This paper deals with the problem of feedback control for Active Queue Management (AQM) system with successive delays. Mathematical models for both single and multi-bottleneck topology of TCP/AQM process are studied. The multiple delays are introduced in Transmission Control Protocol (TCP) models for the first time. An implementation is proposed to improve the buffer management. Sufficient conditions for existence of an admissible controller are established to ensure the asymptotic stabilization of the resulting closed-loop system. Finally, a numerical example is given to illustrate the advantages of the proposed Laxus Feedback Controller (LFC) with respect to some literature results.