Thathachar, MAL and Ramaswamy, S (1973) Identification of a class of non-linear systems. In: International Journal of Control,, 18 (4). 741 - 752.
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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: | Journal Article |
|---|---|
| Publication: | International Journal of Control, |
| Publisher: | Taylor and Francis Group |
| Additional Information: | Copy right of this article belongs to Taylor and Francis Group. |
| Department/Centre: | Division of Electrical Sciences > Electrical Engineering |
| Date Deposited: | 18 Jan 2010 07:46 |
| Last Modified: | 18 Jan 2010 07:46 |
| URI: | http://eprints.iisc.ac.in/id/eprint/23041 |
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