Nonlinear Guidance of Air-to-Air Missiles

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 11, 1979
Accession Number
ADA214688

Entities

People

  • Jan F. Andrus

Organizations

  • University of New Orleans

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computational Science
  • Convergence
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flight
  • Guidance
  • Integrals
  • Iterations
  • Mathematics
  • Numerical Analysis
  • Numerical Integration
  • Scientific Research
  • Simulations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Missile Defense Systems.