Frequency/Period Estimation and Adaptive Rejection of Periodic Disturbances.

Abstract

For a wide variety of systems, including sighting devices, weapons, machine tool arms, etc., operation under conditions which involve significant oscillatory disturbances is necessary. Often it is desirable to dynamically decouple the system from the disturbances by means of the intervention of active control. In many cases this must be done without a prior knowledge of the period (equivalently, the frequency) of the incoming disturbance. This document discusses a method for suppressing the oscillations of a linear system subject to an external periodic disturbance of fixed, but unknown, period. The method entails augmentation of the original plant with a compensator and parameter identifier. The near equilibrium dynamics of the resulting system are analyzed and shown to be related to a linear delay equation with infinite delay and periodic coefficients. A corresponding Floquet theory is indicated. A FORTRAN program approximately realizing the period identifier is included and numerical results obtained with this program are graphically displayed and analyzed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1984
Accession Number
ADA149229

Entities

People

  • D. L. Russell

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Coefficients
  • Compensators
  • Differential Equations
  • Dynamics
  • Equations
  • Estimators
  • Frequency
  • Linear Systems
  • Machine Tools
  • Mathematics
  • Oscillation
  • Rejection
  • Scientific Research
  • United States
  • Wisconsin

Readers

  • Control Systems Engineering.
  • Theoretical Analysis.