Integral sliding mode controller design for congestion problem in ATM networks

Abstract

A new integral sliding mode control strategy for high-speed networks operating in asynchronous transfer mode (ATM) is derived to cope with the congestion problem in network flow control. The novelty of the proposed design solution stem from allowing high-speed networks to have simultaneously acting multiple time-varying input delays, uncertainties and time-varying perturbations. A delay-dependent condition is derived via the linear matrix inequality approach that guarantees both the asymptotic stability and a prescribed H _∞-performance level of the closed-loop system in sliding mode dynamics when perturbations of available bit-rate bandwidth occur. These new results are obtained with no restriction on the derivative of the time-varying delays hence are less conservative than the existing ones. This control scheme does achieve both of the main goals in ATM network traffic, namely convergence of the queue length to the desired steady-state status and the weighted fairness condition. The application to benchmark bottleneck example and the simulation results demonstrate the applicability, efficiency and robustness of the proposed synthesis method.

Keywords:

• ATM networks
• congestion control
• integral sliding mode control
• H _∞ controller design
• multiple time-varying delays

Acknowledgements

This research is supported in part by the National Natural Science Foundation of China (grant 61104074), the Fundamental Research Funds for the Central Universities (grants N110417005, N100317002, N110617001, N110417004), China Postdoctoral Science Foundation (grant 20100471462), the Scientific Research Foundation for Doctor of Liaoning Province of China (grant 20101032, 20111001, 20121001, 201202076), the 2011 Plan Project of Shenyang City (grant F11-264-1-63) and also by Dogus University Fund for Science.