Minimax Terminal State Estimation under Exponentiated Generalized Quadratic Loss.

Abstract

This work considers two related minimax terminal state estimation problems. These estimation problems can serve as mathematical models for a radar tracking problem in which one is attempting to track a blind target which is under the control of an intelligent adversary, and has been programmed to maneuver evasively. The minimax formulation reflects a game theoretic situation in which one is confronted with an evader who is faced with a trade off between a gain due to our estimation error versus a loss due to the use of energy for evasive maneuvering. In this context the model could represent a blind incoming missile which has been preprogrammed to maneuver evasively. The target is modeled as a known linear dynamic system with an unknown forcing function which is assumed to be under the control of the intelligent adversary. The estimates are minimax with respect to the class of exponentiated generalized quadratic loss functions.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
ADA004830

Entities

People

  • Consuelo Sanchez De Padilla

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Maneuvers
  • Mathematical Models
  • Models
  • Radar Tracking
  • Terminals

Readers

  • Missile Defense Systems.
  • Statistical inference.
  • Strategic Security Studies

Technology Areas

  • AI & ML
  • AI & ML - Autonomous Systems
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms