Nonlinear Guidance of Air-to-Air Missiles
Final technical rept.
NEW ORLEANS UNIV LA DEPT OF MATHEMATICS
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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.
- Air- and Space-Launched Guided Missiles
- Air Navigation and Guidance