Application of Second-Order Gradient Methods Combined with Singular Perturbation Methods for Minimum-Time Flight Problems

• Main Authors: Ho, Luliang, 何旅良
• Other Authors: Sheu Donglong
• Format: Others
• Language: zh-TW
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/57174565246587679835

碩士 === 國立成功大學 === 航空太空工程學系 === 84 === In this thesis, the second-order gradient algorithm combined with the singular perturbation method is applied to analyze the minimum-time climb trajectories of aircraft. Although, the second-order gradient algorithm has a faster rate of convergence for the free-terminal time problem, it is very difficult to find a suitable initial trajectory, since it must simultaneously satisfy the three conditions, i.e., the convexity condition, the normality condition, and the no-conjugate-point condition. In this thesis, the terminal increment method aided with the outer solution obtained by using the singular perturbation method is used to determine the initial trajectory. A set of fighter aerodynamic data is adopted in this thesis as a numerical example for the analysis of the minimum-time climb trajectories with various different initial and final conditions.