Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game

摘要: If solutions of optimal control problems are to be realized in practical applications, one has take into account the influence unpredictable disturbances. lower and upper bounds for disturbances known, can investigate so-called worst case. This case formulated as a two-person differential game its solution closed form provides feedback controller against all possible Following this approach, realistically modelled lead general nonseparable, non zero-sum games where inequality constraints have taken account. A maximum cross-range reentry space-shuttle presence uncertain air density fluctuations serves an example. For treatment terminal conditions path which controls both players involved, responsibility obeying these is investigated, new transformation technique used. The open-loop representation computed along various saddle-point trajectories representing computational method based on numerical multipoint boundary-value problem arises from necessary game. Extensive results presented under dynamic pressure aerodynamic heating constraint. It outlined, that proposed allows not only analysis case, but also first step towards construction via successive computation or neural network training.