Paper Title:
On the Applicability of the Ho-Kalman Minimal Realization Theory
  Abstract

The reduced-order model of a time-invariant linear dynamical system, excited by a force of an impulsive type, may be readily obtained using the Ho-Kalman minimal-realization algorithm [1]. The method is based upon a particular factorization of the Hankel matrix in the Markovian representation of the discrete-time process. For stochastic systems, the applicability of the theory has been demonstrated by Akaike [2] on the assumption that the excitation is a zero-mean white noise of a gaussian type. Some of the most widely known output-only identification methods, such as Eigensystem Realization Algorithm (ERA), Canonical Variate Analysis (CVA), and Balanced Realization (BR)) are based upon the above-mentioned work, with the aid of a robust factorization technique, such as Singular-Value Decomposition (SVD). Notwithstanding the growing popularity of the above methods, some aspects of their applicability are not yet understood. Two points are of particular interest: the first regards the applicability of the theory in highly damped systems; and the second regards its applicability to systems driven by excitations different from the one hypothesized. The aim of the present work is to define a reliable test on the hypotheses. Some numerical and experimental results are presented.

  Info
Periodical
Edited by
L. Garibaldi, C. Surace, K. Holford and W.M. Ostachowicz
Pages
133-138
DOI
10.4028/www.scientific.net/KEM.347.133
Citation
R. Spadavecchia, A. de Stefano, D. Sabia, "On the Applicability of the Ho-Kalman Minimal Realization Theory", Key Engineering Materials, Vol. 347, pp. 133-138, 2007
Online since
September 2007
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$32.00
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