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Fractional order PI controllers for TCP packet flow ensuring given modulus margins

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An Active Queue Management (AQM) robust control strategy for Traffic Control Protocol (TCP) data transfer is proposed. To this purpose, the TCP behaviour is first approximated by a second–order model with delayed input obtained from the linearization of an efficient and commonly used nonlinear fluid–based model. The adopted feedback control structure uses a fractional– order PI controller. To ensure the desired robustness, the parameter regions where such a controller guarantees a given modulus margin (inverse of the H1 norm of the sensitivity function) are derived. An example commonly used in the literature is worked out to show that the suggested graphically–based design technique is simple to apply while it limits the effects of disturbances and of the unmodelled dynamics.
Rocznik
Strony
493--505
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
  • Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
autor
  • Department of Electrical Management and Mechanical Engineering, University of Udine, via delle Scienze 206, 33100 Udine, Italy
Bibliografia
  • 1. Chao, H., Luo, Y., Di, L., and Chen, Y.Q. (2009) Fractional order flight control of a small fixed–wing UAV: Controller design and simulation study. In: Proc. ASME 2009 Int. Design Engineering Tech. Conferences and Computers and Information in Engineering Conference, San Diego, CA, USA, Aug. 30 – Sept. 2, 2009, ASME, 621–628.
  • 2. Chatranon, G., Labrador, M.A., and Banerjee, S. (2004) A survey of TCP–friendly router–based AQM schemes. Computer Communications, 27, 15, Elsevier, 1424–1440.
  • 3. Chen, Y.K., Petr´aˇs, I., and Xue, D. (2009) Fractional order control – A tutorial. In: Proceedings of American Control Conference, St. Louis, MI, USA, June 10–12, 2009, IEEE Inc., 1397–1411.
  • 4. Floyd, S. and Jacobson, V. (1993) Random early detection gateways for congestion avoidance. IEEE/ACM Trans. Networking, 1, 4, IEEE Press, 397–413.
  • 5. Forouzan, B.A. (2010) TCP/IP Protocol Suite. McGraw-Hill Higher Education, Boston, MA, USA (4th edition).
  • 6. Garcia, D., Karimi, A., and Longchamp, R. (2004) Robust PID controller tuning with specification on modulus margin. In: Proc. American Control Conf., Boston, MA, USA, 4, June 30 – July 2, 2004. IEEE Inc., 3297–3302.
  • 7. Hamamci, S. E. (2007) An algorithm for stabilization of fractional–order time delay systems using fractio-nal–order PID controllers. IEEE Trans. Au- tomat. Contr., 52, 10, 1964–1969.
  • 8. Hamamci, S. E. and Koksal, M. (2010) Calculation of all stabilizing fractional– order PD controllers for integrating time delay systems. In: Com- puters and Mathematics with Applications, 59, 5, 1621–1629.
  • 9. Hollot, C.V., Misra, V., Towsley, D., and Gong, W.B. (2001) A control theoretic analysis of RED. In: Proc. IEEE INFOCOM, Anchorage, AK, USA, April 22–26. IEEE, 3, 1510–1519.
  • 10. Hollot, C.V., Misra, V., Towsley, D., and Gong, W.B. (2002) Analysis and design of controllers for AQM routers supporting TCP flows. IEEE Trans. Automat. Contr., 47, 6, 945–959.
  • 11. Klamka, J. and Ta´ncula, J. (2010) Examination of robust stability of computer networks. In: Proc. 6-th Int. Working Conf. Performance Modeling and Evaluation of Heterogeneous Networks, Zakopane, Poland, Jan. 14–16, 2010, Inst. Theoretical and Appl. Informatics, Pol. Acad. Sci., 75–88.
  • 12. Klamka, J. and Ta´ncula, J. (2012a) Analiza D-stabilno´sci protoko lu TCPDCR. Studia Informatica, 33, 3A (107), 7–18.
  • 13. Klamka, J. and Ta´ncula, J. (2012b) Examination of robust D-stability of TCP-DCR. Theoretical and Applied Informatics, 24, 4, 327-344.
  • 14. Krajewski, W., Lepschy, A. and Viaro, U. (2004) Designing PI controllers for robust stability and performance. IEEE Trans. Control Syst. Technol., 12, 6, 973–983.
  • 15. Krajewski, W., Lepschy, A., Miani, S. and Viaro, U. (2005) Frequency– domain approach to robust PI control. J. Franklin Inst., 342, 6, 674–687.
  • 16. Krajewski, W. and Viaro, U. (2012) On robust PID control for time– delay plants. In: Proc.17th IEEE Int. Conf. Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, Aug. 27–30, IEEE, 540–545.
  • 17. Low, S.H., Paganini, F. and Doyle, J.C. (2002) Internet congestion control. IEEE Contr. Syst. Mag., 22, 1, 28–43.
  • 18. Luo, Y. and Chen, Y.Q. (2009) Fractional order [proportional derivative] controller for a class of fractional order systems. Automatica, 45, 10, 2446–2450.
  • 19. Misra, V., Gong, W.B., and Towsley, D. (2000) Fluid–based analysis of a network of AQM routers supporting TCP flows with an application to RED. In: Proc. ACM/SIGCOMM, Stockholm, Sweden, Aug. 28 – Sept. 1. ACM Press, 151–160.
  • 20. Petr´aˇs, I. (2009) Stability of fractional–order systems with rational orders: A survey. Fract. Calc. Appl. Anal., 12, 3, 269–298.
  • 21. Podlubny, I. (1999) Fractional–order systems andPIλDμ controllers. IEEE Trans. Automat. Contr., 44, 1, 208–213.
  • 22. Quet, P.F. and ¨ Ozbay, H. (2002) On the design of AQM supporting TCP flows using robust control theory. IEEE Trans. Automat. Contr., 49, 6, 1031–1036.
  • 23. Rahimian, M. A. and Tavazoei, M. S. (2010) Stabilizing fractional–order PI and PD controllers: An integer–order implemented system approach. Proc. of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 224, 8, 893–903.
  • 24. Ruszewski, A. (2008) Stability regions of closed loop system with time delay inertial plant of fractional order and fractional order PI controller. Bull. Polish Acad. Sciences, Tech. Sciences, 56, 4, 329–332.
  • 25. Yanping, Q., Wenkui, H., Xiangze, L., and Bing, W. (2011) Fractional order proportional integral controller for active queue management of wireless network. In: Proc. Chinese Control Conference, Yantai, China, July 22–24, IEEE, 4406–4410.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-aa4a5813-f725-4866-98fe-0164433d3ddb
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