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Robust Lyapunov–Krasovskii based design for explicit control protocol against heterogeneous delays

Author

Listed:
  • Lina He

    (Hohai University
    State Key Laboratory of Geo-Information Engineering)

  • Hairui Zhou

    (The 28th Institute of CETC)

Abstract

TCP has been extensively credited for the stability of the Internet. However, as the product of bandwidth and latency increases, TCP becomes inefficient and prone to instability. The explicit control protocol (XCP) is a promising congestion control protocol that outperforms TCP in terms of efficiency, fairness, convergence speed, persistent queue length and packet loss rate. However, XCP is not globally stable in the presence of heterogeneous delays. When the ratio of maximum to average transmission latency is sufficiently large, XCP will become instability. In this paper, according to the robust control theory, with the help of a recently developed Lyapunov–Krasovskii functional, an improved version of XCP, named R-XCP, is proposed to solve the weakness of XCP under heterogeneous delays, which adjusts parameter $$\alpha $$ α from an initial value of 0.4 to a reasonable value for improving system robustness. And then, the synthesis problem is reduced to a convex optimization scheme expressed in terms of linear matrix inequalities. Extensive simulations have shown that R-XCP significantly decreases the volatilities of the aggregate traffic rate and control time interval, and indeed achieves this stability goal. Compared with previous work, R-XCP has a better balance between robustness and responsiveness, and the computational complexity declines significantly at the same time. Besides, R-XCP makes the system less sensitive to flows, which contribute little traffic but maliciously report their transmission delays.

Suggested Citation

  • Lina He & Hairui Zhou, 2017. "Robust Lyapunov–Krasovskii based design for explicit control protocol against heterogeneous delays," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 66(3), pages 377-392, November.
  • Handle: RePEc:spr:telsys:v:66:y:2017:i:3:d:10.1007_s11235-017-0290-7
    DOI: 10.1007/s11235-017-0290-7
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    References listed on IDEAS

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    1. Lukasz Chrost & Andrzej Chydzinski, 2016. "On the deterministic approach to active queue management," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 63(1), pages 27-44, September.
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    Cited by:

    1. Ghasem Kahe & Amir Hossein Jahangir, 2019. "A self-tuning controller for queuing delay regulation in TCP/AQM networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 71(2), pages 215-229, June.

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