TCP Congestion Control for the Networks with Markovian Jump Parameters

Abstract

This paper is concerned with the problem of TCP congestion control for the class of communication networks with random parameters. The linear dynamic model of TCP New Reno in congestion avoidance mode is considered which contains round trip delays in both state and input. The randomness of link capacity, round trip time delay and the number of TCP sessions is modeled with a continuous-time finite state Markov process. An Active Queue Management (AQM) technique is then used to adjust the queue level of the congested link to a predefined value. For this purpose, a dynamic output feedback controller with mode dependent parameters is synthesized to stochastically stabilize the TCP/AQM dynamics. The procedure of the control synthesis is implemented by solving a linear matrix inequality (LMI). The results are tested within a simulation example and the effectiveness of the proposed design method is verified.

Keywords

• communication system traffic control
• delay systems
• linear matrix inequalities
• Markov processes
• random variables