In this paper, the method of moments is presented in order to synthesize controllers for current and speed of a Magnet Permanent Synchronous Machine (PMSM). The controller's dynamics are chosen in respect with the time domain constraints, which have equality relationships between the moments of the closed-loop system and those of the reference model. The Linear Matrix Inequality (LMI) formalism is used for the controller synthesis. The proposed controller is applied for the speed tracking of a PMSM to illustrate the performances of the method.

For control systems, nonlinearity, parameters variations and noise always represent a major disadvantage. Most classical control such that vector control, which stay the most frequently used and the most widespread, fail to reach high control performance under these conditions. In the present paper, an application of speed regulation to a permanent magnet synchronous machine (PMSM) where a modified internal model control and RST controllers are proposed. Both regulators are carried out under parameters variations and load disturbance. A comparative evaluation is conducted between the two controllers. Experimental results are satisfactory.