Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2014 | 43 | nr 4 | 493--505
Tytuł artykułu

Fractional Order PI Controllers for TCP Packet Flow Ensuring Given Modulus Margins

Treść / Zawartość
Warianty tytułu
Języki publikacji
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 H∞ 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. (original abstract)
Słowa kluczowe
Opis fizyczny
  • Systems Research Institute, Polish Academy of Sciences
  • University of Udine, Italy
  • Chao, H., Luo, Y., Di, L., 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.
  • Chatranon, G., Labrador, M.A., Banerjee, S. (2004) A survey of TCP-friendly router-based AQM schemes. Computer Communications, 27, 15, Elsevier, 1424-1440.
  • Chen, Y.K., Petráš, I., 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.
  • Floyd, S., Jacobson, V. (1993) Random early detection gateways for congestion avoidance. IEEE/ACM Trans. Networking, 1, 4, IEEE Press, 397-413.
  • Forouzan, B. A. (2010) TCP/IP Protocol Suite. McGraw-Hill Higher Education, Boston, MA, USA (4th edition).
  • Garcia, D., Karimi, A., 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.
  • 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.
  • Hamamci, S. E., 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.
  • Hollot, C.V., Misra, V., Towsley, D., Gong, W.B. (2001) A control theoretic analysis of RED. In: Proc. IEEE INFOCOM, Anchorage, AK, USA, April 22-26. IEEE, 3, 1510-1519.
  • Hollot, C.V., Misra, V., Towsley, D., Gong, W.B. (2002) Analysis and design of controllers for AQM routers supporting TCP flows. IEEE Trans. Automat. Contr., 47, 6, 945-959.
  • Klamka, J., Táncula, 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.
  • Klamka, J., Táncula, J. (2012a) Analiza D-stabilności protokołu TCPDCR. Studia Informatica, 33, 3A (107), 7-18.
  • Klamka, J., Táncula, J. (2012b) Examination of robust D-stability of TCP-DCR. Theoretical and Applied Informatics, 24, 4, 327-344.
  • Krajewski, W., Lepschy, A., Viaro, U. (2004) Designing PI controllers for robust stability and performance. IEEE Trans. Control Syst. Technol., 12, 6, 973-983.
  • Krajewski, W., Lepschy, A., Miani, S., Viaro, U. (2005) Frequency-domain approach to robust PI control. J. Franklin Inst., 342, 6, 674-687.
  • Krajewski, W., 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.
  • Low, S.H., Paganini, F., Doyle, J.C. (2002) Internet congestion control. IEEE Contr. Syst. Mag., 22, 1, 28-43.
  • Luo, Y., Chen, Y.Q. (2009) Fractional order [proportional derivative] controller for a class of fractional order systems. Automatica, 45, 10, 2446-2450.
  • Misra, V., Gong, W.B., 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.
  • Petráš, I. (2009) Stability of fractional-order systems with rational orders: A survey. Fract. Calc. Appl. Anal., 12, 3, 269-298.
  • Podlubny, I. (1999) Fractional-order systems and PIλDμ controllers. IEEE Trans. Automat. Contr., 44, 1, 208-213.
  • Quet, P.F., Özbay, H. (2002) On the design of AQM supporting TCP flows using robust control theory. IEEE Trans. Automat. Contr., 49, 6, 1031-1036.
  • Rahimian, M. A., 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.
  • 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.
  • Yanping, Q., Wenkui, H., Xiangze, L.,, 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
Identyfikator YADDA

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.