高超声速飞行器平稳滑翔弹道扰动运动伴随分析

Aiming at the problem of steady glide trajectory for hypersonic vehicle with disturbance motion, the adjoint method and its application were studied. Based on the mathematical definition of adjoint system, interpretations of adjoint method were achieved in a new and general way, which include performance projections in error budget form and the general meaning of single adjoint computer run. For stochastic linear system, the adjoint of covariance analysis was derived. Then, based on the definition of glide dynamics model and the definition of steady glide trajectory, the consistency of the definition of steady glide trajectory was explored by simulation analysis. The dynamics model was built for glide with disturbances on initial states and aerodynamic forces. Under the assumption of small perturbations, the linearized differential equation was obtained as a perturbation to the nominal steady glide trajectory. Finally, adjoint simulation examples were taken to analyze the influence of the deterministic and stochastic disturbances on final states of the nominal steady glide trajectory, and the results agree closely with those by nonlinear simulations and Monte Carlo simulations, but the adjoint simulation offers a substantial increase in computing efficiency.