Original Article

Optimal Design for Anti-Skid Control of Electric Vehicles by Fuzzy Approach

  • Chenming Li ,
  • Han Zhao ,
  • Kang Huang ,
  • Ye-Hwa Chen
展开
  • 1. School of Mechanical Engineering, Hefei University of Technology, Hefei, China;
    2. AnHui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China;
    3. National Engineering Laboratory for Highway Maintenance Equipment, Chang'an University, Xi'an, China;
    4. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, USA

收稿日期: 2020-04-04

  修回日期: 2021-04-09

  网络出版日期: 2022-03-22

基金资助

Supported by China Scholarship Council (GrantNo. 201806690019),Fundamental Research Funds for Chinese Central Universities (GrantNo. 300102258306), and Anhui ProvincialNatural Science Foundation of China (GrantNo. 1908085QE194).

Optimal Design for Anti-Skid Control of Electric Vehicles by Fuzzy Approach

  • Chenming Li ,
  • Han Zhao ,
  • Kang Huang ,
  • Ye-Hwa Chen
Expand
  • 1. School of Mechanical Engineering, Hefei University of Technology, Hefei, China;
    2. AnHui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China;
    3. National Engineering Laboratory for Highway Maintenance Equipment, Chang'an University, Xi'an, China;
    4. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, USA

Received date: 2020-04-04

  Revised date: 2021-04-09

  Online published: 2022-03-22

Supported by

Supported by China Scholarship Council (GrantNo. 201806690019),Fundamental Research Funds for Chinese Central Universities (GrantNo. 300102258306), and Anhui ProvincialNatural Science Foundation of China (GrantNo. 1908085QE194).

摘要

In this paper, a new fuzzy approach is applied to optimal design of the anti-skid control for electric vehicles. The anti-skid control is used to maintain the wheel speed when there are uncertainties. The control is able to provide an appropriate torque for wheels when the vehicle is about to skid. The friction coefficient and the moments of inertia of wheels and motor are considered as uncertain parameters. These nonlinear, bounded and time-varying uncertainties are described by fuzzy set theory. The control is deterministic and is not based on IF-THEN fuzzy rules. Then, the optimal design for this fuzzy system and control cost is proposed by fuzzy information. In this way, the uniform boundedness and uniform ultimate boundedness are guaranteed and the average fuzzy performance is minimized. Numerical simulations show that the control can prevent vehicle skidding with the minimum control cost under uncertainties.

本文引用格式

Chenming Li , Han Zhao , Kang Huang , Ye-Hwa Chen . Optimal Design for Anti-Skid Control of Electric Vehicles by Fuzzy Approach[J]. Chinese Journal of Mechanical Engineering, 2021 , 34(5) : 125 -125 . DOI: 10.1186/s10033-021-00642-8

Abstract

In this paper, a new fuzzy approach is applied to optimal design of the anti-skid control for electric vehicles. The anti-skid control is used to maintain the wheel speed when there are uncertainties. The control is able to provide an appropriate torque for wheels when the vehicle is about to skid. The friction coefficient and the moments of inertia of wheels and motor are considered as uncertain parameters. These nonlinear, bounded and time-varying uncertainties are described by fuzzy set theory. The control is deterministic and is not based on IF-THEN fuzzy rules. Then, the optimal design for this fuzzy system and control cost is proposed by fuzzy information. In this way, the uniform boundedness and uniform ultimate boundedness are guaranteed and the average fuzzy performance is minimized. Numerical simulations show that the control can prevent vehicle skidding with the minimum control cost under uncertainties.

参考文献

[1] C Chan. The past, present and future of electric vehicle development. Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems, 1999, 1:11-13.
[2] S-I Sakai, Y Hori. Advantage of electric motor for anti skid control of electric vehicle. EPE Journal, 2001, 11(4):26-32.
[3] L Li, S Kodama, Y Hori. Anti-skid control for EV using dynamic model error based on back-emf observer. The 30th Annual Conference of IEEE Industrial Electronics Society, 2004, 2:1700-1704.
[4] B Subudhi, S S Ge. Sliding-mode-observer-based adaptive slip ratio control for electric and hybrid vehicles. IEEE Transactions on Intelligent Transportation Systems, 2012, 13(4):1617-1626.
[5] T Kanou, H Fujimoto. Slip-ratio based yaw-rate control with driving stiffness identification for electric vehicle. Proceedings of 9th International Symposium on Advanced Vehicle Control, 2008:786-791.
[6] S Li, K Nakamura, T Kawabe, et al. A sliding mode control for slip ratio of electric vehicle. 2012 Proceedings of SICE Annual Conference (SICE), 2012:1974-1979.
[7] H Fujimoto, T Saito, T Noguchi. Motion stabilization control of electric vehicle under snowy conditions based on yaw-moment observer. The 8th IEEE International Workshop on Advanced Motion Control, 2004:35-40.
[8] Y Hori. Future vehicle driven by electricity and control-research on four wheel motored. The 7th International Workshop on Advanced Motion Control Proceedings, 2002:1-14.
[9] D Yin, S Oh, Y Hori. A novel traction control for EV based on maximum transmissible torque estimation. IEEE Transactions on Industrial Electronics, 2009, 56(6):2086-2094.
[10] X Peng, H Zhe, G Guifang, et al. Anti-slip regulation of electric vehicle without speed sensor. 2009 IEEE International Symposium on Industrial Electronics, 2009:222-227.
[11] K Xu, G Xu, W Li, et al. Anti-skid for electric vehicles based on sliding mode control with novel structure. 2011 IEEE International Conference on Information and Automation, 2011:650-655.
[12] T Augustin, F P Coolen, G De Cooman, et al. Introduction to imprecise probabilities. John Wiley & Sons, New Jersey, 2014.
[13] D Dubois, H Prade. Possibility theory and its applications:Where do we stand? In:Springer handbook of computational intelligence, Springer, New York, 2015:31-60.
[14] R Kalman. Randomness reexamined. Modeling, Identification and Control, 1994, 15(3):141-151.
[15] L A Zadeh. Fuzzy sets. Information and Control, 1965, 8(3):338-353.
[16] J C R Alcantud, S Díaz. Rational fuzzy and sequential fuzzy choice. Fuzzy Sets and Systems, 2017, 315:76-98.
[17] A Khastan, Z Alijani. On the new solutions to the fuzzy difference equation xn+ 1=a+ bxn. Fuzzy Sets and Systems, 2019, 358:64-83.
[18] M Sugeno, G Kang. Structure identification of fuzzy model. Fuzzy Sets & Systems, 1988, 28(1):15-33.
[19] T Takagi, M Sugeno. Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 1985, (1):116-132.
[20] C S Tseng, B S Chen, H J Uang. Fuzzy tracking control design for nonlinear dynamic systems via TS fuzzy model. IEEE Transactions on Fuzzy Systems, 2001, 9(3):381-392.
[21] Z Zhang, L Chong, C Bing. New stability and stabilization conditions for T-S fuzzy systems with time delay. Fuzzy Sets & Systems, 2015, 263(C):82-91.
[22] X P Guan, C L Chen. Delay-dependent guaranteed cost control for TS fuzzy systems with time delays. IEEE Transactions on Fuzzy Systems, 2004, 12(2):236-249.
[23] Y-H Chen. A new approach to the control design of fuzzy dynamical systems. Journal of Dynamic Systems, Measurement, and Control, 2011, 133(6):1-9.
[24] J Han, Y-H Chen, X Zhao, et al. Optimal design for robust control of uncertain flexible joint manipulators:A fuzzy dynamical system approach. International Journal of Control, 2018, 91(4):937-951.
[25] H Sun, H Zhao, K Huang, et al. A fuzzy approach for optimal robust control design of an automotive electronic throttle system. IEEE Transactions on Fuzzy Systems, 2017, 26(2):694-704.
[26] S Gutman. Uncertain dynamical systems-A Lyapunov min-max approach. IEEE Transactions on Automatic Control, 1979, 24(3):437-443.
[27] G J Klir, B Yuan. Fuzzy sets and fuzzy logic:Theory and applications. Prentice Hall PTR, New Jersey, 1995.
[28] Y H Chen. Performance analysis of controlled uncertain systems. Dynamics and Control, 1996, 6(2):131-142.
[29] J Bezdek. Special issue on fuzziness vs. probability-the n-th round. IEEE Transactions on Fuzzy Systems, 1994, 2(1):1-42.
[30] J Huang, Y H Chen, A Cheng. Robust control for fuzzy dynamical systems:Uniform ultimate boundedness and optimality. IEEE Transactions on Fuzzy Systems, 2012, 20(6):1022-1031.
[31] H Sun, R Yu, Y H Chen, et al. Optimal design of robust control for fuzzy mechanical systems:performance-based leakage and confidence-index measure. IEEE Transactions on Fuzzy Systems, 2019, 27(7):1441-1455.
[32] J Xu, Y H Chen, H Guo. Fractional robust control design for fuzzy dynamical systems:An optimal approach. Journal of Intelligent and Fuzzy Systems, 2015, 29(2):553-569.
[33] M J Corless. Control of uncertain nonlinear systems. Journal of Dynamic Systems, Measurement, and Control, 1993, 115(2B):362-372.
[34] G Leitmann. On one approach to the control of uncertain systems. Proceedings of 1994 33rd IEEE Conference on Decision and Control, 1994, 3:2112-2116.
[35] J K Hale. Functional differential equations. In:Analytic theory of differential equations, Springer, New York, 1971:9-22.
[36] X Jiao, J Zhang, T Shen. An adaptive servo control strategy for automotive electronic throttle and experimental validation. IEEE Transactions on Industrial Electronics, 2014, 61(11):6275-6284.
[37] T D Gillespie. Fundamentals of vehicle dynamics. Technical report, SAE Technical Paper, 1992.
[38] Z Cai, C Ma, Q Zhao. Acceleration-to-torque ratio based anti-skid control for electric vehicles. Proceedings of 2010 IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, 2010:577-581.
[39] W Xie, D Cabecinhas, R Cunha, et al. Adaptive backstepping control of a quadcopter with uncertain vehicle mass, moment of inertia, and disturbances. IEEE Transactions on Industrial Electronics, 2021, 1-1,. https://doi.org/10.1109/TIE.2021.3055181
[40] A Guerine, A El Hami, L Walha, et al. Dynamic response of a spur gear system with uncertain friction coefficient. Advances in Engineering Software, 2018, 120:45-54.
[41] N S Bhangal. Design and performance of lqr and lqr based fuzzy controller for double inverted pendulum system. Journal of Image and Graphics, 2013, 1(3):143-146 (2013)
[42] A A Ghaffar, T Richardson. Model reference adaptive control and lqr control for quadrotor with parametric uncertainties. International Journal of Mechanical and Mechatronics Engineering, 2015, 9(2):244-250.
[43] J C Doyle, B A Francis, A R Tannenbaum. Feedback control theory. Courier Corporation, North Chelmsford, 2013.
文章导航

/