Differential Game Theory Application to Intelligent Missile Guidance

Abstract

In this report the application of the differential game theory to missile guidance problem is considered. Interceptor/target relative kinematics equations for a 3-D engagement are derived in state space form suitable for implementing the feedback guidance through minimisation-maximisation of the performance index. This performance index is a generalisation of that utilised by previous researchers in this field and includes, in addition to the miss-distance term, other terms involving interceptor/target relative velocity terms. This latter inclusion allows the designer to influence the engagement trajectories so as to aid both the intercept and evasion strategies. Closed form expressions are derived for the Riccati differential equations and the feedback guidance gains. A link between the differential game theory based guidance and the optimal guidance, the proportional navigation (PN) and the augmented PN (APN) guidance is established.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2013
Accession Number
ADA591396

Entities

People

  • Farhan A. Faruqi

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Australia
  • Defense Systems
  • Differential Equations
  • Engineering
  • Equations
  • Feedback
  • Game Theory
  • Geometry
  • Guidance
  • Kinematics
  • Maneuvers
  • Miss Distance
  • Navigation
  • Proportional Navigation
  • Three Dimensional
  • Trajectories

Readers

  • Calculus or Mathematical Analysis
  • Missile Defense Systems.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers