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:

1974-06-01

Pagination or Media Count:

213.0

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 vehicles motion and maneuvering limitations. The proposed optimization technique, which is an extension of Balakrishnans 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 Trajectories, Accuracy and Ballistics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE