A Method for Generating Closed-Loop Solutions to Differential Games

Abstract

The zero-sum, perfect information pursuit-evasion differential game is reviewed. The purpose of the thesis is to formulate a method for generating near-optimal closed-loop solutions to these problems. The method is then applied to a number of example problems in order to check its validity. This method deals with solutions in the small and is based on updating the two-point boundary-value problem by use of the neighboring extremal path concept. The two differential game problems examined are a simple motion problem and a rocket problem. Two separate cases were studied for each problem. One was the fixed final time problem and the other was the free final time with a terminal constraint. Analysis of the results obtained, supports the feasibility of this method to provide near-optimal closed-loop solutions to differential game problems.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0748347

Entities

People

  • Percy J. Gros Jr.

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computational Science
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Mechanical Engineering
  • Riccati Equation
  • Two Dimensional
  • United States

Readers

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