在飞机的方案设计阶段，往往通过缩比验证机的试飞近似模拟全尺寸飞机的运动，进而验证方案设计的合理性。目前仅有低速飞行时的缩比模型相似设计研究，尚未开展超声速飞机的总体参数以及飞行控制律参数相似设计研究。为了开展带线性飞行控制律的高增益超声速飞机缩比模型飞行试验，需要系统地研究缩比模型与全尺寸飞机总体参数以及飞行控制律参数的相似关系。首先，基于重模型法推导了超声速缩比模型的本体参数以及运动参数的相似准则。其次，分析推导了适用于所有飞行控制律构型和反馈信号的普适性的相似关系。按照控制原理的差异，将飞行控制律参数划分为反馈增益和串联动态环节两类。针对这二类参数，基于相似系统理论，推导得到了普适性的相似关系。最后，以某超声速飞机及其缩比模型为算例，完成了带控制律闭环系统的数学仿真计算。仿真结果表明，带控制律的全尺寸飞机和缩比模型的仿真结果满足运动相似关系，证明了本文研究结论的正确性。

During the conceptual design phase of an aircraft, flight tests of scaled-model are often used to approximate the motion of full-size aircraft and validate the rationality of the design. Only similar design criteria have been investigated for scaled-model in the low-speed flight phase, however, no research has been carried out on similar design of overall parameters and flight control law parameters for supersonic aircraft. In order to carry out the flight test of high-gain supersonic aircraft with linear flight control law, it is necessary to systematically investigate the similarity of the overall parameters and flight control law parameters between the scaled-model and the full-size aircraft. First, the similarity criterions for the ontological parame-ters and the kinematic parameters of the scaled-model are derived based on the heavy model method. Second, the general similarity relationships applicable to all flight control law configurations and feedback signals are analyzed and derived. Ac-cording to the differences in control principles, the flight control law parameters are categorized into two types: feedback gains and series dynamic links. For these two types of parameters, similar relations with generalization are derived based on similar system theory. Finally, the mathematical simulation of a closed-loop system with a control law is completed using a supersonic aircraft and its scaled- model as an example. The results show that the simulation results of the full-size aircraft and scaled-model with flight control laws satisfy the motion similarity relationship, which proves the correctness of the re-search conclusions in this paper.