| Summary: | 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.
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