Accession Number:

ADA019324

Title:

Application of a Near-Optimal Closed Loop Control Law to a Pursuit- Evasion Game Between Two Spacecraft

Descriptive Note:

Master's thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s):

Report Date:

1975-12-01

Pagination or Media Count:

140.0

Abstract:

A near-optimal closed loop control law for zero-sum perfect information differential games is tested on a free final time, minimax range, pursuit-evasion game between two constant thrust spacecraft. The control law is based on a periodic first order update to the costate vector. This costate correction is generated from the state error from a reference TPBVP solution. Two nearly equivalent methods to obtain the relationship between the costate correction and the state error are tested. Three coplanar trajectories and two non-coplanar trajectories are tested using various vehicle characteristics. The control law is shown to provide the pursuer an effective means to take advantage of non-optimal play by his opponent thereby reducing the final range below the original TPBVP solution. Plots comparing the TPBVP solutions and the trajectories resulting from application of the control law against several non- optimal evaders are presented.

Subject Categories:

  • Operations Research
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE