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On Gain Design in Virtual Output Feedback for Model Updating

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Proceedings of the 13th International Conference on Damage Assessment of Structures

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The set of equations to be solved for parameter estimation in model updating has no unique solution when, as will often be the case in structural applications, the dimensionality of the model exceeds the number of target parameters estimated from experiments. One approach for enlarging the target space is to create closed-loop systems that, in addition, can be designed with pole sensitivities favorable for updating the model. The present paper will focus on designing gains for model updating using a recently proposed virtual implementation of output feedback, which allows computation of several closed-loop systems from a single open-loop realization and removes the constraint of closed-loop stability. The gains are designed through an eigenstructure assignment procedure, in which the model parameters of interest in the updating are divided into two different classes; one where the pole sensitivities with respect to the parameters are to be enhanced and one where they are to be reduced. A numerical example with a structural system is presented that demonstrates the merit of the proposed gain design procedure.

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References

  1. Friswell, M.I., Mottershead, J.E.: Finite Element Model Updating in Structural Dynamics. Kluwer Academic Publishers, Dordrecht (1995)

    Book  Google Scholar 

  2. Mottershead, J.E., Link, M., Friswell, M.I.: The sensitivity method in finite element model updating: a tutorial. Mech. Syst. Signal Process. 25(7), 2275–2296 (2011)

    Article  Google Scholar 

  3. Nalitolela, N.G., Penny, J.E.T., Friswell, M.I.: A mass or stiffness addition technique for structural parameter updating. Int. J. Anal. Exp. Modal Anal. 7(3), 157–168 (1992)

    Google Scholar 

  4. Cha, P., Gu, W.: Model updating using an incomplete set of experimental modes. J. Sound Vib. 233(4), 583–596 (2000)

    Article  Google Scholar 

  5. Rade, D.A., Lallement, G.: A strategy for the enrichment of experimental data as applied to an inverse eigensensitivity-based FE model updating method. Mech. Syst. Signal Process. 12(2), 293–307 (1998)

    Article  Google Scholar 

  6. Koh, B.H., Ray, L.R.: Feedback controller design for sensitivity-based damage localization. J. Sound Vib. 273(1), 317–335 (2004)

    Article  Google Scholar 

  7. Jiang, L.J., Tang, J.J., Wang, K.W.: An optimal sensitivity-enhancing feedback control approach via eigenstructure assignment for structural damage identification. J. Vib. Acoust. 129(6), 771–783 (2007)

    Article  Google Scholar 

  8. Bernal, D., Ulriksen, M.D.: Output feedback in the design of eigenstructures for enhanced sensitivity. Mech. Syst. Signal Process. 112, 22–30 (2018)

    Article  Google Scholar 

  9. Bernal, D.: Parameter estimation using virtual output feedback. Mech. Syst. Signal Process. (to appear)

    Google Scholar 

  10. Bernal, D.: Parameter estimation using virtual dynamic output feedback. Mech. Syst. Signal Process. (to appear)

    Google Scholar 

  11. Ulriksen, M.D., Bernal, D.: On the use of complex gains in virtual feedback for model updating. In: Proceedings of the International Conference on Structural Engineering Dynamics (ICEDyn) 2019, Viana do Castelo, Portugal (2019)

    Google Scholar 

  12. Bernal, D., Ulriksen, M.D.: Virtual closed-loop parameter estimation. In: Proceedings of the International Conference on Structural Engineering Dynamics (ICEDyn) 2019, Viana do Castelo, Portugal (2019)

    Google Scholar 

  13. Jensen, M.S., Hansen, T.N., Ulriksen, M.D., Bernal, D.: Physical and virtual implementation of closed-loop designs for model updating. In: Proceedings of the 13th International Conference on Damage Assessment of Structures (DAMAS 2019), Porto, Portugal (2019)

    Google Scholar 

  14. Hansen, T.N., Jensen, M.S., Ulriksen, M.D., Bernal, D.: On the model order in parameter estimation using virtual compensators. In: Proceedings of the 13th International Conference on Damage Assessment of Structures (DAMAS 2019), Porto, Portugal (2019)

    Google Scholar 

  15. Juang, J.N.: Applied System Identification. Prentice Hall, Upper Saddle River (1994)

    MATH  Google Scholar 

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Acknowledgment

The first author gratefully acknowledge the Danish Hydrocarbon Research and Technology Centre (DHRTC) for the financial support.

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Correspondence to Martin D. Ulriksen .

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Ulriksen, M.D., Bernal, D. (2020). On Gain Design in Virtual Output Feedback for Model Updating. In: Wahab, M. (eds) Proceedings of the 13th International Conference on Damage Assessment of Structures. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-8331-1_26

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  • DOI: https://doi.org/10.1007/978-981-13-8331-1_26

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8330-4

  • Online ISBN: 978-981-13-8331-1

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