Abstract
In this paper we propose a discrete time sliding mode congestion controller for a single virtual circuit in connection-oriented communication networks. The circuit is characterized by the non-negligible propagation delay, the maximum link capacity and unknown, time-varying data loss rate. The proposed controller generates non-negative and limited transmission rates, ensures upper bounded queue length in the bottleneck link buffer and may guarantee full utilization of the link capacity. In order to ensure fast reaction to the unpredictable data loss and unknown changes of the available bandwidth, the controller employs the dead-beat sliding hyperplane. However, straightforward application of the dead-beat paradigm could lead to unacceptably big transmission rates. Therefore, the controller is designed using the concept of the reaching law, which helps to attenuate the excessive magnitude of control signal at the beginning of the transmission process.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bartoszewicz, A.: Nonlinear flow control strategies for connection oriented communication networks. Proc. IEE Part D Control Theory Appl. 153(1), 21–28 (2006)
Bartoszewicz, A., Lesniewski, P.: A new reaching law based sliding mode flow controller for connection-oriented data transmission networks. In: 13th International Workshop on Variable Structure Systems, Nantes (2014)
Gao, W., Wang, Y., Homaifa, A.: Discrete-time variable structure control systems. IEEE Trans. Ind. Electron. 42(2), 117–122 (1995)
Jagannathan, S., Talluri, J.: Predictive congestion control of ATM networks: multiple sources/single buffer scenario. Automatica 38(5), 815–820 (2002)
Jing, Y., Yu, N., Kong, Z., Dimirovski, G.: Active queue management algorithm based on fuzzy sliding model controller. In: Proceedings of the 17th IFAC World Congress, Seoul, pp. 6148–6153 (2008)
Laberteaux, K., Rohrs, C., Antsaklis, P.: A practical controller for explicit rate congestion control. IEEE Trans. Autom. Control 47(6), 960–978 (2002)
Quet, P., Ataslar, B., Iftar, A., Ozbay, H., Kalyanaraman, S., Kang, T.: Rate-based flow controllers for communication networks in the presence of uncertain time-varying multiple time-delays. Automatica 38(6), 917–928 (2002)
Acknowledgements
This work has been performed in the framework of a project “Optimal sliding mode control of time delay systems” financed by the National Science Centre of Poland decision number DEC 2011/01/B/ST7/02582. Kind support provided by the Foundation for Polish Science under Mistrz grant is also acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this paper
Cite this paper
Lesniewski, P., Bartoszewicz, A. (2016). Sliding Mode Data Flow Regulation for Connection-Oriented Networks with Unpredictable Packet Loss Ratio. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_93
Download citation
DOI: https://doi.org/10.1007/978-3-319-23413-7_93
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23412-0
Online ISBN: 978-3-319-23413-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)