Linear parameter varying control of permanent magnet synchronous motor via parameter-dependent lyapunov function for electrical vehicles

This paper presents linear parameter varying (LPV) control of permanent magnet synchronous motor (PMSM), which have nonlinear model in d-q rotating frame, using Linear Matrix Inequality (LMI). PMSM model is rewritten in the LPV form depending on the angular speed of rotor which can be measured or estimated. Parameter-dependent Lyapunov function is used for the LPV control design such that the robust stability is assured for all varying parameters using multi-convexity functions. The proposed LPV structure of speed tracking problem is based on the field oriented control (FOC) in the AC motor control methods. Thus, the proposed LPV controller acquires the control of stator currents in d-q rotating frames for the speed control of PMSM in Electrical Vehicle (EV) presented in the simulation results.