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The aerospace servo system potentiometer displacement sensor is a sensor widely used in military, aerospace and other fields. It is mainly used for signal measurement and feedback of servo system ,the performance of sensor affects the control precision of the servo system directly. With the development of aerospace technology, the requirement of control precision for servo system of rockets and missiles is higher and higher. In order to improve the output precision of potentiometer displacement sensor, the mathematical models of the linearity, asymmetric resistance and induced resistance of the potentiometer displacement sensor are established, and the relationship between the definitions of the resistance values of the sensor is obtained. Through the analysis of the influence of resistance index, external environment condition, sensor structure and material on the output accuracy of the sensor, the engineering application suggestions are given to improve the reliability of the sensor, which is of great significance to the development of servo thrust vector system.