Abstract
This paper describes the application of a self-tuning fuzzy sliding mode controller (STFSMC) to design the control signal of an electro-hydraulic actuator under standard road excitation based on ISO 8608. The proposed damper was designed to achieve effective vibration isolation with an actuator force. The proposed damper was incorporated into a quarter-car system through experiments for the subsequent dynamic analysis of the suspension system. A single-input single-output (SISO) fuzzy inference was strategically used to regulate the slope of a sliding surface. In addition, the fuzzy control methodology was applied to achieve self-tuning online output of the scale factor of the fuzzy sliding mode controller. The comfortable riding time and ride comfort level were also evaluated based on ISO 2631-1. Experimental results revealed that the proposed controller demonstrated evident improvements in vehicle vibration suppression and the ride quality in comparison with passive and fuzzy logic controller control systems.
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References
W. Sun, H. Gao, and O. Kaynak, “Finite frequency H∞ control for vehicle active suspension systems,” IEEE Transactions on Control Systems Technology, vol. 19, no. 2, pp. 416–422, March 2011.
M. A. Soliman, M. M. S. Kaldas, D. C. Barton, and P. C. Brooks, “Fuzzy-skyhook control for active suspension systems applied to a full vehicle model,” International Journal of Engineering and Technology Innovation, vol. 2, no. 2, pp. 85–96, April 2012.
N. P. Shirjoposht, I. Hassanzadeh, F. Hashemzadeh, and G. Alizadeh, “Optimal active suspension control based on a quarter-car model: An analytical solution,” International Journal of Vehicle Safety, vol. 5, no. 1, pp. 1–20, September 2010.
J. N. Strohm, D. Pech, and B. Lohmann, “A proactive nonlinear disturbance compensator for the quarter car,” International Journal of Control, Automation, and Systems, vol. 18, no. 10, pp. 2621–2629, 2020.
Q. Zeng, Y. J. Liu, and L. Liu, “Adaptive vehicle stability control of half-car active suspension systems with partial performance constraints,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 51, no. 3, pp. 1704–1714, March 2021.
H. W. J. Lee, Y. C. E. Lee, and K. H. Wong, “Differential equation approximation and enhancing control method for finding the PID gain of a quarter-car suspension model with state-dependent ODE,” Journal of Industrial and Management Optimization, vol. 16, no. 5, pp. 2305–2330, September 2020.
J. Mustefa and A. Prashanth, “Quarter car active suspension system design using optimal and robust control method,” International Research Journal of Modernization in Engineering Technology and Science, vol. 2, no. 3, pp. 197–207, March 2020.
C. M. Lin and C. F. Hsu, “Self-learning fuzzy sliding-mode control for antilock braking systems,” IEEE Transactions on Control Systems Technology, vol. 11, no. 2, pp. 273–278, March 2003.
K. Rajeswari and P. Lakshmi, “GA tuned distance based fuzzy sliding mode controller for vehicle suspension systems,” International Journal of Engineering and Technology, vol. 5, no. 1, pp. 36–47, January 2008.
M. Mahfouf and M. Jamei, “Rule-base generation via symbiotic evolution for a Mamdani-type fuzzy control system,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 218, no. 8, pp. 621–635, December 2004.
N. A. Holou, T. Lahdhiri, S. D. Joo, J. Weaver, and F. A. Abbas, “Sliding mode neural network inference fuzzy logic control for active suspension systems,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 2, pp. 234–246, April 2002.
H. Wang, Y. Lu, and Y. Tian, “Fuzzy sliding mode based active disturbance rejection control for active suspension system,” Proc. of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 234, pp. 449–457, June 2019.
A. K. Abdulzahra and T. Y. Abdalla, “Fuzzy sliding mode control scheme for vehicle active suspension system optimized by ABC algorithm,” International Journal of Intelligent Systems & Applications, vol. 11, no. 12, pp. 1–10, December 2019.
ISO 2631-1, Mechanical vibration and shock — evaluation of human exposure to whole-body vibration — Part 1: General requirements, International Organization for Standardization, 1997.
JASO C602, Automotive parts- Telescopic shock absorbers for suspension systems, Japanese Automotive Standards Organization, 2001.
T. H. S. Li and M. Y. Shieh, “Switching-type fuzzy sliding mode control of a cart-pole system,” Mechatronics, vol. 10, no. 1–2, pp. 91–109, February 2000.
N. Yagiz, Y. Hacioglu, and Y. Taskin, “Fuzzy sliding-mode control of active suspensions,” IEEE Transactions on Industrial Electronics, vol. 55, no. 11, pp. 3883–3890, November 2008.
N. S. Bhangal and K. A. Raj, “Fuzzy control of vehicle active suspension system,” International Journal of Mechanical Engineering and Robotics Research, vol. 5, no. 2, pp. 144–148, January 2016.
ISO 8608, Mechanical vibration — Road surface profiles — Reporting of measured data, International Organization for Standardization, 1995.
L. Sun, “Simulation of pavement roughness and IRI based on power spectral density,” Mathematics and Computers in Simulation, vol. 61, no. 2, pp. 77–88, January 2003.
K. Yabuta, K. Hidaka, and N. Fukushima, “Effects of suspension friction on vehicle riding comfort,” Vehicle System Dynamics, vol. 10, no. 2–3, pp. 85–91, July 2007.
Funding
This work was supported by Ministry of Science and Technology Taiwan (MOST 109-2221-E-011-051-MY2), National Taiwan University of Science and Technology and National Cheng-Kung University.
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Chun-Yu Hsiao received her M.S. and Ph.D. degrees in electrical engineering from National Taiwan University of Science and Technology, in 2007 and 2012, respectively. She currently has several inventions, new patents and journals. She was the first to win the HIWIN Master Thesis Award and HIWIN Doctoral Dissertation Award in the field of Electrical Engineering in Taiwan. In 2015, she was awarded the Motor Achievement Award-Nagamori Award. She is the first Ethnic Chinese and the youngest winner. She is currently an Assistant Professor with NTUST. Her research interests include science and technology of renewable energy, electric machinery, high performance motor design, lighting engineering, and fixture design.
Yu-Hsien Wang received his B.S. degree in mechanical engineer from Feng Chia University, Taiwan, and his M.S. and Ph.D. degrees in mechanical engineer from National Cheng Kung University, Taiwan, in 2006 and 2012, respectively. His current research interests include electron-hydraulic servo system, automatic control, data mining, image recognition, and machine learning.
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Hsiao, CY., Wang, YH. Evaluation of Ride Comfort for Active Suspension System Based on Self-tuning Fuzzy Sliding Mode Control. Int. J. Control Autom. Syst. 20, 1131–1141 (2022). https://doi.org/10.1007/s12555-020-0736-7
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DOI: https://doi.org/10.1007/s12555-020-0736-7