Identification of a class of non-linear systems

Thathachar, M. A. L. ; Ramaswamy, S. (1973) Identification of a class of non-linear systems International Journal of Control, 18 (4). pp. 741-752. ISSN 0020-7179

Full text not available from this repository.

Official URL:

Related URL:


This paper considers the on-line identification of a non-linear system in terms of a Hammerstein model, with a zero-memory non-linear gain followed by a linear system. The linear part is represented by a Laguerre expansion of its impulse response and the non-linear part by a polynomial. The identification procedure involves determination of the coefficients of the Laguerre expansion of correlation functions and an iterative adjustment of the parameters of the non-linear gain by gradient methods. The method is applicable to situations involving a wide class of input signals. Even in the presence of additive correlated noise, satisfactory performance is achieved with the variance of the error converging to a value close to the variance of the noise. Digital computer simulation establishes the practicability of the scheme in different situations.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
ID Code:51367
Deposited On:28 Jul 2011 11:55
Last Modified:28 Jul 2011 11:55

Repository Staff Only: item control page