We propose a controller tuning method basedon the data-driven model reduction by moment matchingtheory. By selecting a reference closed-loop transfer function,a moment matching data-driven model reduction algorithm isused to synthesize a fixed-order controller, via the identificationof a model of the inverse transfer function of the controller,i.e.the transfer function from the controlled input of thesystem to the mismatch error signal. The controller is finallyobtained by inverting this transfer function. The fixed-ordercontroller is guaranteed to match the steady-state behaviorof the ideal controller at certain pre-selected frequencies. Theeffectiveness of the resulting design method is assessed on acontrol problem for the48-th order model of the Los AngelesUniversity Hospital building.