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Active vibration control of a flexible parallel manipulator 3RRR

Published online by Cambridge University Press:  19 May 2025

Renan Sanches Geronel*
Affiliation:
Department of Mechanical Engineering, São Carlos School of Engineering, University of São Paulo, Sao Carlos, Brazil
Gustavo Corrêa de Oliveira
Affiliation:
Department of Mechanical Engineering, São Carlos School of Engineering, University of São Paulo, Sao Carlos, Brazil
Gabriel Konda Rodrigues
Affiliation:
Department of Mechanical Engineering, São Carlos School of Engineering, University of São Paulo, Sao Carlos, Brazil
Maíra Martins da Silva
Affiliation:
Department of Mechanical Engineering, São Carlos School of Engineering, University of São Paulo, Sao Carlos, Brazil
*
Corresponding author: Renan Sanches Geronel; Email: renansanches@usp.br

Abstract

Parallel manipulators (PMs) are adopted in different fields due to their superior characteristics compared to serial manipulators. PMs with flexible links are likely more energy efficient and have high dynamic performance since they are lighter than those with rigid links. On the other hand, due to their lightweight design, the flexibility can lead to undesired deformation and vibration, decreasing the tracking trajectory and transient errors. This work proposes a two-loop active vibration control strategy, using strain gauges and piezoelectric lead zirconate (PZT) actuators, to compensate for the undesired effect of the flexibility. A pose control loop exploits the sliding mode control using data collected from images acquired by an oCam-5CRO-U camera, while the active vibration control loop uses strain gauge sensors and PZT actuators. Strain gauges are responsible for measuring the deformation of each link, and after being treated by digital filters, these signals are applied to the PZT actuator. Combining both loops allows the manipulator to be guided over the desired trajectory with positive vibration attenuation. The results reveal that the presence of the PZT on both sides of the flexible links increases the links’ rigidity, yielding overshoot and vibration reduction during the manipulator’s motion. In addition, the maximum peak is significantly attenuated, and the overall oscillations are also positively reduced when using the two-loop active control strategy. The root mean square error quantifies this attenuation, showing an average reduction of 30% in the corresponding step input directions. Therefore, the proposal improves the system performance by enhancing the tracking trajectory with lower vibrations.

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press

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References

Dwivedy, S. K. and Eberhard, P., “Dynamic analysis of flexible manipulators, a literature review,” Mech. Mach. Theory 41(7), 749777 (2006).CrossRefGoogle Scholar
Liu, X., Cai, Y., Liu, W., Zhang, L. and Hu, C., “Performance evaluation of a special 6-PUS type parallel manipulator,” Robotica 40(3), 505519 (2022).CrossRefGoogle Scholar
Firoozabadi, A. E., Ebrahimi, S. and Amirian, G., “Dynamic characteristics of a 3-RPR planar parallel manipulator with flexible intermediate links,” Robotica 33(9), 19091925 (2015).CrossRefGoogle Scholar
Zhang, X., Mills, J. K. and Cleghorn, W. L., “Multi-mode vibration control and position error analysis of parallel manipulator with multiple flexible links,” Trans. Can. Soc. Mech. Eng. 34(2), 197213 (2010).CrossRefGoogle Scholar
Kang, B. and Mills, J. K., “Dynamic modeling of structurally-flexible planar parallel manipulator,” Robotica 20(3), 329339 (2002).CrossRefGoogle Scholar
Geronel, R. S., de Oliveira, G. C. and da Silva, M. M., “Dual-loop control strategies for vibration attenuation of a flexible parallel manipulator,” J. Vib. Control, 113 (2024).Google Scholar
Colombo, F. T. and da Silva, M. M., “Two hybrid model-based control strategies for a flexible parallel planar manipulator,” Control Eng. Pract. 127, 19 (2022).CrossRefGoogle Scholar
Morlock, M., Burkhardt, M., Seifried, R. and Eberhard, P., “End-effector trajectory tracking of flexible link parallel robots using servo constraints,” Multibody Syst. Dyn. 56(1), 128 (2022).CrossRefGoogle Scholar
Eberhard, P. and Ansarieshlaghi, F., “Nonlinear Position Control of a Very Flexible Parallel Robot Manipulator,” Multibody Dynamics 2019: Proceedings of the 9th ECCOMAS Temática Conference on Multibody Dynamics , Vol 53. Springer International Publishing (2020) pp. 155162.Google Scholar
Morlock, M., Burkhardt, C. S. M. and Seifried, R., “Nonlinear state estimation for trajetory tracking of a flexible parallel manipulator,” IFAC-PapersOnLine 50(1), 34493454 (2017).CrossRefGoogle Scholar
Burkhardt, M., Seifried, R. and Eberhard, P., “Experimental studies of control concepts for a parallel manipulator with flexible links,” JMST 29(7), 26852691 (2015).Google Scholar
da Silva, M. M., Colombo, F. T., de Oliveira, G. C. and de Oliveira, L. P. R., “Hybrid vision/strain-based control strategy for a parallel manipulator with flexible links,” Mech. Mach. Theory 191, 105508 (2024).CrossRefGoogle Scholar
Valizadeh, A. and Shariatee, M., “PZT actuators’ effect on vibration control of the PRRRP 2-DOF flexible parallel manipulator,” Shock Vib. 2021(1), 113 (2021).Google Scholar
Zhang, X., Wang, X., Mills, J. K. and Cheghorn, W., “Dynamic Modeling and Active Vibration Control of a 3-PRR Flexible Parallel Manipulator with PZT transducers,” Proceedings of the 7th World Congress on Intelligent Control and Automation, (Chongqing, China, 2008) pp. 16.CrossRefGoogle Scholar
Zhang, X. P., Mills, J. K. and Cleghorn, W. L., “Experimental implementation on vibration mode control of a moving 3-PRR flexible parallel manipulator with multiple PZT transducers,” J. Vib. Control 16(13), 20352054 (2010).CrossRefGoogle Scholar
Zhang, Q., Li, C., Zhang, J. and Zhang, J., “Smooth adaptive sliding mode vibration control of a flexible parallel manipulator with multiple smart linkages in modal space,” J. Sound Vib. 411, 119 (2017).CrossRefGoogle Scholar
Liang, D., Song, Y., Sun, T. and Jin, X., “Dynamic modeling and hierarchical compound control of a novel 2-DOF flexible parallel manipulator with multiple actuation modes,” MSSP 103, 413439 (2018).Google Scholar
Zhang, Q., Li, C., Zhang, J. and Jin, J., “Active vibration control and coupled vibration analysis of a parallel manipulator with multiple flexible links,” Shock Vib. 2016, 119 (2016)Google Scholar
Zhang, Z., “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 13301334 (2000).CrossRefGoogle Scholar
Siciliano, B., Sciavicco, L., Villani, L. and Oriolo, G. R., Advanced Textbooks in Control and Signal Processing (Springer, Guildford, England, 2008).2009th Edition.Google Scholar
de Carvalho Fontes, J. V., Colombo, F. T., da Silva, N. B. F. and da Silva, M. M., “Model-based joint and task space control strategies for a kinematically redundant parallel manipulator,” Robotica 40(5), 15701586 (2021).CrossRefGoogle Scholar
Mohamed, Z., Martins, J., Tokhi, M., Sa da Costa, J. and Botto, M., “Vibration control of a very flexible manipulator system,” Control Eng. Pract. 13(3), 267277 (2005).CrossRefGoogle Scholar
Tumari, M. Z. M., Ahmad, M., Saealal, M., Zawawi, M. A., Mohamed, Z. and Yusop, N. M.,“The Direct Strain Feedback With PID Control Approach For a Flexible Manipulator: Experimental Results,” 2011 11th International Conference on Control, Automation and Systems, (Gyeonggi-do, Korea (South), 2011) pp. 712.Google Scholar