I. Introduction
Unmanned aerial vehicles (UAVs) assisted communication, with a high probability of line-of-sight (LoS) over air-to-ground (A2G) wireless links, has received great attention in both military and civilian applications [1]. However, the broadcasting quality of wireless communication makes it highly possible that it will be wiretapped by malicious eavesdroppers (Eves). Recently, physical layer security technology has become a promising solution for realizing confidentiality in wireless communication besides the traditional encryption technique. However, when multiple ground mobile users (GUs) and UAVs are involved in the system, the service assignment among UAVs and legalistic GUs, the UAVs' movement with consideration of secure rate maximization and propulsion energy-saving as well as the quality of service (QoS) of GUs, make the UAVs' trajectory optimization a challenge.