A Simulation Study of Four Real-Time Heuristic Algorithms for Multiple Missile Missile Evasion: A Game Theoretic Approach

Abstract

Four real-time heuristic algorithms for determining aircraft evasion strategies against a multiple missile threat are described. Algorithms 1 and 2 are based on a myopic saddle-point calculation which apportions the projection of the instantaneous aircraft acceleration among the normals to the individual maneuver or guidance planes defined by each missile and its target. Algorithms 3 and 4 are also based on myopic saddle-point calculations. These latter two algorithms apportion the projection of the instantaneous aircraft acceleration into the individual maneuver planes so as to maximize the minimum of a function which is related to the line of sight rate of each missile threat. These latter two algorithms are motivated by the concept of anti-proportional navigation. Simulation results using each algorithm with generic F-4 and AIM-9 truth models, characterized by nonlinear differential equations, including lift, drag, gravity, 3-dimensional point mass dynamics, aircraft load factor and roll rate limits, and missile autopilot dynamics and load factor limits are presented. All four heuristic algorithms are motivated by a formal game theoretic model for multiple missile evasion. This formal game theoretic analysis is included as part of this study. Keywords: Computerized simulation; Game theory; Control theory; Mathematical models.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA211093

Entities

People

  • Max Mintz
  • Michael S. Sheketoff
  • Stephen F. Huling

Organizations

  • Moore School of Electrical Engineering

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Algorithms
  • Computational Science
  • Computer Simulations
  • Control Systems
  • Differential Equations
  • Game Theory
  • Geometry
  • Mathematical Models
  • Nonlinear Dynamics
  • Plastic Explosives
  • Systems Engineering
  • Theorems
  • Three Dimensional
  • Two Dimensional
  • Virtual Reality

Readers

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