Journal
AUTOMATICA
Volume 41, Issue 5, Pages 857-862Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2004.11.031
Keywords
identification; least squares; nonlinear systems; periodic motion; spectral analysis
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Periodic signals can be modeled by means of second-order nonlinear ordinary differential equations (ODEs). The right-hand side function of the ODE is parameterized in terms of known basis functions. The least-squares algorithm developed for estimating the coefficients of these basis functions gives biased estimates, especially at low signal-to-noise ratios. This is due to noise contributions to the periodic signal and its derivatives evaluated using finite difference approximations. In this paper a fully automated spectral analysis (ASA) technique is used to eliminate these noise contributions. A simulation study shows that using the ASA technique significantly improves the performance of the least-squares estimator. (c) 2005 Elsevier Ltd. All rights reserved.
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