Nowadays sensor-less motor control is a hot topic for researchears due to its numerous advantages. The focus of this project is the sensor-less control of a surface mounted PMSM (SMPMSM) for low speed in high dynamic applications. First the literature is searched for a suitable sensor-less control strategy and then the selected strategy is implemented and tested in simulations. The sensor-less control strategy is then validated in the laboratory. For all the simulation $Matlab/Simulink$ and $Plecs$ is used. For the laboratory work a $dSpace$ setup is used. Even if the topic of the project is sensor-less control, simulations and laboratory work is carried out for both sensored and sensor-less control of the SMPMSM in order to compare the results. Moreover the control of the loading machine is realized in order to be able to test the SMPMSM control under loading conditions. The performance of the selected sensor-less control strategy is tested and compared with the sensored control in five different study cases. Promising results are obtained in the laboratory at zero and low speeds. The rotor position estimation error becomes larger as the load torque and speed increases. Good results were obtained at speeds up to $200rpm$.