Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II

parametric identification

J. Schoukens, T. Dobrowiecki, R. Pintelon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper is the second of a series of two studying the asymptotic behaviour of non-parametric and parametric frequency domain identification methods to model linear dynamic systems in the presence of nonlinear distortions, using random multisine excitations. In Part I the non-parametric behavior of the transfer function measurement is studied. A related dynamic system (RLDS) is defined and linked to the classical results where the system is excited with normally distributed noise. In Part II the behavior of the parametric model is studied. Consistency is shown with respect to the RLDS system under some general conditions. A function of dependency is defined to detect the presence of unmodelled dynamics, nonlinear distortions and to bound the bias error on the transfer function estimate.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages1222-1227
Number of pages6
Volume2
Publication statusPublished - 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

Other

OtherProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)
CityNew Orleans, LA, USA
Period12/13/9512/15/95

Fingerprint

Nonlinear distortion
Linear systems
Identification (control systems)
Dynamical systems
Transfer functions

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Schoukens, J., Dobrowiecki, T., & Pintelon, R. (1995). Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II: parametric identification. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1222-1227). IEEE.

Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II : parametric identification. / Schoukens, J.; Dobrowiecki, T.; Pintelon, R.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1995. p. 1222-1227.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Schoukens, J, Dobrowiecki, T & Pintelon, R 1995, Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II: parametric identification. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, IEEE, pp. 1222-1227, Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, 12/13/95.
Schoukens J, Dobrowiecki T, Pintelon R. Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II: parametric identification. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. IEEE. 1995. p. 1222-1227
Schoukens, J. ; Dobrowiecki, T. ; Pintelon, R. / Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II : parametric identification. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1995. pp. 1222-1227
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