Time-Delayed Vibration Control of a Rotating Flexible Manipulator Based on Model Output Prediction Feedback
Publication: Journal of Aerospace Engineering
Volume 29, Issue 4
Abstract
This paper is concerned with vibration control of a single-link flexible beam structure. The proposed beam is controlled by a servo motor through a harmonic gear reducer. After obtaining the models by system identification, a time-delayed optimal controller based on model output prediction and optimal control theory was designed to compensate the unknown time delay in the controlled system. Then, experiments on the proposed control scheme were conducted in a set-point vibration control process. The experimental results demonstrate that the performance of vibration suppression can be improved substantially when applying the proposed method in the presence of time delay compensation, as compared to the traditional proportional and derivative (PD) controller. The accuracy of models was validated according to experimental results, and the factors that influence the output prediction accuracy are analyzed in this paper.
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Acknowledgments
This work was partially supported by the National Natural Science Foundation of China under Grants 51175181, partially supported by the Fundamental Research Funds for the Central Universities, SCUT (2014ZG0019), and in part supported by State Key Laboratory of Robotics Foundation and National Laboratory of Space Intelligent Control. The authors gratefully acknowledge these support agencies.
References
Alhazza, K. A., Nayfeh, A. H., and Daqaq, M. F. (2009). “On utilizing delayed feedback for active-multimode vibration control of cantilever beams.” J. Sound Vib., 319(3–5), 735–752.
Cai, G. P., Huang, J. Z., and Yang, S. X. (2003). “An optimal control method for linear systems with time delay.” Comput. Struct., 81(15), 1539–1546.
Chatterjee, S. (2008). “Vibration control by recursive time-delayed acceleration feedback.” J. Sound Vib., 317(1–2), 67–90.
Choi, S. B., Seong, M. S., and Ha, S. H. (2013). “Accurate position control of a flexible arm using a piezoactuator associated with a hysteresis compensator.” Smart Mater. Struct., 22(4), 045009.
Dong, X. J., Meng, G., and Peng, J. C. (2006). “Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and experimental study.” J. Sound Vib., 297(3–5), 680–693.
Gawronski, W. K. (2004). Advanced structure dynamics and active control of structures, Springer, New York.
Jalili, N., and Olgac, N. (1999). “Multiple delayed resonator vibration absorbers for multi-degree-of-freedom mechanical structures.” J. Sound Vib., 223(4), 567–585.
Kim, S. M., and Brennan, M. J. (2013). “Active vibration control using delayed resonant feedback.” Smart Mat. Struct., 22(9), 095013.
Klein, E. J., and Ramirez, W. F. (2001). “State controllability and optimal regulator control of time-delayed systems.” Int. J. Control, 74(3), 281–289.
Kwon, W. H., and Pearson, A. E. (1980). “Feedback stabilization of linear systems with delayed control.” IEEE Trans. Autom. Control, 25(2), 266–269.
Landau, I. D., Landau, Y. D., and Zito, G. (2006). Digital control systems: Design, identification and implementation, Springer, London.
Liu, K., Chen, L., and Cai, G. (2011). “Experimental study of delayed positive feedback control for a flexible beam.” Theor. Appl. Mech. Lett., 1(6), 063003.
Manitius, A. Z., and Olbrot, A. W. (1979). “Finite spectrum assignment problem for systems with delays.” IEEE Trans. Autom. Control, 24(4), 541–552.
Miroslav, K. (2010). Delay compensation for nonlinear, adaptive, and PDE systems, Springer, Boston.
Olgac, N., and Sipahi, R. (1998). “Optimum delayed feedback vibration absorber for MDOF mechanical structures.” Proc., 37th IEEE Conf. on Decision and Control Tampa, IEEE, 4734–4739.
Parameswaran, A. P., Ananthakrishnan, B., and Gangadharan, K. V. (2015). “Modeling and design of field programmable gate array based real time robust controller for active control of vibrating smart system.” J. Sound Vib., 345, 18–33.
Parameswaran, A. P., and Gangadharan, K. (2015). “Parametric modeling and FPGA based real time active vibration control of a piezoelectric laminate cantilever beam at resonance.” J. Vib. Control, 21(14), 2881–2895.
Qiu, Z. C., Han, J. D., and Liu, J. (2015). “Experiments on fuzzy sliding mode variable structure control for vibration suppression of a rotating flexible beam.” J. Vib. Control, 21(2), 343–358.
Qiu, Z. C., Wu, H., and Zhang, D. (2009). “Experimental researches on sliding mode active vibration control of flexible piezoelectric cantilever plate integrated gyroscope.” Thin Walled Struct., 47(8), 836–846.
Schenker, B., and Agarwal, M. (1998). “Output prediction in systems with backlash.” Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng., 212(1), 17–26.
Shin, H. C., and Choi, S. B. (2001). “Position control of a two-link flexible manipulator featuring piezoelectric actuators and sensors.” Mechatronics, 11(6), 707–729.
Tadmor, G. (2000). “The standard problem in systems with a single input delay.” IEEE Trans. Autom. Control, 45(3), 382–397.
Takács, G., and Ilkiv, B. R. (2012). Model predictive vibration control, Springer, London.
Wills, A. G., Bates, D., and Fleming, A. J., Ninness, B., and Moheimani, S. R. (2008). “Model predictive control applied to constraint handling in active noise and vibration control.” IEEE Trans. Control Syst. Technol., 16(1), 3–12.
Yue, D., and Han, Q. L. (2005). “Delayed feedback control of uncertain systems with time-varying input delay.” Automatica, 41(2), 233–240.
Zhang, B. L., and Tang, G. Y. (2013). “Active vibration control of offshore steel jacket platforms using delayed feedback.” J. Sound Vib., 332(22), 5662–5677.
Zhou, B., Lin, Z., and Duan, G. (2012). “Truncated predictor feedback for linear systems with long time-varying input delays.” Automatica, 48(10), 2387–2399.
Zhou, J., Wen, C., and Wang, W. (2009). “Adaptive backstepping control of uncertain systems with unknown input time-delay.” Automatica, 45(6), 1415–1422.
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© 2015 American Society of Civil Engineers.
History
Received: Jun 24, 2014
Accepted: Sep 30, 2015
Published online: Dec 22, 2015
Discussion open until: May 22, 2016
Published in print: Jul 1, 2016
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