Skip to main content
SpringerLink
Log in

Binary ABR flow control over ATM networks with uncertainty using discrete-time variable structure controller

  • Published:
Journal of Control Theory and Applications Aims and scope Submit manuscript

Abstract

A binary available bit rate (ABR) scheme based on discrete-time variable structure control (DVSC) theory is proposed to solve the problem of asynchronous transfer mode (ATM) networks congestion in this paper. A discrete-time system model with uncertainty is introduced to depict the time-varying ATM networks. Based on the system model, an asymptotically stable sliding surface is designed by linear matrix inequality (LMI). In addition, a novel discrete-time reaching law that can obviously reduce chatter is also put forward. The proposed discrete-time variable structure controller can effectively constrain the oscillation of allowed cell rate (ACR) and the queue length in a router. Moreover, the controller is self-adaptive against the uncertainty in the system. Simulations are done in different scenarios. The results demonstrate that the controller has better stability and robustness than the traditional binary flow controller, so it is good for adequately exerting the simplicity of binary flow control mechanisms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ATM forum technical committee TMWG[S]. ATM Forum Traffic Management Specification Version 4.0. af-tm-0056.000, 1996.

  2. M. L. Sichitiu, P. H. Bauer, K. Premaratne. The effect of uncertain time-variant delays in ATM networks with explicit rate feedback: a control theoretic approach[J]. IEEE/ACM Transactions on Networking, 2003, 11(4): 628–637.

    Article  Google Scholar 

  3. M. L. Sichitiu, P. H. Bauer. Asymptotic stability of congestion control systems with multiple sources[J]. IEEE Transaction on Automatic Control, 2006, 51(2): 292–298.

    Article  MathSciNet  Google Scholar 

  4. F. Ren, C. Lin, Y. Ren, et al. Performance analysis of the binary flow control algorithm[J]. Journal of Software, 2003, 14(3): 612–618 (in Chinese).

    Google Scholar 

  5. F. Ren, Y. Ren, X. Shan, et al. Analysis and improvement of the EFCI algorithm[C]//Proceedings of the 6th IEEE Symposium on Computer and Communications. Los Alamitos, California: IEEE Computer Society, 2001: 255–259.

    Google Scholar 

  6. F. Ren, Y. Ren, X. Shan, et al. Modeling and analysis of binary ABR flow control[J]. Chinese Journal of Computers, 2002, 25(6): 651–656 (in Chinese).

    Google Scholar 

  7. W. Gao. Variable structure control of discrete-time systems[J]. Acta Automatica Sinica, 1995, 21(2): 154–161 (in Chinese).

    MATH  Google Scholar 

  8. Q. Yao, L. Song, H. Wen. Proportional-constant-variable rate control for discrete-time variable structure systems[J]. Control and Decision, 2000, 15(3): 329–332 (in Chinese).

    Google Scholar 

  9. F. Ren, C. Lin, F. Wang. Variable structure controller for ABR flow control[J]. Journal of Software, 2003, 14(3): 562–568 (in Chinese).

    Google Scholar 

  10. L. Xie, L. Lu, D. Zhang. Improved robust H2 and H∞ filtering for uncertain discrete-time systems[J]. Automatica, 2004, 40(5): 873–880.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang Liaoning, 110004, China

    Ming Yan & Yuanwei Jing

Authors
  1. Ming Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuanwei Jing
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ming Yan.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60274009) and Specialized Research Fund for the Doctoral Program of Higher Education (No.20020145007).

Ming YAN received the B.S. and M.S. degrees from Northeastern University in 1997 and 2003, respectively. He is currently a Ph.D. candidate of School of Information Science and Engineering, Northeastern University. His research interests include network congestion control and variable structure control.

Yuanwei JING was born in 1956, in Shenyang, China. He currently works at Northeastern University as a professor and supervisor of Ph.D. candidates. He received his B.S. degree from Liaoning University in Mathematics Department in 1981. He also received the M.S. and Ph.D. degrees in Automatic Control Department of Northeastern University in 1984 and 1988 respectively. As a Post-doctor fellow, he did research in Faculty of Electrical Engineer of Saint Cyril and Saint Methodius University in 1996. From 1998 to 1999, he was a senior visiting scholar in Faculty of Computer Science Telecommunication of Missouri-Kansas City University. His research interests include complex systems, telecommunication control etc.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yan, M., Jing, Y. Binary ABR flow control over ATM networks with uncertainty using discrete-time variable structure controller. J. Control Theory Appl. 6, 16–21 (2008). https://doi.org/10.1007/s11768-008-7185-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-008-7185-9

Keywords

Search

Navigation