Non-parametric identification of multivariable systems: a local rational modeling approach with application to a vibration isolation benchmark

R.J. Voorhoeve, A. van der Maas, T.A.J. Oomen

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)
28 Downloads (Pure)

Abstract

Frequency response function (FRF) identification is often used as a basis for control systems design and as a starting point for subsequent parametric system identification. The aim of this paper is to develop a multiple-input multiple-output (MIMO) local parametric modeling approach for FRF identification of lightly damped mechanical systems with improved speed and accuracy. The proposed method is based on local rational models, which can efficiently handle the lightly-damped resonant dynamics. A key aspect herein is the freedom in the multivariable rational model parametrizations. Several choices for such multivariable rational model parametrizations are proposed and investigated. For systems with many inputs and outputs the required number of model parameters can rapidly increase, adversely affecting the performance of the local modeling approach. Therefore, low-order model structures are investigated. The structure of these low-order parametrizations leads to an undesired directionality in the identification problem. To address this, an iterative local rational modeling algorithm is proposed. As a special case recently developed SISO algorithms are recovered. The proposed approach is successfully demonstrated on simulations and on an active vibration isolation system benchmark, confirming good performance of the method using significantly less parameters compared with alternative approaches.

Original languageEnglish
Pages (from-to)129-152
Number of pages24
JournalMechanical Systems and Signal Processing
Volume105
DOIs
Publication statusPublished - 15 May 2018

Keywords

  • Frequency response function
  • Local parametric modeling
  • Matrix fraction description
  • Non-parametric
  • System identification

Fingerprint Dive into the research topics of 'Non-parametric identification of multivariable systems: a local rational modeling approach with application to a vibration isolation benchmark'. Together they form a unique fingerprint.

Cite this