Sliding mode congestion control algorithm for a class of large-scale networks based on T-S model

This paper is concerned with the sliding mode control for a class of large-scale networks based on a fluid flow model. The nonlinear system dynamic model is represented by a T-S fuzzy model. Sliding mode control approach is employed to guarantee robust stabilization of linear uncertain systems. The stable sliding surface is designed by using linear matrix inequalities (LMI) to reduce the influence of mismatched uncertainties. The sufficient condition for the existence of stable sliding surface is derived in terms of LMI. And the design of sliding mode control law is given too. At last, the simulation results show the effectiveness and feasibilities of the proposed method.

[1]  Andreas Pitsillides,et al.  Adaptive nonlinear congestion controller for a differentiated-services framework , 2005, IEEE/ACM Transactions on Networking.

[2]  Frank Kelly,et al.  Charging and rate control for elastic traffic , 1997, Eur. Trans. Telecommun..

[3]  S. Sharma,et al.  Approximate models for the study of nonstationary queues and their applications to communication networks , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

[4]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[5]  C. E. Agnew,et al.  Dynamic Modeling and Control of Congestion-Prone Systems , 1976, Oper. Res..

[6]  H. Mounier,et al.  Using token leaky buckets for congestion feedback control in packets switched networks with guaranteed boundedness of buffer queues , 2003, 2003 European Control Conference (ECC).

[7]  Chang-Hua Lien,et al.  An efficient method to design robust observer-based control of uncertain linear systems , 2004, Appl. Math. Comput..

[8]  V. Utkin Variable structure systems with sliding modes , 1977 .

[9]  Tansu Alpcan,et al.  A globally stable adaptive congestion control scheme for Internet-style networks with delay , 2005, IEEE/ACM Transactions on Networking.

[10]  Malur K. Sundareshan,et al.  Modeling of computer networks for performance evaluation and control under nonstationary conditions , 1989, IEEE INFOCOM '89, Proceedings of the Eighth Annual Joint Conference of the IEEE Computer and Communications Societies.

[11]  Jin Bae Park,et al.  Robust fuzzy control of nonlinear systems with parametric uncertainties , 2001, IEEE Trans. Fuzzy Syst..