System Identification Using Frequency Scanning and the Eigensystem Realization Algorithm

Abstract

The application of the eigensystem realization algorithm to flexible structures excited with nonimpulse type inputs is described. Sinusoidal pulses are a special subset of such inputs, and a discussion is given on their use to lock on to particular modes. The determination of impulse response functions from nonimpulse response functions is performed via a two step procedure. In the first step, free decay data is analyzed by the eigensystem realization algorithm to determine the structural frequencies and damping. Forced response data is analyzed in the second step, by solving an overdetermined set of linear equations for the modal coefficients of the impulse responses. It is shown that the number of impulse response coefficients is halved if displacement, velocity, and/or acceleration sensors are used in conjunction with force actuators. System identification is completed after the eigensystem realization algorithm is used on the impulse responses to produce a linear state space model of the structure. Numerical examples are given in which structural models are determined from simulated data corrupted with noise.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1994
Accession Number
ADA283924

Entities

People

  • Ralph Quan

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Sensors
  • Space

DTIC Thesaurus Topics

  • Actuators
  • Air Force
  • Algorithms
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Flexible Structures
  • Frequency
  • Frequency Bands
  • Guidance
  • Kalman Filters
  • Linear Differential Equations
  • Navigation
  • Resonant Frequency
  • Space Systems
  • Vibration

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Linear Algebra

Technology Areas

  • Space