To enhance the combat capability of Unmanned Aerial Vehicles （UAVs） in the military field and address challenges such as significant aerodynamic parameter perturbations and strong nonlinear coupling during maneuvering flight， a longitudinal trajectory tracking control law design was proposed for a transonic/supersonic UAV， which integrated Robustness Servomechanism Linear Quadratic Regulator （RSLQR） fusion with Model Reference Adaptive Control （MRAC）. Specifically， a mathematical model of UAV was established， and based on the framework of RSLQR and MRAC， the pitch channel control law and engine channel control law were designed. A numerical simulation environment was then constructed using Matlab to simulate and analyze the Kulbit flight performance of the proposed control law from the perspectives of calibration， wind disturbance， and parameter perturbation conditions. Simulation results show that the designed control law can ensure robust performance of the somersault maneuver process， improve the ability to suppress disturbances， compensate the uncertainty in the system online and improve the response quality of the system. The law can be used in engineering applications.