Stable parameter settings for PI router mixing TCP and UDP traffic

Research reveals that the fluid-based model can describe the dynamic behavior for bottleneck networks. The stability of the fluid-model can inflect whether there is a congestion of the network. A fluid-based model combined TCP and UDP under PI mechanism has been presented in this paper. We linearized the fluid-model equation and educe two propositions. Based on the fluid model, we linearized this model and added the feedback control mechanism that is introduced by PI, and educed two propositions. Based on two propositions, we can present design guidelines for choosing network parameters that lead to stable operation of the linear feedback control system. We also performed simulations using Matlab and NS2, and the results show that our analysis is suitable.