A new non-fragile prescribed performance control （PPC） protocol without any online learning parameter is proposed for the waverider vehicle （WV） to address the problems of existing PPC methods with a large amount of online learning and obvious fragility defects. By designing a new type of performance functions with re-adjusting function， the low-complexity-based control laws are developed for the velocity subsystem and the altitude subsystem of WV， and the problem of “explosion of terms” inherent to back-stepping is avoided. The stability of closed-loop system and the guarantee of prescribed performance are proved based on Lyapunov synthesis. Compared with the existing PPC， the improvement of the proposed method is that the constructed prescribed envelope is capable of actively adjusting its shape according to the error fluctuation caused by sudden disturbances， which avoids the possible control singular problem and makes up for the fragility defect of the existing PPC. The effectiveness and advantage of the addressed method are verified via compared numerical simulation.