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Vibration Suppression of a Flexible Piezoelectric Beam Using BP Neural Network Controller

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Abstract

This paper aims at modeling and developing vibration control methods for a flexible piezoelectric beam. A collocated sensor/actuator placement is used. Finite element analysis (FEA) method is adopted to derive the dynamics model of the system. A back propagation neural network (BPNN) based proportional-derivative (PD) algorithm is applied to suppress the vibration. Simulation and experiments are conducted using the FEA model and BPNN-PD control law. Experimental results show good agreement with the simulation results using finite element modeling and the neural network control algorithm.

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References

  1. Yang, T.W., Xu, W.L. and Han, J.D., Dynamic compensation control of flexible macro-micro manipulator systems. IEEE Transactions on Control System Technology, 2010, 18(1): 143–151.

    Article  Google Scholar 

  2. Peng, X.Q., Lam, K.Y. and Liu, G.R., Active vibration control of composite beams with piezoelectrics: a finite element model with third order theory. Journal of Sound and Vibration, 1998, 209(4): 635–649.

    Article  Google Scholar 

  3. Hurlebaus, S. and Gaul, L., Smart structure dynamics. Mechanical Systems and Signal Processing, 2006, 20(2): 255–281.

    Article  Google Scholar 

  4. Xu, S.X. and Koko, T.S., Finite element analysis and design of actively controlled piezoelectric smart structures. Finite Elements in Analysis and Design, 2004, 40(3): 241–262.

    Article  Google Scholar 

  5. Janocha, H., Adaptronics and Smart Structures. Berlin Heidelberg: Springer-Verlag, 2007.

    Book  Google Scholar 

  6. Bandyopadhyay, B., Manjunath, T.C. and Umapathy, M., Modeling, Control and Implementation of Smart Structures: a FEM State-space Approach. Berlin Heidelberg: Springer-Verlag, 2007.

    MATH  Google Scholar 

  7. Lee, G.S., System identification and control of smart structures using neural networks. Acta Astronautica, 1996, 38(4–8): 269–276.

    Article  Google Scholar 

  8. Kawabe, H., Tsukiyama, N. and Yoshida, K., Active vibration damping based on neural network theory. Materials Science and Engineering A—Structural Materials Properties Microstructure and Processing, 2006, 442(1–2): 547–550.

    Article  Google Scholar 

  9. Tian, L.F. and Collins, C., Adaptive neuro-fuzzy control of a flexible manipulator. Mechatronics, 2005, 15(10): 1305–1320.

    Article  Google Scholar 

  10. Shi, Y.M., Hua, H.X. and Sol, H., The finite element analysis and experimental study of beams with active constrained layer damping treatments. Journal of Sound and Vibration, 2004, 278(1–2): 343–363.

    Article  MathSciNet  Google Scholar 

  11. Mohamed, Z. and Tokhi, M.O., Command shaping techniques for vibration control of a flexible robot manipulator. Mechatronics, 2004, 14(1): 69–90.

    Article  Google Scholar 

  12. Kattan, P.L., MATLAB Guide to Finite Elements. Berlin Heidelberg: Springer-Verlag, 2008.

    Book  Google Scholar 

  13. Xie, Y., Zhao, T. and Cai, G.P., Model reduction and active control for a flexible plate. Acta Mechanica Solida Sinia, 2011, 24(5): 467–476.

    Article  Google Scholar 

  14. Gupta, V., Sharma, M. and Thakur, N., Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review. Journal of Intelligent Materials Systems and Structures, 2010, 21(12): 1227–1243.

    Article  Google Scholar 

  15. Liu, J.K., Matlab Simulation of Advanced PID Control. Beijing: Publishing House of Electronics Industry, 2004 (in Chinese).

    Google Scholar 

  16. Wei, J.J., Qiu, Z.C., Han, J.D. and Wang, Y.C., Experimental comparison research on active vibration control for flexible piezoelectric manipulator using fuzzy controller. Journal of Intelligent and Robotic Systems, 2010, 59(1): 31–56.

    Article  Google Scholar 

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Correspondence to Zhicheng Qiu.

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Project supported by the Key Project (No. 60934001) and the General Projects (Nos. 51175181 and 90505014) of the National Natural Science Foundation of China, and by the Fundamental Research Funds for the Central Universities, SCUT (No. 2012ZZ0060).

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Qiu, Z., Zhang, X. & Ye, C. Vibration Suppression of a Flexible Piezoelectric Beam Using BP Neural Network Controller. Acta Mech. Solida Sin. 25, 417–428 (2012). https://doi.org/10.1016/S0894-9166(12)60037-8

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60037-8

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