1. A method for open-loop and closed-loop control of an electrical drive, which comprises an asynchronous motor which is supplied by a DC-AC invertor with a downstream sine-wave output filter with an AC voltage at a predetermined circular frequency (.omega.), wherein the voltage at the output of the sine-wave output filter is measured, wherein the measured filter voltage is assigned to a complex filter voltage vector (E) in a complex reference system rotating at the circular frequency (.omega.), wherein the DC-AC invertor is actuated in such a manner that the complex filter voltage vector (E) corresponds to a predetermined required voltage vector (E*), and wherein a complex required flux vector (.PSI.*.sub.v) is produced by means of a proportional control system, which operates in the complex, rotating reference system, and an integrating regulator path from a difference between the required voltage vector (E*) and the complex filter voltage vector (E) for the DC-AC invertor, wherein the DC-AC invertor is actuated in a pulse-duration-modulated manner in accordance with the required flux vector (.PSI.*.sub.v).