### 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 language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |

Pages | 1173-1178 |

Number of pages | 6 |

Volume | 16 |

Publication status | Published - 2005 |

Event | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic Duration: Jul 3 2005 → Jul 8 2005 |

### Other

Other | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 |
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Country | Czech Republic |

City | Prague |

Period | 7/3/05 → 7/8/05 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*IFAC Proceedings Volumes (IFAC-PapersOnline)*(Vol. 16, pp. 1173-1178)

**Measuring linear approximation to weakly nonlinear MIMO systems.** / Dobrowiecki, T.; Schoukens, Johan.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IFAC Proceedings Volumes (IFAC-PapersOnline).*vol. 16, pp. 1173-1178, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, Czech Republic, 7/3/05.

}

TY - GEN

T1 - Measuring linear approximation to weakly nonlinear MIMO systems

AU - Dobrowiecki, T.

AU - Schoukens, Johan

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - Excitation

KW - Frequency-response

KW - MIMO systems

KW - Nonparametric

KW - Variance

UR - http://www.scopus.com/inward/record.url?scp=79960719419&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960719419&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960719419

SN - 008045108X

SN - 9780080451084

VL - 16

SP - 1173

EP - 1178

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -