ISSN:
1013-9826
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
The reduced-order model of a time-invariant linear dynamical system, excited by a forceof 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 Markovianrepresentation of the discrete-time process. For stochastic systems, the applicability of the theoryhas been demonstrated by Akaike [2] on the assumption that the excitation is a zero-mean whitenoise of a gaussian type. Some of the most widely known output-only identification methods, suchas Eigensystem Realization Algorithm (ERA), Canonical Variate Analysis (CVA), and BalancedRealization (BR)) are based upon the above-mentioned work, with the aid of a robust factorizationtechnique, such as Singular-Value Decomposition (SVD). Notwithstanding the growing popularityof the above methods, some aspects of their applicability are not yet understood. Two points are ofparticular interest: the first regards the applicability of the theory in highly damped systems; and thesecond regards its applicability to systems driven by excitations different from the onehypothesized. The aim of the present work is to define a reliable test on the hypotheses. Somenumerical and experimental results are presented
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/54/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.347.133.pdf
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