Terminal Sliding Mode Control Based on New Quasi-Sliding Mode Function for Two Tanks Interacting System

Authors

  • Thanh Tung Pham Vinh Long University of Technology Education, Vietnam
  • Chi-Ngon Nguyen Can Tho University, Vietnam

Corressponding author's email:

tungpt@vlute.edu.vn

DOI:

https://doi.org/10.54644/jte.69.2022.1100

Keywords:

Terminal sliding mode control, New Quasi-sliding mode function, Chattering, Two tanks interacting, MATLAB/Simulink

Abstract

In this paper, a terminal sliding control based on a new quasi-sliding mode function is designed to control a liquid level in two tanks interacting system with external disturbance and uncertainty. This system is always in great demand in the chemical industry, petrochemical refining, water treatment, power generation, construction material production, food processing, automatic liquid dispensing and replenishment devices. The terminal sliding mode control (TSMC) schemes not only ensure that the system states arrive at the equilibrium point in a finite time but also offer some attractive properties, such as their fast response and higher precision than traditional sliding mode control. The new quasi-sliding mode function will eliminate high frequency oscillations phenomenon around a sliding surface (also known as chattering) of the sliding mode control. This phenomenon causes instability in the system, the power driver circuits are susceptible to overheating, resulting in damage. Simulation results in MATLAB/Simulink show that the proposed method is suitable to control the liquid level’s position of the two tanks interacting system with without the percent overshoot, the steady state error is eliminated, the settling time is 0.8518(s), the rising time achieves 0.4054(s), and the chattering phenomenon is eliminated.

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Author Biographies

Thanh Tung Pham, Vinh Long University of Technology Education, Vietnam

Thanh Tung Pham received BSc degree in EE at Mekong University in 2004, and MSc degree in Automation at Ho Chi Minh City University of Transportation in 2010. The degree of Ph.D. was awarded by the Ho Chi Minh City University of Transport, Vietnam, in 2019.

Since 2005, he has worked at Vinh Long University of Technical Education.

His research interests are modern control engineering, intelligent control and robot.

Chi-Ngon Nguyen, Can Tho University, Vietnam

Chi-Ngon Nguyen received his BSc and MSc degree in Electronic Engineering at Can Tho University and Ho Chi Minh City University of Technology, in 1996 and 2001, respectively. The degree of Ph.D. was awarded by the University of Rostock, Germany, in 2007.

Since 1996, he has worked at Can Tho University. Currently, he is an associate professor in automation and Vice President of the School Council of Can Tho University. His research interests are intelligent control, medical control, pattern recognition, classifications, speech recognition and computer vision.

References

X. Yu, Y. Feng and Z. Man, “Terminal Sliding Mode Control – An Overview”, in IEEE Open Journal of the Industrial Electronics Society, Vol. 2, pp. 36-52, 2021, doi: 10.1109/OJIES.2020.3040412.. DOI: https://doi.org/10.1109/OJIES.2020.3040412

Doan, Quang V., Anh T. Vo, Tien D. Le, Hee-Jun Kang, and Ngoc H.A. Nguyen, “A Novel Fast Terminal Sliding Mode Tracking Control Methodology for Robot Manipulators”, Applied Sciences, Vol. 10, No. 9, pp. 1 – 16, 2020, DOI: 10.3390/app10093010. DOI: https://doi.org/10.3390/app10093010

H. U. Suleiman, M. B. Mu’azu, T. A. Zarma, A. T. Salawudeen, S. Thomas and A. A. Galadima, “Methods of Chattering Reduction in Sliding Mode Control: A Case Study of Ball and Plate System”, 2018 IEEE 7th International Conference on Adaptive Science & Technology (ICAST), 2018, pp. 1-8, DOI: 10.1109/ICASTECH.2018.8506783. DOI: https://doi.org/10.1109/ICASTECH.2018.8506783

Minh-Duc Tran and Hee-Jun Kang, “Nonsingular Terminal Sliding Mode Control of Uncertain Second-Order Nonlinear Systems”, Mathematical Problems in Engineering, Volume 2015, pp. 1 – 9, 2015, DOI: 10.1155/2015/181737.. DOI: https://doi.org/10.1155/2015/181737

Wan L, Chen G, Sheng M, Zhang Y, Zhang Z, “Adaptive chattering-free terminal sliding-mode control for full-order nonlinear system with unknown disturbances and model uncertainties”, International journal of advanced robotic systems, Vol. 17, No. 3, pp. 1 – 11, 2020, DOI:10.1177/1729881420925295. DOI: https://doi.org/10.1177/1729881420925295

S Balamurugan, P Venkatesh and M Varatharajan, “Fuzzy sliding-mode control with low pass filter to reduce chattering effect: an experimental validation on Quanser SRIP”, Indian Academy of Sciences, Vol. 42, No. 10, pp. 1693–1703, 2017, DOI: https://doi.org/10.1007/s12046-017-0722-9. DOI: https://doi.org/10.1007/s12046-017-0722-9

Jinkun Liu, “Sliding mode control using MATLAB”, Academic Press, 2017.

Nguyen, D.G.; Tran, D.T.; Ahn, K.K., “Disturbance Observer-Based Chattering-Attenuated Terminal Sliding Mode Control for Nonlinear Systems Subject to Matched and Mismatched Disturbances”, Appl. Sci., Vol. 11, No. 17, pp. 1 – 23, 2021, DOI: https://doi.org/10.3390/app11178158. DOI: https://doi.org/10.3390/app11178158

Trinh Luong Mien, “Liquid Level Control of Coupled-Tank System Using Fuzzy-Pid Controller”, International Journal of Engineering Research & Technology (IJERT), Vol. 6, Issue 11, pp. 459 – 464, 2017.

S. B. Prusty, S. Seshagiri, U. C. Pati and K. K. Mahapatra, “Sliding mode control of coupled tank systems using conditional integrators”, IEEE/CAA Journal of Automatica Sinica, Vol. 7, No. 1, pp. 118-125, 2020, DOI: 10.1109/JAS.2019.1911831. DOI: https://doi.org/10.1109/JAS.2019.1911831

B. Amarendra Reddy, P. Vamsi Krishna, “Comparison of Second Order Sliding Mode Control Strategies for Coupled Tank System”, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol. 8, Issue-6S3, pp. 344 – 349, 2019.

Teena Toms and Hepsiba. D, “Comparison of PID Controller with a Sliding Mode Controller for a Coupled Tank System”, International Journal of Engineering Research & Technology (IJERT), Vol. 3, Issue. 2, pp. 151 – 154, 2014.

Miral Changela1, Ankit Kumar, “Designing a Controller for Two Tank Interacting System”, International Journal of Science and Research (IJSR), Vol. 4, Issue 5, pp. 589 – 593, 2015.

V.R. Ravi, M. Monica, S. Amuthameena, S.K. Divya, S. Jayashree and J. Varshini, “Sliding mode controller for two conical tank interacting level system”, Applied Mechanics and Materials, Vol. 573, pp. 273-278, 2014, DOI:10.4028/www.scientific.net/AMM.573.273. DOI: https://doi.org/10.4028/www.scientific.net/AMM.573.273

Mostafa A. Fellani, Aboubaker M. Gabaj, “PID Controller Design for Two Tanks Liquid Level Control System using Matlab”, International Journal of Electrical and Computer Engineering (IJECE), Vol. 5, No. 3, pp. 436 – 442, 2015, DOI:10.11591/ijece.v5i3.pp436-442. DOI: https://doi.org/10.11591/ijece.v5i3.pp436-442

Fayiz Abu Khadra and Jaber Abu Qudeiri, “Second Order Sliding Mode Control of the Coupled Tanks System”, Mathematical Problems in Engineering, Volume 2015, pp. 1 – 10, 2015, DOI:10.1155/2015/167852. DOI: https://doi.org/10.1155/2015/167852

Jinkun Liu and Xinhua Wang, “Advanced Sliding Mode Control for Mechanical Systems”, Springer, 2012.

Zhuang Kai-yu, Su Hong-ye, Zhang Ke-qin and Chu Jian, “Adaptive terminal sliding mode control for high-order nonlinear dynamic systems”, Journal of Zhejiang University Science, Vol.4, No.1, pp. 58 – 63, 2003, DOI: 10.1631/jzus.2003.0058. DOI: https://doi.org/10.1631/jzus.2003.0058

Yaogang Ding, Chongxin Liu, Shengmin Lu and Ziwei Zhu, “Hyperbolic Sliding Mode Trajectory Tracking Control of Mobile Robot”, Advances in Engineering Research, Volume 127, pp. 234 – 238, 2018, DOI:10.2991/eame-18.2018.49. DOI: https://doi.org/10.2991/eame-18.2018.49

Published

28-04-2022

How to Cite

[1]
T. T. Pham and C. N. Nguyen, “Terminal Sliding Mode Control Based on New Quasi-Sliding Mode Function for Two Tanks Interacting System”, JTE, vol. 17, no. 2, pp. 36–46, Apr. 2022.

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