Kybernetika 49 no. 4, 524-538, 2013

Distributed output regulation for linear multi-agent systems with unknown leaders

Xinghu Wang, Haibo Ji and Chuanrui Wang

Abstract:

In this paper, the distributed output regulation problem of linear multi-agent systems with parametric-uncertain leaders is considered. The existing distributed output regulation results with exactly known leader systems is not applicable. To solve the leader-following with unknown parameters in the leader dynamics, a distributed control law based on an adaptive internal model is proposed and the convergence can be proved.

Keywords:

multi-agent systems, output regulation problem, internal model

Classification:

93A14, 93C10

References:

  1. B. A. Francis and W. M. Wonham: The internal model priciple of control theory. Automatica 12 (1976), 457-465.   CrossRef
  2. C. Godsil and G. F. Royle: Algebraic Graph Theory. Springer-Verlag, New York 2001.   CrossRef
  3. 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
  4. Y. Hong, L. Gao, D. Cheng and J. Hu: Lyapunov-based approach to multi-agent systems with switching jointly connected interaction. IEEE Trans. Automat. Control 52 (2007), 943-948.   CrossRef
  5. Y. Hong, X. Wang and Z. Jiang: Distribued output regualtion of leader-follower multi-agent systems. Internat. J. Robust Nonlinear Control 23 (2003), 48-66.   CrossRef
  6. J. Hu and G. Feng: Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica 46 (2010), 1382-1387.   CrossRef
  7. J. Huang and Z. Chen: A general framework for tackling the output regulation problem. IEEE Trans. Automat. Control 49 (2004), 2203-2218.   CrossRef
  8. A. Isidori and C. I. Byrnes: Output regulation of nonlinear systems. IEEE Trans. Automat. Control 35 (1990), 131-140.   CrossRef
  9. A. Isidori: Nonlinear Control Systems II. Springer-Verlag, New York 1999.   CrossRef
  10. H. K. Khalil: Nonlinear Systems. Second Edition. Macmillan, New York 1992.   CrossRef
  11. L. Liu, Z. Chen and J. Huang: Parameter convergence and minimal internal model with an adaptive output regulation problem. Automatica 45 (2009), 1206-1311.   CrossRef
  12. R. Marino and P. Tomei: Nonlinear Control Design: Geometric, Adaptive and Robust. Prentice-Hall, London 1995.   CrossRef
  13. R. Marino and P. Tomei: Output regulation for linear systems via adaptive internal model. IEEE Trans. Automat. Control 48 (2003), 2199-2202.   CrossRef
  14. G. Obregón-Pulido, B. Castillo-Toledo and A. G. Loukianov: A structurally stable globally adaptive internal model regulator for MIMO linear systems. IEEE Trans. Automat. Control 56 (2011), 160-165.   CrossRef
  15. R. Olfati, J. A. Fax and R. M. Murray: Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95 (2007), 215-223.   CrossRef
  16. Y. Su and J. Huang: Cooperative output regulation of linear multi-agent systems IEEE Trans. Automat. Control 57 (2012), 1062-1066.   CrossRef
  17. 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
  18. X. Wang and F. Han: Robust coordination control of switching multi-agent systems via output regulation approach. Kybernetika 47 (2011), 755-772.   CrossRef
  19. D. Xu and Y. Hong: Distributed output regulation of nonlinear multi-agent systems based on networked internal model. In: Proc. Chinese Contol Conference, Hefei 2012, pp. 6483-6488.   CrossRef