Skip to main content
SpringerLink
Log in

Self-tuning Optimal PI Rate Controller for End-to-End Congestion With LQR Approach

  • Conference paper
Managing Traffic Performance in Converged Networks (ITC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 4516))

Included in the following conference series:

Abstract

This paper presents a self-tuning optimal PI (Proportional-Integral) rate controller for end-to-end congestion in the IP-based Internet. We employ LQR (Linear Quadratic Regulator) approach from modern control theory in the optimal controller design that would allow the user to achieve good transient performance of IP networks by selecting proper positive definite matrices Q and R. Self-tuning PI rate controller self-tunes only when the changes in network traffic have drifted the network monitoring parameter outside its specified interval. The PI rate controller is located in each router and can calculate a desirable advertised source window size (i.e. source sending rate) based on the instantaneous queue length of the buffer. Our OPNET simulations demonstrate that our network traffic control algorithm can provide the network with a good transient behavior in AQM and flow throughput.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Floyd, S., Fall, K.: Promoting the Use of End-to-End Congestion Control in the Internet. IEEE/ACM Transactions on Networking 7(4), 458–472 (1999)

    Article  Google Scholar 

  2. Rahbar, A.G.P., Yang, O.: Integrated TDM Single-Hop Slotted All-Optical OPS Networks. In: Proceedings of IEEE 21st International Conference on Advanced Information Networking and Applications, Niagara Falls, Canada (2007)

    Google Scholar 

  3. Floyd, S., Jacobson, V.: Random Early Detection Gateways for Congestion Avoidance. IEEE/ACM Transactions on Networking 1(4), 397–413 (1993)

    Article  Google Scholar 

  4. Hollot, C.V., Misra, V., Towsley, D., Gong, W.-B.: On Designing Improved Controllers for AQM Routers Supporting TCP Flows. In: Proceedings of IEEE INFOCOM, pp. 1726–1734. IEEE Computer Society Press, Los Alamitos (2001)

    Google Scholar 

  5. Hong, Y., Yang, O.W.W., Huang, C.: Self-Tuning PI TCP Flow Controller for AQM Routers With Interval Gain and Phase Margin Assignment. In: Proceedings of IEEE Globecom, Dallas, TX, U.S.A., pp. 1324–1328. IEEE Computer Society Press, Los Alamitos (2004)

    Google Scholar 

  6. Stevens, W.R.: TCP/IP Illustrated, vol. 1. Addison-Wesley, Boston (1994)

    MATH  Google Scholar 

  7. Katabi, D., Handley, M., Rohrs, C.: Congestion Control for High Bandwidth Delay Product Networks. In: Proceedings of ACM SIGCOMM, ACM Press, New York (2002)

    Google Scholar 

  8. Low, S., Paganini, F., Wang, J., Adlakha, S., Doyle, J.C.: Dynamics of TCP/RED and a Scalable Control. In: Proceedings of IEEE INFOCOM, pp. 239–248. IEEE Computer Society Press, Los Alamitos (2002)

    Google Scholar 

  9. Huang, C., Xu, L.H.: SRC: Stable Rate Control for Streaming Media. In: Proceedings of IEEE Globecom, San Francisco, U.S.A., IEEE Computer Society Press, Los Alamitos (2003)

    Google Scholar 

  10. Hanley, M., Floyd, S., Padhye, J., Widmer, J.: TCP Friendly Rate Control (TFRC): Protocol Specification, RFC 3448, Proposed Standard (2003)

    Google Scholar 

  11. Zhang, H.Y., Yang, O.W.W., Mouftah, H.: Design of robust congestion controllers for ATM networks. In: Proceedings of IEEE INFOCOM, pp. 302–309. IEEE Computer Society Press, Los Alamitos (1997)

    Chapter  Google Scholar 

  12. Blanchini, F., Lo Cigno, R., Tempo, R.: Robust Rate Control for Integrated Services Packet Networks. IEEE/ACM Transactions on Networking 10(5), 644–652 (2002)

    Article  Google Scholar 

  13. Floyd, S., Hanley, M., Padhye, J., Widmer, J.: Equation-Based Congestion Control for Unicast Applications. In: Proceedings of ACM SIGCOMM, pp. 43–56. ACM Press, New York (2000)

    Google Scholar 

  14. Xia, Y., Subramanian, L., Stoica, I., Kalyanaraman, S.: One more bit is enough. In: Proceedings of ACM SIGCOMM, ACM Press, New York (2005)

    Google Scholar 

  15. Karandikar, S., Kalyanaraman, S., Bagal, P., Packer, B.: TCP Rate Control. ACM Computer Communications Review 30(1), 45–58 (2000)

    Article  Google Scholar 

  16. Zhang, H.Y., Cong, J., Yang, O.W.W.: Rate Control Over RED With Data Loss and Varying Delays. In: Proceedings of IEEE Globecom, pp. 3035–3040. IEEE Computer Society Press, Los Alamitos (2003)

    Google Scholar 

  17. Zhang, Y., Ahmed, M.: A control theoretic analysis of XCP. In: Proceedings of IEEE INFOCOM, pp. 2831–2835. IEEE Computer Society Press, Los Alamitos (2005)

    Google Scholar 

  18. Low, S.H., Andrew, L.L.H., Wydrowski, B.P.: Understanding XCP: equilibrium and fairness. In: Proceedings of IEEE INFOCOM, IEEE Computer Society Press, Los Alamitos (2005)

    Google Scholar 

  19. Ogata, K.: Modern Control Engineering, 4th edn. Prentice Hall, New Jersey (2002)

    Google Scholar 

  20. Astrom, K.J., Wittenmark, B.: Adaptive Control, 2nd edn. Addison-Wesley Publication Co, Boston (1995)

    Google Scholar 

  21. Astrom, K.J., Hagglund, T.: PID Controllers: Theory, Design, and Tuning, Instrument Society of America, 2nd edn., North Carolina (1995)

    Google Scholar 

  22. Astrom, K.J., Hang, C.C., Persson, P., Ho, W.K.: Towards intelligent PID control. Automatica 28(1), 1–9 (1992)

    Article  Google Scholar 

  23. Ho, W.K., Hong, Y., Hansson, A., Hjalmarsson, H., Deng, J.W.: Relay Auto-Tuning of PID Controllers using Iterative Feedback Tuning. Automatica 39(1), 149–157 (2003)

    Article  MATH  Google Scholar 

  24. He, J.B., Wang, Q.G., Lee, T.H.: PI/PID Controller Tuning Via LQR Approach. Chemical Engineering Science 55(13), 2429–2439 (2000)

    Article  Google Scholar 

  25. Marshall, J.E.: Control of time-delay systems. Peter Peregrinus, London (1979)

    MATH  Google Scholar 

  26. Hong, Y., Yang, O.W.W.: Self-Tuning Optimal PI Rate Controller for End-to-End Congestion With LQR Approach. CCNR Technical Report 06-0601, University of Ottawa, Canada, Available upon request (2006)

    Google Scholar 

  27. Astrom, K.J., Goodwin, G.C., Kumar, P.R. (eds.): Adaptive Control, Filtering, and Signal Processing. The IMA Volumes in Mathematics and its Applications, vol. 74. Springer, Heidelberg (1995)

    Google Scholar 

  28. Astrom, K.J., Hagglund, T., Hang, C.C., Ho, W.K.: Automatic Tuning and Adaptation for PID Controllers-A Survey. IFAC Journal of Control Engineering Practice 1(4) (1993)

    Google Scholar 

  29. Ho, W.K., Lee, T.H., Han, H.P., Hong, Y.: Self-Tuning IMC-PID Control with Interval Gain and Phase Margin Assignment. IEEE Transactions on Control Systems Technology 9(3), 535–541 (2001)

    Article  Google Scholar 

  30. Hong, Y., Yang, O.W.W.: Design of Adaptive PI Rate Controller for Best-Effort Traffic in the Internet Based on Phase Margin. IEEE Transactions on Parallel and Distributed Systems 18(4), 550–561 (2007)

    Article  Google Scholar 

  31. OPNET Technologies Inc, OPNET Modeler Manuals, OPNET Version 7.0 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CCNR Lab, SITE, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada

    Yang Hong & Oliver W. W. Yang

Authors
  1. Yang Hong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Oliver W. W. Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Lorne Mason Tadeusz Drwiega James Yan

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hong, Y., Yang, O.W.W. (2007). Self-tuning Optimal PI Rate Controller for End-to-End Congestion With LQR Approach. In: Mason, L., Drwiega, T., Yan, J. (eds) Managing Traffic Performance in Converged Networks. ITC 2007. Lecture Notes in Computer Science, vol 4516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72990-7_72

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72990-7_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72989-1

  • Online ISBN: 978-3-540-72990-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation