DETERMINING THE TRANSFER FUNCTION OF A DYNAMIC SYSTEM WITH CONSTANT PARAMETERS (OPREDELENIE PEREDATOCHNOI FUNKTSII DINAMICHESKOI SISTEMY S POSTOYANNYMI PARAMETRAMI)

Abstract

It is shown how the method for determining the transfer function of a dynamic system with constant parameters developed by A. N. Sklyarevich (Sklyarevich, A. N. Operatornyye metody v statisticheskoy dinamike avtomaticheskikh sistem. 'Nauka', M., 1965) can be extended to the case when the poles of the transfer function of the system and the Laplace transform of the correlation function of the input signal do not coincide and are of order higher than one. A procedure for determining the cross-correlation function of the input and output signals is presented. This cross-correlation function is used as a basis for deriving a system of algebraic equations for determining the coefficients of the frequency response function and a recurrence formula for their calculation is presented. It is stressed that the results obtained here can be utilized in designing a special-purpose computer for calculating the transfer functions. Two examples illustrate the calculation procedure.

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Document Details

Document Type
Technical Report
Publication Date
Aug 18, 1967
Accession Number
AD0676569

Entities

People

  • B. B. Sodell

Organizations

  • Air Force Systems Command

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Computers
  • Control Systems
  • Cross Correlation
  • Equations
  • Experimental Data
  • Foreign Technology
  • Frequency
  • Frequency Response
  • Integral Equations
  • Linear Algebraic Equations
  • Noise
  • Stationary Processes
  • Transfer Functions
  • Translations
  • White Noise

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