Some Bounds on the Generalized Fire Control Problem.

Abstract

The general problem of target maneuvers is attacked from the point of view of considering what would be optimal maneuver capabilities for the target given that the attacking gunner can conduct optimal fire control. It is shown that if p is the minimum with respect to target maneuver statistics of the maximum with respect to fire control algorithms of the kill probability, then P sub 1 < or =p < or = 1/2 P sub 1, where c can be calculated from the correlation function of the maneuver process. Further, if there is a bound on the Mth derivative of the target path, p sub 1 can be calculated from only the vulnerable area, the time of flight of the projectile, and the r.m.s. value of the Mth derivative. The results are perfectly general and do not depend on any assumption on the nature of the statistics such as a Gaussian assumption. The results are also simple and should allow a quick analysis when some sort of bounding estimate is required. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA033043

Entities

People

  • Harry L. Reed Jr.

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Army Aviation
  • Control Systems
  • Differential Equations
  • Distribution Functions
  • Engineering
  • Equations
  • Fire Control Systems
  • Kill Probabilities
  • Operations Research
  • Probability
  • Probability Density Functions
  • Statistics
  • Test And Evaluation
  • Vehicles
  • Weapon Systems
  • Weapons

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Military Science