A new approach is proposed for designing a system of automated positioning of the engineer reconnaissance devices under dynamic reception conditions with a low GPS signal/noise ratio. An analysis is performed of the classical positioning methodology based on the GPS signal tracking, and a more efficient approach based on a Kalman filter modification is proposed. A comparative analysis of the tracking methods followed by numerical processing of the results in the MATLAB environment demonstrates that the proposed method improves the tracking characteristics by 7 dB and prevents the bit synchronization loss while simultaneously improving the Doppler frequency measurement accuracy under dynamic stress.