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Experimental Identification and Control of a Cantilever Beam Using ERA/OKID with a LQR Controller

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Abstract

This paper presents an experimental study of the system identification and vibration control of a cantilever beam. For system identification, a white noise was applied, and the response signal was measured. These signals were used to feed the eigensystem realization algorithm–Observer/Kalman Filter identification method. The identified system was reduced using the Hankel norm model. An linear quadratic regulator controller was projected to operate just on the first two natural frequencies of the structure. The damping ratio of the first mode was effectively increased from 0.009 to 0.046.

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Acknowledgments

The authors would like to acknowledge the support of the Instituto Nacional de Ciência e Tecnologia – Estruturas Inteligentes em Engenharia (INCT).

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Authors and Affiliations

  1. GMSINT – Grupo de Materiais e Sistemas Inteligentes, UNESP/FEIS – Faculdade de Engenharia de Ilha Solteira, Av. Brasil, 56, Ilha Solteira, SP, CEP 15385-000, Brazil

    L.A. Gagg F., S.M. da Conceição, C.H. Vasques, G.L.C.M. de Abreu, V. Lopes Jr. & M.J. Brennan

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  1. L.A. Gagg F.
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  2. S.M. da Conceição
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  3. C.H. Vasques
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  4. G.L.C.M. de Abreu
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  5. V. Lopes Jr.
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  6. M.J. Brennan
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Correspondence to L.A. Gagg F..

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Gagg F., L., da Conceição, S., Vasques, C. et al. Experimental Identification and Control of a Cantilever Beam Using ERA/OKID with a LQR Controller. J Control Autom Electr Syst 25, 161–173 (2014). https://doi.org/10.1007/s40313-014-0108-8

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  • DOI: https://doi.org/10.1007/s40313-014-0108-8

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