Nonlinear Dynamics

, Volume 48, Issue 4, pp 341–360 | Cite as

Parametric identification of nonlinear systems using multiple trials

  • M. D. Narayanan
  • S. Narayanan
  • Chandramouli Padmanabhan
Original Article


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.


Harmonic balance Method of least squares Multiple trials Nonlinear system identification 



Harmonic balance


Multidegree of freedom


Discrete Fourier transform


Fast Fourier transform


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Copyright information

© Springer Science + Business Media, B.V. 2007

Authors and Affiliations

  • M. D. Narayanan
    • 1
  • S. Narayanan
    • 1
  • Chandramouli Padmanabhan
    • 1
  1. 1.Machine Design Section, Department of Mechanical EngineeringIndian Institute of TechnologyChennaiIndia

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