Mean value theorem-based controller for PMSM drive

This paper proposes a novel nonlinear control strategy for the field-oriented control (FOC) of permanent magnet synchronous motors (PMSMs), utilizing the mean value theorem (MVT). By integrating MVT with a sector nonlinearity transformation, the inherently nonlinear error dynamics in the state-feedback system are reformulated into a linear parameter-varying (LPV) model. Stability criteria are established through Lyapunov-based analysis, which are subsequently converted into linear matrix inequalities (LMIs) to compute the controller gains. Experimental validation conducted on a 415 W PMSM demonstrates that the proposed controller ensures precise speed tracking and robust field orientation, even in the presence of varying load torque disturbances.