Intelligent Modelling of Electromechanical Piezoelectric Actuator

Authors

DOI:

https://doi.org/10.12928/biste.v8i2.15020

Keywords:

Particle Swarm Optimization, Parametric System Identification Technique, Real-Time Displacement Model, Electromechanical Material Affect, Piezoelectric Actuator

Abstract

This research models a piezoelectric actuator using ARX model with particle swarm optimization method. System modeling is a crucial step in engineering for understanding system behavior and implementing control strategies especially when employing intelligent and precise modeling techniques. This research contributes by introducing a new type of modeling in this field by employing the Autoregressive with eXogenous inputs (ARX) model and the estimation parameters calculated by PSO method. In current work, 0 to 35 V as sinusoidal frequency wave at 1.2 Hz supplied to piezoelectric actuator (PZT) to collect the vibration as an output for the system using an accelerometer sensor. Then, double integration was employed to collect the displacement data. One side of the PZT was fixed, while the other was left free. MATLAB program 2022b employed to build the ARX model and manage the particle swarm optimization (PSO) variables such as swarm size and iterations to obtain the transfer function that represents dynamic behavior through input and output readings. The results appeared effectively of PSO and representing the accurate transfer function in continuous and discrete times. The PZT validated by recorded the minimum mean square error (MSE) up to 3.447×10-6 and the system behavior was within the confident limit at 95 % before and after the modeling process. The developed model can be used to design a robust vibration controller in the future or for energy harvesting.

References

P. M. Ferreira, et al., "Embedded Sensors for Structural Health Monitoring: Methodologies and Applications Review," Sensors, vol. 22, no. 21, p. 8320, 2022, https://doi.org/10.3390/s22218320.

L. He, X. Yue, et al., "Research on variable stiffness asymmetrical resonant linear piezoelectric actuator based on multi-modal drive," Smart Materials and Structures, vol. 33, no. 1, pp. 015032–015032, 2023, https://doi.org/10.1088/1361-665x/ad1426.

J. Guan, J. Deng, et al., "A spatial 3-DOF piezoelectric robot and its speed-up trajectory based on improved stick-slip principle," Sensors and Actuators A Physical, vol. 374, pp. 115502–115502, 2024, https://doi.org/10.1016/j.sna.2024.115502.

H. Xue, et al., "Flexible, biodegradable ultrasonic wireless electrotherapy device based on highly self-aligned piezoelectric biofilms,” Science Advances, vol. 10, no. 22, 2024, https://doi.org/10.1126/sciadv.adn0260.

Z. Yuan, et al., "Piezo-actuated smart mechatronic systems: Nonlinear modeling, identification, and control," Mechanical Systems and Signal Processing, vol. 221, p. 111715, 2024, https://doi.org/10.1016/j.ymssp.2024.111715.

C. Li, C. You, et al., "Parameter Identification of the RBF-ARX Model Based on the Hybrid Whale Optimization Algorithm," IEEE Transactions on Circuits & Systems II Express Briefs, vol. 71, no. 5, pp. 2774–2778, 2024, https://doi.org/10.1109/tcsii.2024.3351848.

S. B. Lang and S. Muensit, "Review of some lesser-known applications of piezoelectric and pyroelectric polymers," Applied Physics A, vol. 85, no. 2, pp. 125–134, 2006, https://doi.org/10.1007/s00339-006-3688-8.

X. Gao, et al., "Piezoelectric Actuators and Motors: Materials, Designs, and Applications," Advanced Materials Technologies, vol. 5, no. 1, p. 1900716, 2019, https://doi.org/10.1002/admt.201900716.

M. Kanchan, et al., "Application of Modeling and Control Approaches of Piezoelectric Actuators: A Review," Technologies (Basel), vol. 11, no. 6, pp. 155–155, 2023, https://doi.org/10.3390/technologies11060155.

M. Febbo, et al., "Modelling of a Piezoelectric Beam with a Full-Bridge Rectifier Under Arbitrary Excitation: Experimental Validation," SSRN Electronic Journal, vol. 10, no. 2, pp. 311-324. 2022, https://doi.org/10.2139/ssrn.4176712.

J. Gan and X. Zhang, "A review of nonlinear hysteresis modeling and control of piezoelectric actuators," AIP Advances, vol. 9, no. 4, pp. 040702–040702, 2019, https://doi.org/10.1063/1.5093000.

X. Zhou, et al., “Review on piezoelectric actuators: materials, classifications, applications, and recent trends," Frontiers of Mechanical Engineering, vol. 19, no. 1, 2024, https://doi.org/10.1007/s11465-023-0772-0.

R. T. Momin, "Piezoelectric Sensors for Real-time Monitoring and Quality Control in Additive Manufacturing," arXiv preprint arXiv:2310.14321, 2023, https://doi.org/10.48550/arxiv.2310.14321.

S. Wang, et al., "A survey of piezoelectric actuators with long working stroke in recent years: Classifications, principles, connections and distinctions," Mechanical Systems and Signal Processing, vol. 123, pp. 591–605, 2019, https://doi.org/10.1016/j.ymssp.2019.01.033.

Z. P. Zhang, et al., "Piezoelectric friction–inertia actuator—a critical review and future perspective," The International Journal of Advanced Manufacturing Technology, vol. 62, no. 5–8, pp. 669–685, 2012, https://doi.org/10.1007/s00170-011-3827-z.

K. Spanner and B. Koc, "Piezoelectric Motors, an Overview," Actuators, vol. 5, no. 1, p. 6, 2016, https://doi.org/10.3390/act5010006.

M. Hunstig, "Piezoelectric Inertia Motors—A Critical Review of History, Concepts, Design, Applications, and Perspectives, " Actuators, vol. 6, no. 1, p. 7, 2017, https://doi.org/10.3390/act6010007.

F. Chen, Q. Zhang, Y. Gao, and W. Dong,"A Review on the Flexure-Based Displacement Amplification Mechanisms," IEEE Access, vol. 8, pp. 205919–205937, 2020, https://doi.org/10.1109/access.2020.3037827.

X. Tian, et al., "A review on piezoelectric ultrasonic motors for the past decade: Classification, operating principle, performance, and future work perspectives," Sensors and Actuators A-physical, vol. 306, p. 111971, 2020, https://doi.org/10.1016/J.SNA.2020.111971.

G. Papazoglou and P. Biskas, “Review and Comparison of Genetic Algorithm and Particle Swarm Optimization in the Optimal Power Flow Problem,” Energies, vol. 16, no. 3, p. 1152, 2023, https://doi.org/10.3390/en16031152.

Saad-Eddine Chafi, Younes Balboul, M. Fattah, S. Mazer, and Moulhime El Bekkali, “Enhancing Resource Allocation in Edge and Fog-Cloud Computing with Genetic Algorithm and Particle Swarm Optimization,” Intelligent and converged networks, vol. 4, no. 4, pp. 273–279, 2023, https://doi.org/10.23919/icn.2023.0022.

H. Kamel and A. A. El-Kashef, "Comparative Analysis of Particle Swarm Optimization (PSO) and Genetic Algorithms (GA) for Optimal Radar Coverage Area Maximization," 2025 15th International Conference on Electrical Engineering (ICEENG), pp. 1-6, 2025, https://doi.org/10.1109/iceeng64546.2025.11031334.

H. Li, Y. Tong, and C. Li, "Modeling and Control of a Linear Piezoelectric Actuator," Actuators, vol. 13, no. 2, pp. 55–55, 2024, https://doi.org/10.3390/act13020055.

J. Shields and E. Konefat. Modeling of Piezoceramic. Piezoelectric Actuators: Principles, Design, Experiments and Applications. 2021, https://doi.org/10.5772/intechopen.96727.

P. Ge and Musa Jouaneh, "Modeling hysteresis in piezoceramic actuators," Precision Engineering, vol. 17, no. 3, pp. 211–221, 1995, https://doi.org/10.1016/0141-6359(95)00002-u.

H. M. S. Georgiou and R. B. Mrad, "Electromechanical Modeling of Piezoceramic Actuators for Dynamic Loading Applications," Journal of Dynamic Systems, Measurement, and Control, vol. 128, no. 3, pp. 558–567, 2005, https://doi.org/10.1115/1.2234486.

M. N. Maslan, M. Mailah, and I. Z. M. Darus, "Identification and Control of a Piezoelectric Bender Actuator, " 2012 Third International Conference on Intelligent Systems Modelling and Simulation, pp. 461–466, 2012, https://doi.org/10.1109/isms.2012.100.

S. Jing, "Identification of the ARX Model with Random Impulse Noise Based on Forgetting Factor Multi-error Information Entropy," Circuits Systems and Signal Processing, vol. 41, no. 2, pp. 915–932, 2021, https://doi.org/10.1007/s00034-021-01809-3.

H. M. Yatim, et al., "Two-phase heat transfer microchannel system identification with Particle Swarm Optimization (PSO) approach," International Journal of Air-Conditioning and Refrigeration, vol. 31, no. 1, 2023, https://doi.org/10.1007/s44189-023-00029-5.

Downloads

Published

2026-04-28

How to Cite

[1]
M. J. Mohammed, A. Abtan, and R. Jawad, “Intelligent Modelling of Electromechanical Piezoelectric Actuator”, Buletin Ilmiah Sarjana Teknik Elektro, vol. 8, no. 2, pp. 504–514, Apr. 2026.

Issue

Section

Article