FORCED OSCILLATIONS IN NONLINEAR FEEDBACK CONTROL SYSTEM

Abstract

Since a nonlinear feedback control system may possess more than one type of forced oscillations, it is highly desirable to investigate the type of forced oscillations which can occur when the nonlinear restoring force function is of a specific form. This paper presents a harmonic linearization method for finding the existence of forced oscillations and response curve characteristics of a nonlinear feedback control system by means of finding the restoring force function of the nonlinearity and using the harmonic balance and an iteration method for investigating the conditions for one type of forced oscillations exhibited. The existence conditions for fundamental frequency, sub-harmonic of 2nd order and 3rd order forced oscillations of a second order feedback control system are investigated; the fundamental frequency forced oscillation for a higher order system and the jump resonance frequencies of response curve are investigated, and a general expression for the equivalent gain of the nonlinearity has been developed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0482239

Entities

People

  • Wu Tso-hai

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analog Computers
  • Control Systems
  • Differential Equations
  • Engineering
  • Equations
  • Frequency
  • Frequency Response
  • Generators
  • Linear Systems
  • Mathematical Analysis
  • Nonlinear Systems
  • Numerical Analysis
  • Phase Shift
  • Principle Of Superposition
  • Resonant Frequency
  • Simulations
  • Steady State

Fields of Study

  • Mathematics

Readers

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