Research on Mathematical Model of Receiver Dynamic Position Calibration Method

In the traditional disc method, the receiver does circular motion on a fixed platform, and the measured value is compared with the static theoretical trajectory of the device to achieve the dynamic positioning accuracy measurement of the receiver, but due to vibration, wind resistance and other reasons, there is a deviation between the actual motion trajectory and the static theoretical trajectory, and the use of trajectory comparison cannot realize the single-point dynamic verification of the receiver. In view of the deviation problem, the position deviation detection system composed of PSD two-dimensional position sensor and laser range-finder is used to dynamically monitor the deviation. For the single-point verification problem, the photoelectric sensor with fast response characteristics is used to trigger the acquisition system to weaken the influence of time desynchronization and realize single-point verification. The device is modeled and analyzed, and the mathematical model of deviation processing is established, and the mathematical model from the measured value of the position deviation detection system to the dynamic actual position of the receiver antenna is realized. Finally, the Leica TS60 ultra-high-precision total station with automatic tracking and detection function was used as the true value to verify the feasibility of the mathematical model of the present scheme, which was XG, YG and ZG. The average errors in the G direction were 1.93mm, 1.94mm, 1.45mm, and the standard deviation was less than 0.6mm, which verified the feasibility of the mathematical model of the scheme which provided ideas and references for researchers of receiver dynamic positioning accuracy detection.