This paper describes how the impulse response function of a linear and time invariant dynamic system can be computed numerically by deconvolution techniques, starting from its input and output time histories. The integral equation governing the problem is transformed into a severely ill-conditioned set of linear equations whose approximate solution is obtained through regularisation methods. A proposal, with the aim of taking into account the possible non-null initial conditions of the physical system, is suggested together with an algorithm that allows the definition of long impulse responses with limited computing effort. The implementation developed can deal with single input single output, single input multiple output and multiple input multiple output systems and has been tested both numerically and on two simple real structures. The advantages and disadvantages of these time domain techniques are discussed in comparison with the widely used frequency methods.

Identification of linear mechanical systems by deconvolution techniques / Fasana, Alessandro; Piombo, Bruno. - In: MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - ISSN 0888-3270. - 11:3(1997), pp. 351-373. [10.1006/mssp.1996.0081]

Identification of linear mechanical systems by deconvolution techniques

FASANA, ALESSANDRO;PIOMBO, Bruno
1997

Abstract

This paper describes how the impulse response function of a linear and time invariant dynamic system can be computed numerically by deconvolution techniques, starting from its input and output time histories. The integral equation governing the problem is transformed into a severely ill-conditioned set of linear equations whose approximate solution is obtained through regularisation methods. A proposal, with the aim of taking into account the possible non-null initial conditions of the physical system, is suggested together with an algorithm that allows the definition of long impulse responses with limited computing effort. The implementation developed can deal with single input single output, single input multiple output and multiple input multiple output systems and has been tested both numerically and on two simple real structures. The advantages and disadvantages of these time domain techniques are discussed in comparison with the widely used frequency methods.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1404049
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo