The purpose of this research is to address the issues of high field nonlinearities in vibration control using APPN (Active-Passive Hybrid Piezoelectric Network). Experimental effort is carried out to quantify the nonlinearities in piezoelectric actuation. Based on the sliding mode theory, a robust controller is developed to compensate for the nonlinearities as uncertainties in the integrated system. The effectiveness of the proposed scheme is demonstrated by numerical and experimental analyses.
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References
1.
Agnes, G. S. , 1995, “Development of a modal model for simultaneous active and passive piezoelectric vibration suppression,”Journal of Intelligent Material Systems and Structures, 6(4), 482-487.
2.
Crawley, E. F. and Lazarus, K. B., 1990, “Induced strain actuation of isotropic and anisotropic plates,”AIAA Journal, 29(6), 944-951.
3.
Goldfarb, M. and Celanovic, N., 1997, “A lumped parameter electromechanical model for describing the nonlinear behavior of piezoelectric actuators,”ASME Journal of Dynamic Systems, Measurement, and Control, 119(3), 478-485.
4.
Hagood, N. W. and von Flotow, A., 1991, “Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,”Journal of Sound and Vibration, 146(2), 243-268.
5.
Hung, J. Y. , Gao, W., and Hung, J. C., 1993, “Variable Structural Control: A Survey,”IEEE Transactions on Industrial Electronics, 40(1), 2-22.
6.
Kahn, S. P. and Wang, K. W., 1995, “On the simultaneous design of active-passive hybrid control actions for structures with piezoelectrical networks,” ASME Paper # 95-WA/AD5.
7.
Lewis, F. L. and Syrmos, V. L., 1995, Optimal Control, Wiley, New York.
8.
Royston, T. J. and Houston, B. H., 1998, “Modeling and measurement of nonlinear dynamic behavior in piezoelectric ceramics with application to 1-3 composites,”Journal of the Acoustical Society of America, 104(5), 2814-2827.
9.
Sirohi, J. and Chopra, I., 1998, “Fundamental behavior of piezoceramics sheet actuators,”Proceedings of SPIE, Smart Structures and Materials, 3329, 626-646.
10.
Slotine, J-J. E. and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
11.
Standards Committee of the IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society , 1987, An American National Standard: IEEE Standard on Piezoelectricity, The Institute of Electrical and Electronics Engineers, ANSI/IEEE Std. 176-1987, New York.
12.
Tsai, M. S. and Wang, K. W., 1999, “On the structural damping characteristics of active piezoelectric actuators with passive shunt,”Journal of Sound and Vibration, 221(1), 1-22.
13.
Utkin, V.I. , 1993, “Sliding Mode Control Design Principles and Applications to Electric Drives,”IEEE Transactions on Industrial Electronics, 40(1), 23-36.
