Nonlinear adaptive speed control for permanent magnet synchronous motors under the unbalanced resistances of phase windings

In this paper, we propose nonlinear adaptive speed control under three-phase voltage unbalance of permanent magnet synchronous motors. An adaptive control applied in a-b-c frame dynamics is proposed to compensate three-phase voltage unbalance by different values of resistance. At this method can estimate actual resistances. For velosity tracking, it is proven that the tracking error is globally asymptotically stable via Lyapunov theorem. The proposed method is performed to validate via the simulation.