Identifying a transfer function from a frequency response

Manuel Duarte Ortigueira, Duarte Valério, José Sá Da Costa

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

2 Citations (Scopus)

Abstract

In this paper, the classic Levy identification method is reviewed and reformulated using a complex representation. This new formulation is able to solve the well known bias of the classic method at low frequencies. The formulation is generic, addressing both integer order and fractional order transfer functions. A new algorithm based on a stacked matrix and its pseudo-inverse is proposed to accommodate the data over a wide range of frequencies. Several simulation results are presented, together with a real system identification. This system is the Archimedes Wave Swing, a prototype of a device to convert the energy of sea waves into electricity.

Original languageEnglish
Title of host publication2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007
Pages1405-1414
Number of pages10
Volume5 PART B
DOIs
Publication statusPublished - 2008
Event6th International Conference on Multibody Systems, Nonlinear Dynamics and Control, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007 - Las Vegas, NV, United States
Duration: 4 Sep 20077 Sep 2007

Conference

Conference6th International Conference on Multibody Systems, Nonlinear Dynamics and Control, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007
CountryUnited States
CityLas Vegas, NV
Period4/09/077/09/07

Keywords

  • (min ,max ,+) functions
  • Archimedes wave swing (AWS)
  • Fractional orders
  • identification methods
  • Integer order
  • Pseudo inverses
  • Real systems
  • Low frequency (LF)
  • Multi-body system (MBS)
  • New algorithm
  • Non-linear dynamics

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