DOI QR코드

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Vibration control of a smart piezo beam via gain scheduling H∞ controller based on LPV model

  • Turan, Abdullah (Department of Mechanical Engineering, Inonu University) ;
  • Sahin, Melin (Department of Aerospace Engineering, Middle East Technical University) ;
  • Onat, Cem (Department of Airframe and Power-plant, Firat University)
  • 투고 : 2020.03.05
  • 심사 : 2020.11.17
  • 발행 : 2021.01.25

초록

In this study, a gain scheduling H controller based on Linear Parameter Varying (LPV) model was designed and applied to suppress the first out of plane bending vibration of a variable parameter smart beam equipped with Lead-Zirconium-Titanium (PZT) patches. This paper also introduces a novel LPV modelling technique which defalcates the zeros of the system. The controller design was carried out in three successive steps. In the first step, the variable parameter model of the beam with an added mass at its free end can rotate through a micro servo motor was experimentally obtained. In the second step, an original LPV model including the variable parameter model was obtained. Finally, H controller with gain scheduling was designed on LPV model. The obtained controller was then used both for simulations and experimental verifications. It was shown that in response to parameter changes in the system, the proposed controller is capable of suppressing the beam bending vibrations by also exhibiting a robust performance. In practice, the proposed LPV controller design strategy can be transacted for vibration control of aircraft wings, the parameters of which vary according to various load conditions changing in time and therefore deeply affects the passive characteristics of the system of interest.

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참고문헌

  1. Akin, O. (2015), "Active neuro-adaptive control of a smart beam having uncertainties in structural dynamics", Master Thesis; METU, Ankara, Turkey.
  2. Akin, O and Sahin, M. (2017), "Active neuro-adaptive vibration suppression of a smart beam", Smart Struct. Syst., Int. J., 20(6), 657-668. https://doi.org/10.12989/sss.2017.20.6.657
  3. Alam, M.N. and Rahman, N.U. (2010), "Active vibration control of a piezoelectric beam using PID controller", Experim. Study, Latin Am. J. Solids Struct., 9(6), 657-673. https://doi.org/10.1590/S1679-78252012000600003
  4. Algermissen, S., Rose, M., Keimer, R. and Sinapius, M. (2009), "Robust gain-scheduling for smart-structures in parallel robots", Proceedings of the SPIE, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, 7292(86). https://doi.org/10.1117/12.810977
  5. Avsar, A.L. and Sahin, M. (2016), "Bimorph piezoelectric energy harvester structurally integrated on a trapezoidal plate", Smart Struct. Syst., Int. J., 18(2), 249-265. https://doi.org/10.12989/sss.2016.18.2.249
  6. Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory, Siam, PA, USA.
  7. Chhabra, D., Narwal, K. and Singh, P. (2012), "Design and analysis of piezoelectric smart beam for active vibration control", Int. J. Adv. Res. Technol., 1(1), 1-5.
  8. Khot, S.M., Yelve, N.P., Tomar, R., Desai, S. and Vittal, S. (2012), "Active vibration control of cantilever beam by using PID based output feedback controller", J. Vib. Control, 18(3), 366-372. https://doi.org/10.1177/1077546311406307
  9. Kumar, S., Srivastava, R. and Srivastava, R.K. (2014), "Active vibration control of smart piezo cantilever beam using PID controller", Int. J. Res. Eng. Technol., 3(1), 392-399. https://doi.org/10.22153/kej.2017.08.005
  10. Omidi, E. and Mahmoodi, S.N. (2014), "Vibration control of collocated smart structures using H modified positive position and velocity feedback", J. Vib. Control, 22(10), 2434-2442. https://doi.org/10.1177/1077546314548471
  11. Onat, C. (2015), "WGC based robust and gain scheduling PI controller design for condensing boilers", Adv. Mech. Eng., 6, p. 659051. https://doi.org/10.1155/2014/659051
  12. Onat, C., Kucukdemiral, I.B., Sivrioglu, S. and Yuksek, I. (2007), "LPV model based gain scheduling controller for a full vehicle active suspension system", J. Vib. Control, 13, 1629-1666. https://doi.org/10.1177/1077546307078784
  13. Onat, C., Sahin, M. and Yaman, Y. (2011a), "Active vibration suppression of a smart beam by using an LQG control algorithm", Proceedings of the 2nd International Conference of Engineering Against Fracture (ICEAF II), Mykonos, Greece, June.
  14. Onat, C., Sahin, M., Yaman, Y., Prasad, S. and Nemana, S. (2011b), "Design of an LPV based fractional controller for the vibration suppression of a smart beam", International Workshop on Smart Materials&Structures and NDT in Aerospace, Montreal, Canada, November.
  15. Onat, C., Sahin, M. and Yaman, Y. (2012), "Fractional controller design for suppressing smart beam vibrations", Aircraft Eng. Aerosp. Technol., 84(4), 203-212. https://doi.org/10.1108/00022661211237728
  16. Onat, C., Sahin, M. and Yaman, Y. (2017), "Gain scheduling H, control of a smart beam with parameter varying", In: VIII ECCOMAS Thematic Conference on Smart Structures and Materials Smart, Madrid, Spain, June.
  17. Onat, C., Kucukdemiral, I.B., Sivrioglu, S., Yuksek, I. and Cansever, G. (2019), "LPV gain scheduling controller design for a nonlinear quarter-vehicle active suspension system", Transact. Inst. Measur. Control, 31(1), 71-95. https://doi.org/10.1177/0142331208090630
  18. Oveisi, A. and Nestorovic, T. (2014), "Robust mixed H2/H active vibration controller in attenuation of smart beam", Facta Universitatis, Series: Mechanical Engineering 12(3), 235-249.
  19. Ros, N.F.M., Saad, M.S. and Darus, I.Z.M. (2015), "Dynamic modeling and active vibration control of a flexible beam: a review", Int. J. Eng. Technol., 15(5), 12-17.
  20. Saad, M.S., Jamaluddin, H. and Darus, I.Z.M. (2012), "Active vibration control of flexible beam using differential evolution optimisation", World Academy of Science and Technology, 6(2), 419-426. https://doi.org/10.5281/zenodo.1081515
  21. Sahin, M., Karadal, F.M., Yaman, Y., Kircali, O.F., Nalbantoglu, V., Ulker, F.D. and Caliskan, T. (2008), "Smart structures and their applications on active vibration control: studies in the department of aerospace engineering", Middle East Technical University, Journal of Electroceramics, 20(3-4), 167-174. https://doi.org/10.1007/s10832-007-9130-6
  22. Sensor Technology, (2020), https://sensortechcanada.com/
  23. Shouwei, G., Zhiyuan, G., Yong, S., Jincong, Y. and Xiaojin, Z. (2010), "Performance analysis and comparison of FXLMS and FULMS algorithm for active structure vibration control", Proceedings of International Conference of Advance Computer Control, 1, pp. 197-201.
  24. Speedgoat Educational Real-Time Target Machine, (2020), https://www.speedgoat.com/products-services
  25. Turan, A., Onat, C. and Sahin, M. (2019), "Active vibration suppression of a smart beam via PID controller designed through weighted geometric center method", Proceedings of the 10th Ankara International Aerospace Conference, METU, Ankara, Turkey, September.
  26. Zoric, N.D., Simonovic, A.M., Mitrovic, Z.S., Stupar, S.N., Obradovic, A.M. and Lukic, N.S. (2014), "Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller", J. Sound Vib., 333(21), 5244-5268. https://doi.org/10.1016/j.jsv.2014.06.001