To solve the problem that the traditional centroid measurement system based on three-sensor cannot be applied to the aerocraft with large wingspan, a mass centroid measurement system based on three-point is proposed, which has no requirements for the aerocraft rotation angle. To improve the measurement accuracy of system, the comprehensive influence of random errors on the system measurement accuracy is analyzed by the response surface method. Firstly, the mass and centroid measurement system of the aerocraft with wingspan is designed. Then, the mathematical derivation between random error and system measurement accuracy is given by using the random error transfer formula. Using the response surface method and the Latin hypercube sampling method, the quadratic term relational model between the random error and system measurement accuracy is obtained. Based on the quadratic term relational model and system accuracy index, the accuracy requirements of each component are obtained, and the range of the rotation angle satisfying the measurement error is analyzed. Finally, several measurements ae carried out on the three mass levels of 200 kg, 400 kg and 800 kg for different rotation angles, and the calculation results of response surface are compared with the theoretical values. The results show that the measurement accuracy of the centroid can meet the requirements of the system accuracy, demonstrating the validity of the method for any rotation angle and the correctness of the quadratic term relationship model between the random error and the measurement accuracy of the system.
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