. Hu: On robust consensus of multi-agent systems with communication time-delays. Kybernetika 45 (2009), 768-784.   CrossRef
  10. J. Hu and G. Feng: Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica 46 (2010), 1382-1387.   CrossRef
  11. J. Hu and Y. Hong: Leader-following coordination of multi-agent systems with coupling time delays. Physica A 374 (2007), 853-863.   CrossRef
  12. D. B. Kingston, W. Ren and R. Beard: Consensus algorithms are inputto-state stable. In: Proc. American Control Conference 2005, pp. 1686-1690.   CrossRef
  13. T. Li and J. Zhang: Mean square average-consensus under measurement noises and fixed topologies: necessary and sufficient conditions. Automatica 45 (2009), 1929-1936.   CrossRef
  14. Z. Liu and Z. Chen: Event-triggered average-consensus for multi-agent systems. In: Proc. 29th Chinese Control Conference, Beijing 2010, pp. 4506-4511.   CrossRef
  15. Y. Liu and Y. Jia: Consensus problem of high-order multi-agent systems with external disturbances: an H-infinity analysis approach. Internat. J. Robust Nonlinear Control 20 (2010), 1579-1593.   CrossRef
  16. L. Moreau: Stability of multiagent systems with time-dependent communication links. IEEE Trans. Automat. Control 50 (2005), 169-182.   CrossRef
  17. R. Olfati-Saber and R. M. Murray: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automat. Control 49 (2004), 1520-1533.   CrossRef
  18. G. Shi and Y. Hong: Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies. Automatica 45 (2009), 1165-1175.   CrossRef
  19. E. D. Sontag: Input to state stability: basic concepts and results. In: Proc. CIME Summer Course on Nonlinear and Optimal Control Theory 2004, pp. 462-488.   CrossRef
  20. P. Tabuada: Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans. Automat. Control 52 (2007), 1680-1685.   CrossRef
  21. X. Wang, Y. Hong, J. Huang and Z. Jiang: A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Trans. Automat. Control 55 (2010), 2891-2895.   CrossRef
  22. X. Wang and M. D. Lemmon: Event-triggering in distributed networked control systems. IEEE Trans. Automat. Control 56 (2011), 586-601.   CrossRef