POSITION CONTROL OF HYDRAULIC SERVO CYLINDER FOR WAVE CHANNEL

Abstract

This study aims to achieve position control of the hydraulic cylinder for generating a regular waveform for tsunami, flood, and coastal structure interaction studies, and to measure the generated waveform in real time to determine its conformity to the desired shape. Today, wave channel systems safeguard aquatic ecosystems and play a crucial role in understanding and mitigating natural disasters, particularly in tsunami-prone areas. The wavemaker system in the wave channel is driven by a double-acting hydraulic servo cylinder. A black-box approach is chosen for model identification, validated with real measurement data. PI parameters were initially determined using the Ziegler-Nichols method and later optimized in MATLAB using the PID Tuner and Genetic Algorithm (GA). The optimized PI parameters Kp and Ki were found [0.2989 0.0023] for GA, compared to [0.2475, 0.14] for Ziegler-Nichols, and [0.23023 0.058609] for MATLAB/PID Tuner. Real-time wave measurements were recorded with a LabVIEW-based graphical interface. The step and sinusoidal responses of the hydraulic system were analyzed using three methods for determining PI parameters. GA-optimized PI achieved the best results, with ITAE improvements of 74.82% and 69.50%, RMSE improvements of 2.15% and 3.69%, and MAE improvements of 47.02% and 49.30% compared to Ziegler-Nichols and MATLAB/PID Tuner, respectively.

Keywords

• Closed Loop Systems
• Control Theory
• Fluid Flow Control
• Hydraulic System
• System Identification
• Wave Channel

References

1. S. Barstow, G. Mørk, D. Mollison, and J. Cruz, “The Wave Energy Resource,” Ocean Wave Energy, pp. 93–132, Dec. 2008, doi: 10.1007/978-3-540-74895-3_4.
2. O. T. Gudmestad, “Measured and predicted deep water wave kinematics in regular and irregular seas,” Marine Structures, vol. 6, no. 1, pp. 1–73, Jan. 1993, doi: 10.1016/0951-8339(93)90009-R.
3. O. Yagci, V. S. O. Kirca, and L. Acanal, “Wave attenuation and flow kinematics of an inclined thin plate acting as an alternative coastal protection structure,” Applied Ocean Research, vol. 48, pp. 214–226, Oct. 2014, doi: 10.1016/j.apor.2014.09.003.
4. A. Iafrati, T. Fujiwara, P. C. Mello, X. X. Zhang, and M. Drzewiecki, “Laboratory Modelling of Waves,” presented at International Conf. on Fluid Dynamics, Jun. 2021.
5. A. Iafrati, D. Drazen, L. Xiao, and J. Henning, “Laboratory Modelling of Waves: regular, irregular and extreme events,” Proc. Int. Conf. on Coastal Eng., pp. 11–12, Sep. 2017.
6. L. Zhu, L. Zhang, X. Li, and R. Zhou, “Maritime safety assessment in the 21st-century maritime silk road under risk factors coupling,” ICTIS 2019 - 5th International Conference on Transportation Information and Safety, pp. 411–415, Jul. 2019, doi: 10.1109/ICTIS.2019.8883809.
7. A. Iafrati et al., “The specialist committee on modelling on environmental conditions,” J.Maritime Eng., vol.65, no.2, pp. 757–758, 2017.
8. K. Aktas, “Wave Generatıon and Analysıs in the Laboratory Wave Channel to Conduct Experıments on the Numerıcally Modeled Spar Type Floatıng Wind Turbine,” M.S. thesis, İzmir Inst. of Technol., 2020.

9. K. Golcek, “Gemi ve açık deniz yapıları testlerine yönelik çoklu pedal kontrollü dalga üreteci tasarımı ve üretimi,” Yildiz Technical Univ., Accessed: Jul. 22, 2024. [Online]. Available: https://avesis.yildiz.edu.tr/yonetilen-tez/2101bf55-b8ae-46d0-9035-1a99176c2b92/gemi-ve-acik-deniz-yapilari-testlerine-yonelik-coklu-pedal-kontrollu-dalga-ureteci-tasarimi-ve-uretimi
10. C. Windt, A. Untrau, J. Davidson, E. J. Ransley, D. M. Greaves, and J. V. Ringwood, “Assessing the validity of regular wave theory in a short physical wave flume using particle image velocimetry,” Exp Therm Fluid Sci, vol. 121, p. 110276, Feb. 2021, doi: 10.1016/J.EXPTHERMFLUSCI.2020.110276.
11. A. A. Azman, M. H. F. Rahiman, N. N. Mohammad, M. H. Marzaki, M. N. Taib, and M. F. Ali, “Modeling and comparative study of PID Ziegler Nichols (ZN) and Cohen-Coon (CC) tuning method for Multi-tube aluminum sulphate water filter (MTAS),” Proceedings - 2017 IEEE 2nd International Conference on Automatic Control and Intelligent Systems (I2CACIS), 2017, vol. 2017-December, pp. 25–30, Dec. 2017, doi: 10.1109/I2CACIS.2017.8239027.
12. M. Tajjudin, N. Ishak, H. Ismail, M. H. F. Rahiman, and R. Adnan, “Optimized PID control using Nelder-Mead method for electro-hydraulic actuator systems,” Proceedings - 2011 IEEE Control and System Graduate Research Colloquium (ICSGRC), 2011, pp. 90–93,doi: 10.1109/ICSGRC.2011.5991836.
13. M. Drzewiecki and J. Guziński, “Fuzzy Control of Waves Generation in a Towing Tank,” Energies 2020, Vol. 13, Page 2049, vol. 13, no. 8, p. 2049, Apr. 2020, doi: 10.3390/EN13082049.
14. N. Ishak, M. Tajjudin, R. Adnan, H. Ismail, and Y. M. Sam, “Real-time application of self-tuning PID in electro-hydraulic actuator,” Proceedings - 2011 IEEE International Conference on Control System, Computing and Engineering (ICCSCE), 2011, pp. 364–368,doi: 10.1109/ICCSCE.2011.6190553.
15. Y. Fan, J. Shao, and G. Sun, “Optimized PID Controller Based on Beetle Antennae Search Algorithm for Electro-Hydraulic Position Servo Control System,” Sensors 2019, Vol. 19, Page 2727, vol. 19, no. 12, p. 2727, Jun. 2019, doi: 10.3390/S19122727.
16. R. Wang, C. Tan, J. Xu, Z. Wang, J. Jin, and Y. Man, “Pressure Control for a Hydraulic Cylinder Based on a Self-Tuning PID Controller Optimized by a Hybrid Optimization Algorithm,” Algorithms 2017, Vol. 10, Page 19, vol. 10, no. 1, p. 19, Jan. 2017, doi: 10.3390/A10010019.
17. L. A. Zadeh, “On the Identification Problem,” IEEE Transactions on Circuits and Systems I-regular Papers, vol. 3, no. 4, pp. 277–281, 1956, doi: 10.1109/TCT.1956.1086328.
18. M. F. Rahmat, S. M. Rozali, N. A. Wahab, Zulfatman, and K. Jusoff, “Modeling and controller design of an electro-hydraulic actuator system,” Am J Appl Sci, vol. 7, no. 8, pp. 1100–1108, 2010, doi: 10.3844/ajassp.2010.1100.1108.
19. 2015 IEEE International Symposium on Robotics and Intelligent Sensors (IRIS), IEEE, 2015.
20. İ. İstif, “Oransal Valf Ve Hidrolik Silindirden Oluşan Bir Sistemin Tanılanması Ve Konum Kontrolu,” 2015, Fen Bilimleri Enstitüsü. Accessed: Aug. 09, 2024. [Online]. Available: http://hdl.handle.net/11527/11573
21. National Instruments Corp., “cRIO-9074 - NI.” Accessed: Jul. 20, 2024. [Online]. Available: https://www.ni.com/en-tr/support/model.crio-9074.html
22. MathWorks®, “System Identification Toolbox - MATLAB.” Accessed: Jul. 22, 2024. [Online]. Available: https://www.mathworks.com/products/sysid.html
23. J. J. Vyas, B. Gopalsamy, and H. Joshi, “System identification,” in SpringerBriefs in Applied Sciences and Technology, Springer Verlag, 2019, pp. 47–51. doi: 10.1007/978-981-13-2547-2_4.
24. L. J. Puglisi, R. J. Saltaren, C. Garcia, and I. A. Banfield, “Robustness analysis of a PI controller for a hydraulic actuator,” Control Eng Pract, vol. 43, pp. 94–108, Oct. 2015, doi: 10.1016/j.conengprac.2015.06.010.
25. M. Shahrokhi and A. R. Zomorrodi, “Comparison of PID Controller Tuning Methods.” Accessed: Oct. 22, 2024. [Online]. Available: https://www.semanticscholar.org/paper/Comparison-of-PID-Controller-Tuning-Methods-Shahrokhi-Zomorrodi/b4ca1b81247f71593d3e60f4169f9307baa361d4