Results of Some Investigations of Differential Gain Theory Applied to Air-to-Air Systems. Volume IV. Intercepting an Accelerating Target Using Quasi-Optimal Control for Air-to-Air Systems.

Abstract

The technique of quasi-optimum control, developed by B. Friedland is applied to the problem of intercepting an accelerating target with an air launched missile. The problem is first stated as an optimal control problem with non-linear system equations and a quadratic cost functional. Several techniques of finding feedback type optimal controls which have been developed by solving various approximations to the original problem are then described. None of these techniques makes explicit use of a measurement of lateral target acceleration. Three control techniques are then developed which use measurements of target acceleration to develop closed form controls. The first control is found by solving a linearized version of the original problem. The other two controls are quasi-optimum controls which use the solution of the linearized problem to obtain a new feedback type solution that is more nearly optimal for the original problem. Based on performance in simulations of typical attack geometries and target maneuvers, these three control techniques are found to be superior to previous techniques.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1975
Accession Number
ADA020094

Entities

People

  • Henry F. Eide

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Launched
  • Equations
  • Feedback
  • Geometry
  • Linear Systems
  • Maneuvers
  • Mathematics
  • Measurement
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Missile Defense Systems.