Differential Game Guidance Versus Proportional Navigation for an Air-to- Air Missile

Abstract

Proportional navigation is a closed loop optimal control for the case of a linear dynamic model of the air-to-air missile intercept problem and a quadratic cost function. This paper presents a differential game model of the intercept problem using nonlinear realistic dynamics, free final time and a terminal cost function related to probability of kill. With this model proportional navigation is no longer optimal and the extent of its nonoptimality is indicated for a range of saddle point solutions. A guidance concept based on differential game theory is discussed and is compared to proportional navigation in an off lime simulation. The considerable gains made by this scheme over proportional navigation provide the incentive to develop a real time version.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1975
Accession Number
ADA019326

Entities

People

  • Robin A. Poulter

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Aircrafts
  • Algorithms
  • Boundary Value Problems
  • Engineering
  • Equations Of State
  • Game Theory
  • Guidance
  • Line Of Sight
  • Miss Distance
  • Motivation
  • Navigation
  • Nonlinear Dynamics
  • Procedures (Computers)
  • Proportional Navigation
  • Simulations

Readers

  • Game Theory.
  • Inertial Navigation Systems.
  • Systems Analysis and Design