Abstract: As a non-contact charging method, wireless charging technology has strong applicability in UAV charging application scenarios, however, it faces some problems in the actual application process. On the one hand, wireless charging has very high requirements for the accuracy of UAV docking, and as long as there is a deviation, the charging efficiency will be reduced; on the other hand, and the charging efficiency of different models of UAVs also has differences. On the other hand, the charging efficiency varies among different UAV models. Due to these factors, wireless charging is not widely used in UAV scenarios at present. In view of this, this paper focuses on the efficiency degradation issue caused by offset and different UAV battery models, and proposes a matching network design method based on Chebyshev filter theory for magnetic coupling wireless charging against offset and load variation. The method innovatively treats mutual inductance and load resistance as variable factors and relates them to the frequency in the filter design. Then by leveraging well-established filter design methods, a high-stability wireless charging system is designed. Taking the first-order Chebyshev filter as an example, the scientific validity and reasonableness of the proposed method are verified through simulation and experimental operation, and the goal of maintaining stable transmission efficiency within a specific mutual inductance variation range and load range is successfully achieved.