This article takes permanent magnet synchronous motors as the research object. Usually, when we control the motor, we need to install sensors on the motor to obtain the dynamic information of the motor, such as the rotor speed and angle. However, in the actual working situation of the motor, many times we cannot install sensors, which requires us to use mathematical algorithms to estimate the dynamic information of the motor, Furthermore, it can replace the installation of sensors, which can greatly save costs. This article constructs a model for motor vector control