For the Asynchronous Transfer Mode(ATM)networks with time-varying multiple time-delays.a more realistic model for the available bit rate(ABR)traffic class with explicit rate feedback is introduced.A fuzzy-immune con.troller is designed,which can adjust the rates of ABR on-line,overcome the bad effect caused by the saturation nonlinearitv and satisfy the weighted fairness.Also,the sufficient condition that guarantees the stability of the closed-loop system with a fuzzyimmune controller is presented in theory for the first time.The algorithm exhibits good performance,and most importantly,has a solid theoretical foundation and can be implemented in practice easily.Simulation results show that the control system is rapid,adaptive,robust,and meanwhile,the quality of service(QoS)is guaranteed.