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The sensorless control system of permanent magnet synchronous motor (PMSM) fed by current source inverter is presented in this paper. The adaptive backstepping control system and the backstepping speed observer are presented. The control systems are based on multiscalar variables. The control variables are dc-link voltage and the output current vector pulsation. The control system was named the voltage control system because of the fact that the first control variable is voltage in dc-link. The machine inverter is treated as a commutator. It works with constant modulation index. The proposed control system is robust on mechanical and electromagnetical parameters of the motor. The adaptive estimator of the stator resistance is introduced. Such an approach to control of the PMSM motor gives better performance. It is robust to dynamic uncertainties and does not require knowledge of the system parameters. The mathematical equation was introduced. Simple method limitation of control variables is explained. The reference variables must be limited to a constant or various value if the motor system has to be used in the industrial applications. The simulation and experimental test are shown.