Journal of IKEEE (전기전자학회논문지)

Institute of Korean Electrical and Electronics Engineers (한국전기전자학회)
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Output Feedback Consensus of High-order Integrators with a Communication Delay

통신 지연을 갖는 고차 적분기시스템의 출력 피드백 일치

  • Lee, Sungryul (Dept. of Control & Robotics Engineering, Kunsan National University)
  • Received : 2016.11.08
  • Accepted : 2016.12.23
  • Published : 2016.12.31
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Abstract

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.

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.

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References

  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