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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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.
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.
Hurlebaus, S. and Gaul, L., Smart structure dynamics. Mechanical Systems and Signal Processing, 2006, 20(2): 255–281.
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.
Janocha, H., Adaptronics and Smart Structures. Berlin Heidelberg: Springer-Verlag, 2007.
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.
Lee, G.S., System identification and control of smart structures using neural networks. Acta Astronautica, 1996, 38(4–8): 269–276.
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.
Tian, L.F. and Collins, C., Adaptive neuro-fuzzy control of a flexible manipulator. Mechatronics, 2005, 15(10): 1305–1320.
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.
Mohamed, Z. and Tokhi, M.O., Command shaping techniques for vibration control of a flexible robot manipulator. Mechatronics, 2004, 14(1): 69–90.
Kattan, P.L., MATLAB Guide to Finite Elements. Berlin Heidelberg: Springer-Verlag, 2008.
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.
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.
Liu, J.K., Matlab Simulation of Advanced PID Control. Beijing: Publishing House of Electronics Industry, 2004 (in Chinese).
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.
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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