Stable H∞ controller design, for a flow control problem which involves multiple time-delays, is considered. An algorithm, which produces a stable controller apart from the integral action, is developed utilizing a rational approximation of finite-impulse response filters. An example is also presented to show the performance of the stable H∞ flow controller obtained by the proposed approach. This controller robustly stabilizes the system and achieves all design requirements, whereas the H ∞-optimal controller, which is unstable, fails to achieve the same requirements. Copyright © IFAC 2009.