As unmanned aerial vehicle(UAV) technology has evolved in recent years, the need for mission execution has evolved towards multi-UAV collaboration. The scale of UAV clusters has become larger and larger, then the network topology control method for UAV clusters is particularly important. In this paper, on the basis of researching a large amount of literature, an improved clustering algorithm based on the fuzzy C-clustering algorithm is proposed to be applied to the topology control of UAV networks, and relevant mathematical modelling and algorithmic simulation analyses are carried out. The analysis results show that the method used in this paper has better performance than the widely used Low Energy Adaptive Clustering Hierarchy(LEACH) algorithm. The use of this algorithm can show better topology control results when working together in UAV clusters.