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Parametric identification of nonlinear systems using multiple trials

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Abstract

It is observed that the harmonic balance (HB) method of parametric identification of nonlinear system may not give right identification results for a single test data. A multiple-trial HB scheme is suggested to obtain improved results in the identification, compared with a single sample test. Several independent tests are conducted by subjecting the system to a range of harmonic excitations. The individual data sets are combined to obtain the matrix for inversion. This leads to the mean square error minimization of the entire set of periodic orbits. It is shown that the combination of independent test data gives correct results even in the case where the individual data sets give wrong results.

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Abbreviations

HB:

Harmonic balance

MDOF:

Multidegree of freedom

DFT:

Discrete Fourier transform

FFT:

Fast Fourier transform

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Authors and Affiliations

  1. Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600 036, India

    M. D. Narayanan, S. Narayanan & Chandramouli Padmanabhan

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  1. M. D. Narayanan
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  2. S. Narayanan
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  3. Chandramouli Padmanabhan
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Correspondence to Chandramouli Padmanabhan.

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Narayanan, M.D., Narayanan, S. & Padmanabhan, C. Parametric identification of nonlinear systems using multiple trials. Nonlinear Dyn 48, 341–360 (2007). https://doi.org/10.1007/s11071-006-9085-1

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  • DOI: https://doi.org/10.1007/s11071-006-9085-1

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