Quasilinearization Solution of the Proportional Navigation Problem.

Abstract

An approximate solution is presented in this report for the trajectory of a constant-speed missile following a planar intercept trajectory based on proportional navigation guidance. The technique of quasilinearization is used to generate a sequence of solutions. An explicit solution is developed using the first recursive solution. The accuracy of this solution is discussed in the context of specific sets of parameters. It is shown that this explicit solution provides excellent accuracy over a wide range of intercept trajectories. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA113668

Entities

People

  • Dale W. Alspaugh
  • Maurice M. Hallum Iii

Organizations

  • United States Army Aviation and Missile Command

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundary Value Problems
  • Control Systems
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Errors
  • Geometry
  • Guidance
  • Intercept Trajectories
  • Iterations
  • Motion Planning
  • Navigation
  • Nonlinear Differential Equations
  • Proportional Navigation
  • Sequences
  • Trajectories

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.