DOI QR코드

DOI QR Code

DOB-based piezoelectric vibration control for stiffened plate considering accelerometer measurement noise

  • Li, Shengquan (School of Hydraulic, Energy and Power Engineering, Yangzhou University) ;
  • Zhao, Rong (School of Hydraulic, Energy and Power Engineering, Yangzhou University) ;
  • Li, Juan (School of Automation, Southeast University) ;
  • Mo, Yueping (School of Hydraulic, Energy and Power Engineering, Yangzhou University) ;
  • Sun, Zhenyu (School of Hydraulic, Energy and Power Engineering, Yangzhou University)
  • Received : 2012.11.19
  • Accepted : 2013.07.31
  • Published : 2014.09.25

Abstract

This paper presents a composite control strategy for the active suppression of vibration due to the unknown disturbances, such as external excitation, harmonic effects and control spillover, as well as high-frequency accelerometer measurement noise in the all-clamped stiffened plate. The proposed composite control action based on the modal approach, consists of two contributions including feedback part and feedforward part. The feedback part is the well-known PID controller, which is widely used to increase the structure damping and improve its dynamic performance close to the resonance frequencies. In order to get better performance for vibration suppression, the weight matrixes is optimized by chaos sequence. Then an improved disturbance observer (IDOB) as the feedforward compensation part is developed to enhance the vibration suppression performance of PID under various disturbances and uncertainties. The proposed IDOB can simultaneously estimate the various disturbances dynamically as well as measurement noise acting on the system and suppress them by feedforward compensation design. A rigorous analysis is also given to show why the IDOB can effectively suppress the unknown disturbances and measurement noise. In order to verify the proposed composite control algorithm (IDOB-PID), the dSPACE real-time simulation platform is used and an experimental platform for the all-clamped stiffened plate active vibration control system is set up. The experimental results demonstrate the effectiveness, practicality and strong anti-disturbances ability of the proposed control strategy.

Keywords

References

  1. Ang, K.K., Wang, S.Y. and Quek, S.T. (2002), "Weighted energy linear quadratic regulator vibration control of piezoelectric composite plates", Smart Mater. Struct., 10(11), 98-106.
  2. Balamurugan, V. and Narayanan, S. (2010), "Finite element modeling of stiffened piezolaminated plates and shells with piezoelectric layers for active vibration control", Smart Mater. Struct., 19(10), 1-21.
  3. Beck, B.S., Cunefare, K.A., Collet, M. and Ruzzene, M. (2011), "Active vibration control of a stiffened panel through application of negative capacitance shunts", Proceeding of SPIE, San Diego.
  4. Bedair, O. (2009), "Analysis and limit state design of stiffened plates and shells: a world view", Appl. Mech. Rev., 62(2), 374-384.
  5. Boudaoud, H., Belouettar, S., Daya, E.M. and Ferry, M.P. (2009), "A shell finite element for active-passive vibration control of composite structures with piezoelectric and viscoelastic layers", Mech. Adv. Mater. Sturct., 62(2), 374-384.
  6. Chen, W.H. (2003), "Nonlinear disturbance observer enhanced dynamic inversion control of missiles", J. Guid. Control Dynam., 26(1), 161-166. https://doi.org/10.2514/2.5027
  7. Grossard, M., Boukallel, M., Chaillet, N. and Rotinat-Libersa, C. (2011), "Modeling and robust control strategy for a control-optimized piezoelectric microgripper", IEEE/ASME T. Mechatronics, 16(4), 674-683. https://doi.org/10.1109/TMECH.2010.2050146
  8. Hu, Q.L. (2012), "Robust adaptive sliding mode attitude control and vibration damping of flexible spacecraft subject to unknown disturbance and uncertainty", T. Inst. Measurement Control, 34(4), 436-447. https://doi.org/10.1177/0142331210394033
  9. Ji, H.L., Qiu, J.H., Badel, A. and Chen, Y. (2009), "Semi-active vibration control of a composite beam by adaptive synchronized switching on voltage sources based on LMS algorithm", J. Intel. Mat. Syst. Str., 20(8), 939-947. https://doi.org/10.1177/1045389X08099967
  10. Jiang, J.P. and Li, D.X. (2010), "Optimal placement and decentralized robust vibration control for spacecraft smart solar panel structures", Smart Mater. Struct., 19(8), 1-10.
  11. Li, S.Q., Ji, H.L. and Qiu, J.H. (2012), "Multi-mode vibration suppression of a stiffened panel using active disturbance rejection controller based on output predictor", J. Vib. Eng., 25(1), 17-23 (In Chinese).
  12. Li, S.Q., Qiu, J.H., Ji, H.L., Zhu, K.J. and Li, J. (2011), "Piezoelectric vibration control for all-clamped panel using DOB-based optimal control", Mechatronics, 21(7), 1213-1221. https://doi.org/10.1016/j.mechatronics.2011.07.005
  13. Li, S.Q., Qiu, J.H., Li, J., Ji, H. and Zhu, K. (2012), "Multi-modal vibration control using amended disturbance observer compensation", IET Control Theory Appl., 6(1), 72-83. https://doi.org/10.1049/iet-cta.2010.0573
  14. Lin, J. (2005), "An active vibration absorber of smart panel by using a decomposed parallel fuzzy control structure", Eng. Appl. Artif. Intel., 18(5), 985-998. https://doi.org/10.1016/j.engappai.2005.03.010
  15. Ma, K. and Ghasemi-Nejhad, M.N. (2005), "Adaptive simultaneous precision positioning and vibration control of intelligent composite structures", J. Intel. Mat. Syst. Str., 16(2), 163-174. https://doi.org/10.1177/1045389X05048848
  16. Malgaca, L. and Karagulle, H. (2009), "Simulation and experimental analysis of active vibration control of smart beams under harmonic excitation", Smart Struct. Syst., 5(1), 55-68. https://doi.org/10.12989/sss.2009.5.1.055
  17. Montazeri, A., Poshtan, J. and Yousefi-Koma, A. (2011), "Design and analysis of robust minimax LQG controller for an experimental beam considering spill-over effect", IEEE T. Contr. Syst. T., 19(5), 1251-1259. https://doi.org/10.1109/TCST.2010.2071873
  18. Ohnishi, K., Nakao, M. and Miyachi, K. (1987), "Microprocessor controlled DC motor for load-insensitive position servo systems", IEEE T. Ind. Electron., 31(1), 44-49.
  19. Qiu, J.H. and Ji, H.L. (2010), "The application of piezoelectric materials in smart structures in China", Int. J. Aeronaut. Sci., 11(4), 266-284.
  20. Qiu, Z., Han, J., Zhang, X., Wang, Y.C. and Wu, Z.W. (2009), "Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator", J. Sound Vib., 326(3-5), 438-455. https://doi.org/10.1016/j.jsv.2009.05.034
  21. Radecki, P.P., Farinholt, K.M., Park, G. and Bement, M.T. (2010), "Vibration suppression in cutting tools using a collocated piezoelectric sensor/actuator with a adaptive control algorithm", J. Vib. Acoust., 132(5), 1-12.
  22. Ren, X., Lewis, F.L. and Zhang, J. (2009), "Neural network compensation control for mechanical system with disturbances", Automatica, 45(5), 1221-1226. https://doi.org/10.1016/j.automatica.2008.12.009
  23. Teoh, J.N., Du, C., Guo, G. and Xie, L. (2008), "Rejecting high frequency disturbances with disturbance observer and phase stabilized control", Mechatronics, 18(1), 53-60. https://doi.org/10.1016/j.mechatronics.2007.08.002
  24. Xie, W. (2010), "High frequency measurement noise rejection based on disturbance observer", J. Franklin I., 347(10), 1825-1836. https://doi.org/10.1016/j.jfranklin.2010.10.002
  25. Yang, J., Li, S.H. and Yu, X.H. (2013), "Sliding-mode control for system with mismatched uncertainties via a disturbance observer", IEEE T. Ind. Electron., 60(1), 160-169. https://doi.org/10.1109/TIE.2012.2183841
  26. Yang, J., Li, S.H., Chen, X.S. and Li, Q. (2011), "Disturbance rejection of dead-time process using disturbance observer and model predictive control", Chem. Eng. Res. Des., 89(2), 125-135. https://doi.org/10.1016/j.cherd.2010.06.006
  27. Yuan, M., Ji, H.L., Qiu, J.H. and M, T.B. (2012), "Active control of sound transimission through a stiffened panel using a hybrid control strategy", J. Intel. Mat. Syst. Str., 23(7), 791-803. https://doi.org/10.1177/1045389X12439638
  28. Zhou, P., Chai, T.Y. and Zhao, J.H. (2012), "DOB design for nonminimum-phase delay systems and its application in multivariable MPC control", IEEE T. Circuits -II, 59(8), 525-529. https://doi.org/10.1109/TCSII.2012.2204844

Cited by

  1. On the rejection of internal and external disturbances in a wind energy conversion system with direct-driven PMSG vol.61, 2016, https://doi.org/10.1016/j.isatra.2015.12.014
  2. Active vibration control: considering effect of electric field on coefficients of PZT patches vol.16, pp.6, 2015, https://doi.org/10.12989/sss.2015.16.6.1091