Time-Optimal Adaptive Shaped Torque (TOAST) Technical Note.

Abstract

A discussion of time-optimal retargeting of beam steering mirrors is given. The argument for a bang bang waveform is given first along with a simple 2nd order regulator problem as an example. The method of solution for a 2nd order tracker problem is given with an example. An argument is then put forth for using the time-optimal bang bang method on closed-loop control systems. The solution for the general multiple-order complex eigenvalue bang-bang boundary value problem is derived and an example is shown. This is followed by the demonstration of the time savings of the time-optimal retargeting technique, in which a lead compensator with a pure inertia is used to show the relationship between the ratio of maximum torque to the torque required by a classical set-point change and the savings in time for general retargeting problems. Finally, the time-optimal retargeting solution is applied to general retargeting problems. From this analysis several conclusions about using time optimal control on real systems are drawn. Keywords: Bang-bang, Retargeting; Time optimal.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA192719

Entities

People

  • D. L. Cate

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Beam Steering
  • Boundary Value Problems
  • Classification
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Feedback
  • Frequency
  • Open Loop Systems
  • Regulators
  • Security
  • Steady State
  • Time Domain
  • Transfer Functions

Readers

  • Control Systems Engineering.
  • Robotics and Automation.
  • Theoretical Analysis.