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RESEARCH PAPERS

Input Requirements and Parametric Errors for System Identification Under Periodic Excitation

[+] Author and Article Information
L. L. Hoberock

Mechanical Engineering Department, The University of Texas at Austin, Austin, Texas

G. W. Stewart

Carnegie-Mellon University, Pittsburgh, Pa.

J. Dyn. Sys., Meas., Control 94(4), 296-302 (Dec 01, 1972) (7 pages) doi:10.1115/1.3426610 History: Received August 01, 1972; Online July 13, 2010

Abstract

This paper provides the conditions on periodic system excitation necessary for unique identification using a multiple input state model of a dynamic system. Results include the minimum number of input frequencies necessary to uniquely determine all state and input matrix elements of an n dimensional linear system. It is shown that this development encompasses earlier work done on single input-output systems. A technique is provided for predicting parametric errors to be expected from identification under periodic excitation, and several examples are used to illustrate these errors.

Copyright © 1972 by ASME
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