Necessary and Sufficient Observability Conditions for Bearings-Only Target Motion Analysis

Abstract

The observability requirements for bearings-only target motion analysis (TMA) are rigorously established by solving a third-order nonlinear differential equation. Closed-form expressions are developed and subsequently used to specify necessary and sufficient conditions on own ship motion that ensure a unique tracking solution. It is shown that for certain types of maneuvers the estimation process remains unobservable, even when the associated bearing rate in non-zero. Such maneuvers are frequently overlooked in heuristic discussions of TMA observability, which may account for some common misconceptions regarding the characteristics of accepatable own ship motion

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA102073

Entities

People

  • Steven C. Nardone
  • Vincent J. Aidala

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Sensors

DTIC Thesaurus Topics

  • Control Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Line Of Sight
  • Linear Systems
  • Maneuvers
  • Measurement
  • Nonlinear Differential Equations
  • Ocean Environments
  • Rhode Island
  • Scalar Functions
  • Ship Motion
  • Targets
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Sensor Fusion and Tracking Systems.
  • Theoretical Analysis.