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Dynamic Modeling and Active Control of Flexible Plate Based on the Input-Output Data

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Abstract

This paper studies the low-order dynamic modeling and active control of a flexible plate and provides experimental verification. First based on the input-output data of the system, the Markov parameters of the system are identified using the method of observer/Kalman filter identification (OKID). Then a low-order state-space model is built using the eigensystem realization algorithm (ERA). Finally, a linear quadratic Gaussian (LQG) controller is designed based on the low-order state-space model. Experimental results have proved the effectiveness and feasibility of the research.

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References

  1. Miao, B.Q., Qu, G.J., Xia, S.Q. and Cheng, D.S., On the order reduction of dynamics models of flexible spacecraft. Engineering Science, 2001, 3(11): 60–64 (in Chinese).

    Google Scholar 

  2. Zhao, Y.Q., Chen, S.H., Chai, S. and Qu, Q.W., An improved modal truncation method for responses to harmonic excitation. Computers and Structures, 2002, 80(1): 99–103.

    Article  Google Scholar 

  3. Suarez, L.E. and Singh, M.P., Modal synthesis method for general dynamic systems. Journal of Engineering Mechanics, 1992, 118(7): 1488–1503.

    Article  Google Scholar 

  4. Hughes, P.C., Modal identities for elastic bodies with application to vehicle dynamics and control. Journal of Applied Mechanics, 1980, 47: 177–184.

    Article  MathSciNet  Google Scholar 

  5. Skelton, R.E. and Yousuff, A., Component cost analysis of large-scale systems. International Journal of Control, 1983, 37(2): 285–304.

    Article  MathSciNet  Google Scholar 

  6. Moore, B.C., Principal component analysis in linear system: controllability, observability and model reduction. IEEE Transaction on Automatic Control, 1981, 26(1): 17–31.

    Article  MathSciNet  Google Scholar 

  7. Park, J., Transfer function methods to measure dynamic mechanical properties of complex structures. Journal of Sound and Vibration, 2005, 288(1–2): 57–79.

    Article  MathSciNet  Google Scholar 

  8. Juang, J.N., Phan, M., Horta, L.G. and Longman, R.W., Identification of observer/Kalman filter Markov parameters: theory and experiments. Journal of Guidance, Control and Dynamics, 1993, 16: 320–329.

    Article  Google Scholar 

  9. Dong, X.J., Meng, G. and Peng, J.C., Vibration control of piezoelectric smart structures based on system identification technique: numerical simulation and experimental study. Journal of Sound and Vibration, 2006, 297(3–5): 680–693.

    Article  MathSciNet  Google Scholar 

  10. Juang, J.N. and Phan, M., Identification and Control of Mechanical Systems. New York: Cambridge University Press, 2001.

    Book  Google Scholar 

  11. Li, D.B., Experimental Modal Analysis and Application. Beijing: Science Press, 2001 (in Chinese).

    Google Scholar 

  12. Chen, L.X., Cai, G.P. and Pan, J., Experimental study of delayed feedback control for a flexible plate. Journal of Sound and Vibration, 2009, 322: 629–651.

    Article  Google Scholar 

Download references

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Correspondence to Guoping Cai.

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Project supported by the Key Project (No. 11132001) and the General Projects (Nos. 11072146 and 11002087) of the National Natural Science Foundation of China.

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Xie, Y., Zhao, T. & Cai, G. Dynamic Modeling and Active Control of Flexible Plate Based on the Input-Output Data. Acta Mech. Solida Sin. 26, 255–262 (2013). https://doi.org/10.1016/S0894-9166(13)60024-5

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  • DOI: https://doi.org/10.1016/S0894-9166(13)60024-5

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