DOI QR코드

DOI QR Code

Consensus Control for Switched Multi-agent Systems with Interval Time-varying Delays

구간 시변 지연을 고려한 전환 멀티-에이전트 시스템에 대한 일치 제어

  • Received : 2012.02.26
  • Accepted : 2012.03.27
  • Published : 2012.05.01

Abstract

This paper considers multi-agent systems with interval time-varying delays and switching interconnection topology. By construction of a suitable Lyapunov-Krasovskii's functional, new delay-dependent consensus control conditions for the systems are established in terms of LMIs (Linear Matrix Inequalities) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

Keywords

References

  1. R. O. Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proceeding of the IEEE, vol. 95, no. 1, pp. 215-233, 2007. https://doi.org/10.1109/JPROC.2006.887293
  2. W. Ren and R. W. Beard, "Consensus seeking in multi-agent systems under dynamically chainging interaction topologies," IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 655-661, 2005. https://doi.org/10.1109/TAC.2005.846556
  3. J. Wang, D. Cheng, and X. Hu, "Consensus of multi-agent linear dynamic systems," Asian Journal of Control, vol. 10, no. 2, pp. 144-155, 2008. https://doi.org/10.1002/asjc.15
  4. W. Ren, "Consensus strategies for cooperative control of vehicle formations," IET Control Theory and Applications, vol. 1, no. 2, pp. 505-512, 2007. https://doi.org/10.1049/iet-cta:20050401
  5. W. Qiong, L. Wenyin, Y. Yihan, Z. Chuan, and L. Yong, "Intelligent decision support system for power grid dispatching base on multi-agent system," International Conference on Power System Technology (PowerCon 2006), pp. 1-5, 2006.
  6. P. DeLellis, M. diBernardo, F. Garofalo, and D. Liuzza, "Analysis and stability of consensus in networked control systems," Applied Mathematics and Computation, vol. 217, pp. 988-1000, 2010. https://doi.org/10.1016/j.amc.2010.01.126
  7. Y. Hong, L. Gao, D. Cheng, and J. Hu, "Lyapunov-based approach to multiagent systems with switching jointly connected interconnection," IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 943-948, 2007. https://doi.org/10.1109/TAC.2007.895860
  8. F. Xiao and L. Wang, "State consensus for multi-agent systems with switching topologies and time-varying delays," Intnational Journal of Control, vol. 79, no. 10, pp. 1277-1284, 2006. https://doi.org/10.1080/00207170600825097
  9. Y. P. Tian and C. L. Liu, "Consensus of mulit-agent systems with diverse input and communication delays," IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2122- 2128, 2008. https://doi.org/10.1109/TAC.2008.930184
  10. J. Qin, H. Gao, and W. X. Zheng, "On average consensus in directed networks of agents with switching topology and time delay," International Journal of Systems Science, vol. 42, no. 12, pp. 1947-1956, 2011. https://doi.org/10.1080/00207721003802271
  11. S. Xu and J. Lam, "A survey of linear matrix inequality techniques in stability analysis of delay systems," International Journal of Systems Science, vol. 39, no. 12, pp. 1095-1113, 2008. https://doi.org/10.1080/00207720802300370
  12. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994.
  13. C. Godsil and G. Royle, Algebraic Graph Theory, Springer- Verlag; NY, 2001.
  14. K. Gu, "An integral inequality in the stability problem of timedelay systems," Proceeding of the 39th IEEE Conference on Decision and Control, pp. 2805-2810, 2000.
  15. M. C. de Oliveira and R. E. Skelton, Stability tests for constrained linear systems, Springer-Verlag, Belrin, pp. 241-257, 2001.
  16. M. C. de Oliveira and R. E. Skelton, Stability tests for constrained linear systems, Springer-Verlag, Belrin, pp. 241-257, 2001.
  17. P. Park, J. W. Ko, and C. K. Jeong, "Reciprocally convex approach to stability of systems with time-varying delays," Automatica, vol. 47, no. 1, pp. 235-238, 2011. https://doi.org/10.1016/j.automatica.2010.10.014
  18. J.-H. Kim and K.-H. Lee, "Multi-robot cooperation-based mobile printer system," Robotics and Autonomous Systems, vol. 54, no. 3, pp. 193-204, 2005.
  19. E. M. Davidson, S. D. J. McArthur, J. R. McDonald, T. Cumming, and I. Watt, "Applying multi-agent system technology in practice: automated management and analysis of SCADA and digital fault recorder data," IEEE Transactions on Power Systems, vol. 21, no. 2, pp. 559-567, 2006. https://doi.org/10.1109/TPWRS.2006.873109
  20. K. You and L. Xie, "Coordination of discrete-time multi-agent systems via relative output feedback," International Journal of Robust and Nonlinear Control, vol. 21, pp. 1587-1605, 2011. https://doi.org/10.1002/rnc.1659
  21. K. You and L. Xie, "Coordination of discrete-time multi-agent systems via relative output feedback," International Journal of Robust and Nonlinear Control, vol. 21, pp. 1587-1605, 2011. https://doi.org/10.1002/rnc.1659
  22. S. E. Kim and D. E. Kim, "Air-ground cooperation robots: applications and challenges," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 2, pp. 101- 106, 2010. https://doi.org/10.5302/J.ICROS.2010.16.2.101
  23. J. Y. Jang and K. S. Seo, "Evolutionary generation of the motions for cooperative work between humanoid and mobile robot," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 2, pp. 107-113, 2010. https://doi.org/10.5302/J.ICROS.2010.16.2.107

Cited by

  1. Stability on Time Delay Systems: A Survey vol.20, pp.3, 2014, https://doi.org/10.5302/J.ICROS.2014.14.9016