An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

Andrzej Bartoszewicz; Piotr Leśniewski

doi:10.2478/amcs-2014-0007

Abstract

A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output) errors are incorporated in both the functionals. The asymptotic stability of the closed-loop system is proved, and the conditions for 100% bottleneck node bandwidth utilization are derived. The performance of the proposed algorithm is verified by computer simulations.

References

Bartoszewicz, A. (2006). Nonlinear flow control strategies for connection-oriented communication networks, IEE Proceedingson Control Theory and Applications (Part D)153(1): 21-28.10.1049/ip-cta:20045247
Search in Google Scholar
Bartoszewicz, A. and Zuk, J. (2009). Discrete time sliding mode flow controller for multi-source single-bottleneck connection-oriented communication networks, Journal ofVibration and Control 15(11): 1745-1760.10.1177/1077546309102676
Search in Google Scholar
Drazenovic, B. (1969). The invariance conditions in variable structure systems, Automatica 5(3): 287-295.10.1016/0005-1098(69)90071-5
Search in Google Scholar
Edwards, C., Alwi, H. and Tan, C.P. (2012). Sliding mode methods for fault detection and fault tolerant control with application to aerospace systems, International Journal of AppliedMathematics and Computer Science 22(1): 109-124, DOI: 10.2478/v10006-012-0008-7.10.2478/v10006-012-0008-7
Search in Google Scholar
Edwards, C. and Spurgeon, S. (1994). On the development of discontinuous observers, International Journal of Control59(4): 1211-1229.10.1080/00207179408923128
Search in Google Scholar
Emelyanov, S.V. (1967). Variable Structure Control System, Nauka, Moscow.
Search in Google Scholar
Floquet, T., Edwards, C. and Spurgeon, S. (2007). On sliding mode observers for systems with unknown inputs, InternationalJournal of Adaptive Control and Signal Processing21(8-9): 638-656.10.1002/acs.958
Search in Google Scholar
Fridman, L., Levant, A. and Davila, J. (2007). Observation of linear systems with unknown inputs via high-order sliding-modes, International Journal of Systems Science38(10): 773-791.10.1080/00207720701409538
Search in Google Scholar
Gao, W., Wang, Y. and Homaifa, A. (1995). Discrete-time variable structure control systems, IEEE Transactions on IndustrialElectronics 42(2): 117-122.10.1109/41.370376
Search in Google Scholar
Haskara, I., Ozguner, U. and Utkin, V. (1998). On sliding mode observers via equivalent control approach, InternationalJournal of Control 71(6): 1051-1067.10.1080/002071798221470
Search in Google Scholar
Hung, J.Y., Gao, W. and Hung, J.C. (1993). Variable structure control: A survey, IEEE Transactions on Industrial Electronics40(1): 2-22.10.1109/41.184817
Search in Google Scholar
Ignaciuk, P. and Bartoszewicz, A. (2008). Linear quadratic optimal discrete-time sliding-mode controller for connectionoriented communication networks, IEEE Transactions onIndustrial Electronics 55(11): 4013-4021.10.1109/TIE.2008.921464
Search in Google Scholar
Ignaciuk, P. and Bartoszewicz, A. (2009). Linear quadratic optimal sliding mode flow control for connection-oriented communication networks, International Journal of Robustand Nonlinear Control 19(4): 442-461.10.1002/rnc.1327
Search in Google Scholar
Ignaciuk, P. and Bartoszewicz, A. (2011). Discrete-time slidingmode congestion control in multisource communication networks with time-varying delay, IEEE Transactions onControl Systems Technology 19(4): 852-867.10.1109/TCST.2010.2056690
Search in Google Scholar
Ignaciuk, P. and Bartoszewicz, A. (2013). Congestion Controlin Data Transmission Networks: Sliding Mode and OtherDesigns, Springer-Verlag, London.10.1007/978-1-4471-4147-1
Search in Google Scholar
Jin, J., Wang, W. and Palaniswami, M. (2009). A simple framework of utility max-min flow control using sliding mode approach, IEEE Communications Letters 13(5): 360-362.10.1109/LCOMM.2009.090090
Search in Google Scholar
Jing, Y., He, L., Dimirovski, G. and Zhu, H. (2007). Robust stabilization of state and input delay for active queue management algorithm, Proceedings of the American ControlConference, New York, NY, USA, pp. 3083-3087.
Search in Google Scholar
Jing, Y., Yu, N., Kong, Z. and Dimirovski, G. (2008). Active queue management algorithm based on fuzzy sliding model controller, Proceedings of the 17th IFAC WorldCongress, Seoul, Korea, pp. 6148-6153.
Search in Google Scholar
Kwakernaak, H. and Sivan, R. (1972). Linear Optimal ControlSystems, Wiley-Interscience, New York, NY.
Search in Google Scholar
Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control, International Journal of Control58(6): 1247-1263.10.1080/00207179308923053
Search in Google Scholar
Mnasri, C. and Gasmi, M. (2011). LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems, International Journal of Applied Mathematics andComputer Science 21(4): 605-615, DOI: 10.2478/v10006-011-0047-5.10.2478/v10006-011-0047-5
Search in Google Scholar
Pietrabissa, A., Priscoli, F. D., Fiaschetti, A. and Paolo, F. D. (2006). A robust adaptive congestion control for communication networks with time varying delays, Proceedingsof the IEEE International Conference on Control Applications,Munich, Germany, pp. 2093-2098.
Search in Google Scholar
Sira-Ramirez, H. (1993). On the dynamical sliding mode control of nonlinear systems, International Journal of Control57(5): 1039-1061.10.1080/00207179308934429
Search in Google Scholar
Tomera, M. (2010). Nonlinear controller design of a ship autopilot, International Journal of Applied Mathematics andComputer Science 20(2): 271-280, DOI: 10.2478/v10006-010-0020-8.10.2478/v10006-010-0020-8
Search in Google Scholar
Utkin, V. (1977). Variable structure systems with sliding modes, IEEE Transactions on Automatic Control 22(2): 212-222.10.1109/TAC.1977.1101446
Search in Google Scholar
Utkin, V. and Shi, J. (1996). Integral sliding mode in systems operating under uncertainty conditions, 35th IEEE Conferenceon Decision and Control, Kobe, Japan, pp. 4591-4596.
Search in Google Scholar
Veluvolu, K.C. and Soh, Y.C. (2009). Discrete-time slidingmode state and unknown input estimations for nonlinear systems, IEEE Transactions on Industrial Electronics56(9): 3443-3345.10.1109/TIE.2008.2007035
Search in Google Scholar
Yan, M., Kolemisevska-Gugulovska, T., Jing, Y. and Dimirovski, G. (2007). Robust discrete-time sliding-mode control algorithm for TCP networks congestion control, Proceedings of TELSIKS, Niˇs, Serbia, pp. 393-396.
Search in Google Scholar
Yang, M., Jing, Y., Dimirovski, G. and Zhang, N. (2007). Stability and performance analysis of a congestion control algorithm for networks, Proceedings of the 46th IEEE Conferenceon Decision and Control, New Orleans, LA, USA, pp. 4453-4458.
Search in Google Scholar
Zhang, N., Yang, M., Jing, Y. and Zhang, S. (2009). Congestion control for DiffServ network using second-order sliding mode control, IEEE Transactions on Industrial Electronics56(9): 3330-3336.10.1109/TIE.2009.2018437
Search in Google Scholar
Zheng, X., Zhang, N., Dimirovski, G. and Jing, Y. (2008). Adaptive sliding mode congestion control for DiffServ network, Proceedings of the 17th IFAC World Congress, Seoul, Korea, pp. 12983-12987.
Search in Google Scholar

An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

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