A second-order epsilon method for constrained trajectory optimization.
Hewett, Marle David.
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A second-order epsilon method is developed for trajectory optimization problems. The method is applied to several aircraft and missile performance and air combat maneuvering problems. Heavy emphasis is placed on the realistic modeling of the flight vehicle's motion and maneuvering limitations. The proposed optimization technique, which is an extension of Balakrishnan' s epsilon method, uses either the full second-order Newton-Raphson method or the "modified" Newton- Raphson method to minimize the epsilon functional. The full Newton-Raphson method exhibits terminal convergence characteristics superior to the "modified" method, whereas the "modified" method is generally superior in the initial stages of a problem. An algorithm is developed which uses both techniques in a complementary way. A new penalty functional which has desirable theoretical properties and exhibits excellent computational behavior is introduced to treat state and control inequality constraints.
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