Reaching law‐based sliding mode congestion control for communication networks

Abstract

In this study, a new reaching law for sliding mode control of discrete time systems is proposed and applied to solve the problem of congestion avoidance in multi-source, connection oriented data transmission networks. Since the proposed reaching law does not require switching of the sliding variable between positive and negative values in each successive control step, it leads to chattering free operation, does not cause overshoots and helps achieve 100% exploitation of the bottleneck link available bandwidth. Furthermore, the proposed controller always generates bounded data transmission rates. The rates are limited by design parameters and they do not depend on the network initial conditions. The properties of the proposed controller are stated as three theorems, formally proved and verified in a simulation example.

Sliding Mode Congestion Controller for Data Transmission Networks with Unknown and Variable Packet Loss Rates

“…Therefore, implication (30) holds for the selected k. Since k was chosen arbitrarily, one can conclude that (30) is always true. Moreover, since s(0) > -q, the principle of strong mathematical induction gives s(kT) ≥ -q for any k.…”

“…Baburaj and Bandyopadhyay further proposed a simplified approach based on deriving a first order model of the network and applying a method based on equivalent sliding mode control [46]. An extensive review of congestion control techniques can be found in [30].…”

“…The main contribution of such an approach is providing good robustness with respect to unpredictable bit rate variations and packet losses, while ensuring a computationally efficient controller operation. In contrast to a similar approach proposed in [30], the method introduced in this paper does not require the packet losses to be a priori known or constant. The networks considered in this work consist of several data sources and a common bottleneck link.…”

The problem of state constraints in designing the discrete time sliding mode controller

“…Originally, the reaching law method was introduced for continuous time systems [19], and then developed for discrete time ones [20]. Recently, a large number of new reaching laws were presented [21][22][23][24][25][26][27][28][29][30].…”

“…the representative point cannot move precisely along the sliding hyperplane, but it can stay in a certain neighborhood of that hyperplane. In this paper we define the quasi-sliding mode [24,31,32], i.e. we do not require crossing the sliding hyperplane in each consecutive step.…”