Accession Number:

ADA214688

Title:

Nonlinear Guidance of Air-to-Air Missiles

Descriptive Note:

Final technical rept.

Corporate Author:

NEW ORLEANS UNIV LA DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1979-06-11

Pagination or Media Count:

52.0

Abstract:

In earlier work the necessary conditions of optimality were derived for a problem of minimum miss-distance guidance of air-to-air missiles. The model was based upon nonlinear translational equations of motion. The solution of the necessary conditions requires a solution of a two-point boundary- condition problem. Two methods proposed for the latter solution, an elliptic integral method and a series technique, were studied and both methods were rejected in favor of a procedure based upon the quasilinearization method. The latter requires fewer assumptions and exhibits excellent convergence properties. In order to remove the numerical integration problem and to simplify the linear two-point boundary-condition problem associated with quasilinearization, the regular methods was modified, three alternative techniques being derived, and a technical report was written which discusses the convergence properties and accuracy of the three modified quasilinearization methods applied to two-point boundary-condition problems in general.

Subject Categories:

  • Air- and Space-Launched Guided Missiles
  • Air Navigation and Guidance

Distribution Statement:

APPROVED FOR PUBLIC RELEASE