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통신 지연을 갖는 고차 적분기시스템의 출력 피드백 일치

Output Feedback Consensus of High-order Integrators with a Communication Delay

  • Lee, Sungryul (Dept. of Control & Robotics Engineering, Kunsan National University)
  • 투고 : 2016.11.08
  • 심사 : 2016.12.23
  • 발행 : 2016.12.31

초록

본 논문은 통신 지연을 가지는 방향 네트워크로 연결된 고차 적분기시스템의 출력 피드백 일치문제를 다룬다. 이 문제를 해결하기 위하여 기존의 저이득 제어기에 설계변수를 추가한 새로운 동적 출력 피드백 제어기를 제안한다. 또한, 제안한 제어기의 존재성이 임의로 큰 통신지연이 존재하는 경우에도 항상 보장됨을 증명한다.

This paper addresses the output feedback consensus problem for high-order integrators under a directed network with a communication delay. In order to solve this problem, the dynamic output feedback controller is proposed. Also, by using Lyapunov-Krasovskii functional, it is shown that the existence of the proposed consensus controller can always be guaranteed even in the presence of an arbitrarily large communication delay.

키워드

참고문헌

  1. R. Olfati-Saber, and R. Murray, "Consensus Problems in Networks of Agents With Switching Topology and Time-Delays," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1520-1533, 2004. https://doi.org/10.1109/TAC.2004.834113
  2. J. Seo, H. Shim, and J. Back, "Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach," Automatica, vol. 45, pp. 2659-2664, 2009. https://doi.org/10.1016/j.automatica.2009.07.022
  3. P. Wieland, R. Sepulchre, and F. Allgower, "An internal model principle is necessary and sufficient for linear output synchronization," Automatica, vol. 47, pp. 1068-1074, 2011. https://doi.org/10.1016/j.automatica.2011.01.081
  4. Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint," IEEE Trans. Circuits & Systems-I: Regular Papers, vol. 57, no. 1, pp. 213-224, 2010. https://doi.org/10.1109/TCSI.2009.2023937
  5. H. L. Trentelman, K. Takaba, and N. Monshizadeh, "Robust Synchronization of Uncertain Linear Multi-Agent Systems," IEEE Trans. On Automat. Contr., vol. 58, no. 6, June 2013, pp1511-1523. https://doi.org/10.1109/TAC.2013.2239011
  6. Z. Li, W. Ren, X. Liu, and M. Fu, "Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols," IEEE Trans. Automat. Control, vol. 58, no. 7, pp.1786-1791, 2013. https://doi.org/10.1109/TAC.2012.2235715
  7. P. Lin, Y. Jia, and L. Li, "Distributed robust H infinite consensus control in directed networks of agents with time-delay," Systems & Control Letters, vol. 57, pp. 643-653, 2008. https://doi.org/10.1016/j.sysconle.2008.01.002
  8. Y.G. Sun and L. Wang, "Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays," IEEE Trans. Automat. Control, vol. 54, no. 7, pp. 1607-1613, 2009. https://doi.org/10.1109/TAC.2009.2017963
  9. Y.G. Sun, L. Wang, and G. Xie, "Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays," Systems & Control Letters, vol. 57, pp. 175-183, 2008. https://doi.org/10.1016/j.sysconle.2007.08.009
  10. Y. Cui, and Y. Jia, "$L_2$-$L_{\infty}$ consensus control for high-order multi-agent systems with switching topologies and time-varying delays," IET Control Thoery & Applications, vol.6, iss.12. pp.1933-1940, 2012 https://doi.org/10.1049/iet-cta.2011.0577
  11. Sungryul Lee, "Consensus of High-Order Integrators With a Communication Delay," j.inst.Korean.electr.electron.eng, vol.19, no.4, pp. 520-525, 2015.
  12. A. Isidori, L. Marconi, and G. Casadei, "Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory," IEEE Transactions on Automatic Control, vol.59, no.10, pp.2680-2691, 2014 https://doi.org/10.1109/TAC.2014.2326213
  13. B. Zhou and Z. Lin, "Consensus of high-order multi-agent systems with large input and communication delays," Automatica, vol. 50, no.2, pp. 452-464, 2014 https://doi.org/10.1016/j.automatica.2013.12.006