Closed-Loop Controls for Differential Games Using a Gradient and a Differential Dynamic Programming Method.

Abstract

This thesis investigates the use of a gradient method and a combined gradient-differential dynamic programming (DDP) method to generate closed-loop controls for intercept problems formulated as differential games. The gradient method is applied to a planar motion pursuit-evasion game. The trajectory obtained compares favorably with that obtained using analytic expressions for closed-loop controls. The gradient method is applied to a three dimensional interceptor-penetrator game with simplified dynamics on a real-time basis. A combined gradient-DDP algorithm is applied to this problem but not on a real-time basis. The DDP portion of this combined control law was found to be unstable. The results obtained indicate that a gradient based scheme, because of its numerical stability and ability to rapidly converge to the vicinity of the optimum, may be used to generate an effective near-optimal closed-loop control law for some problems. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA034875

Entities

People

  • Robert R. Bacon

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Anti-Ballistic Missiles
  • Ballistic Missiles
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computer Simulations
  • Differential Equations
  • Dynamic Programming
  • Game Theory
  • Geometry
  • Guidance
  • Relative Motion
  • Three Dimensional
  • Trajectories
  • Zero-Sum Games

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Game Theory.