Accession Number : AD0780945

Title :   A Second-Order Epsilon Method for Constrained Trajectory Optimization.

Descriptive Note : Doctoral thesis.

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Hewett,Marle David

Report Date : JUN 1974

Pagination or Media Count : 213

Abstract : 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. (Modified author abstract)

Descriptors :   *Naval aircraft, *Aeronautics, *Guided missile trajectories, Optimization, Control theory, Partial differential equations, Inequalities, Numerical integration, Mathematical models, Maneuverability, Interception, Theses

Subject Categories : Guided Missile Traj, Accuracy and Ballistics

Distribution Statement : APPROVED FOR PUBLIC RELEASE