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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2009 Issue 8, Pages 49–57 (Mi at512)

This article is cited in 4 papers

Deterministic Systems

Symmetric Laplace transform and its application to parametric identification of linear systems

B. O. Kachanov

Zhukovskii Air Force Engineering Academy, Moscow, Russia

Abstract: Properties of bilateral symmetric integral transform, which possesses useful features for identification of linear systems, are investigated. Relationships for covariance functions of stochastic stationary processes of measurement errors and disturbances are determined. The optimal solution is proposed to the identification problem for linear multivariable system with measured state coordinates in the transformation parameter domain, with account for restricted bandwidth of dynamic processes in the system at hand. The problem is solved for unknown initial state of the system and complex measurement errors including correlated noise, constant errors and linear trends.

PACS: 45.30.+s, 02.50.Fz

Presented by the member of Editorial Board: V. N. Bukov

Received: 29.07.2007


 English version:
Automation and Remote Control, 2009, 70:8, 1309–1316

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