Measuring linear approximation to weakly nonlinear MIMO systems

Tadeusz Dobrowiecki, Johan Schoukens

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

6 Citations (Scopus)

Abstract

The choice of the input signals has impact on the nonparametric frequency response function (FRF) measurements of a nonlinear MIMO system. It is shown that Gaussian noise, periodic noise, and random multisines are equivalent, yielding in the limit the same linear approximation to a nonlinear MIMO system. Even in the noiseless case, variability of the FRF is observed due to the presence of the nonlinearity and the randomness of the excitation. Based upon these effects a new class of equivalent input signals is proposed, decreasing essentially the variance of the nonlinear FRF measurements, while the same linear approximation is retrieved.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
Pages1173-1178
Number of pages6
Publication statusPublished - Dec 1 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: Jul 3 2005Jul 8 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CountryCzech Republic
CityPrague
Period7/3/057/8/05

    Fingerprint

Keywords

  • Excitation
  • Frequency-response
  • MIMO systems
  • Nonparametric
  • Variance

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Dobrowiecki, T., & Schoukens, J. (2005). Measuring linear approximation to weakly nonlinear MIMO systems. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 1173-1178). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).