This paper proposes the control scheme of an original drive which is made up of two 5-phase Permanent Magnet Synchronous Machines (PMSM) connected in series. Even if the Electro-Motive Force (EMF) are trapezoidal, it is possible, by using a special series connection between the two machines and by implementing a special vector control, to impose independent torques and speeds with a single five-leg Voltage Source Inverter (VSI). This configuration allows an independent control of two PM machines and needs only five legs instead of six-legs for a classical solution using two independent three phase inverters supplying two three-phase machines. If special series-connection with classical vector control is sufficient to achieve flux/torque decoupling when the EMFs are sinusoidal, it is necessary to modify the control scheme when the EMFs are not sinusoidal.Simulations and experimental results demonstrate efficiency of the independent control of the two 5-phase synchronous machines connected in series, and the efficiency of the improved control for different loads.