During the in vitro maturation process of tissue engineered heart valves in a bioreactor, the pressures ahead of and behind the heart valve as well as the transvalvular flow rate strongly influence the tissue development. In this paper, a norm-optimal iterative learning control scheme for the control of these three process input variables within a new bioreactor setup is introduced and evaluated using physiological references of an aortic heart valve. A Model-in-the-Loop (MiL) setup is established for this evaluation. The results indicate that the proposed scheme yields good tracking performance for all three controlled variables: The stationary root-mean-square errors (RMSEs) of the aortic and left ventricular pressures are, respectively, 0.9 mmHg and 4.8 mmHg (pressure range: 0 - 120 mmHg). The RMSE of the transvalvular flow rate equals to 12.3 ml s-1 (flow rate range: 0 - 500 ml s-1). Consequently, the proposed scheme is suitable for the introduced task and can therefore be investigated further.