Generic placeholder image

Recent Patents on Engineering

Editor-in-Chief

ISSN (Print): 1872-2121
ISSN (Online): 2212-4047

Review Article

Overview of Key Technologies for Torque Ripple Suppression in Four- Wheel In-Wheel Motor Drive Electric Vehicles

Author(s): Pan Wang*, Xiaobin Fan and Shuaiwei Zhu

Volume 17, Issue 2, 2023

Published on: 22 June, 2022

Article ID: e180322202354 Pages: 21

DOI: 10.2174/1872212116666220318094812

Price: $65

conference banner
Abstract

Aims and Objectives: The stability control of the four-wheel hub motor-driven electric vehicle is of great significance to the safety of the driver during the driving process, and the torque fluctuation is an important factor that affects the stability control of the vehicle. Therefore, this paper reviews the key technologies and difficulties of torque ripple suppression for in-wheel motor-driven electric vehicles from two aspects: rational design of the in-wheel motor structure to suppress the torque fluctuation of the motor and the in-wheel motor torque control distribution strategy.

Methods: Through the analysis of the structural characteristics of the motor, the structural optimization design of the pole slot, cogging, core shape, and magnetic pole shape is used to suppress the torque fluctuation of the motor, and the methods of previous scholars are unified and explained; From the motor control strategy, summed up the scholars in the motor torque ripple suppression method strategy; From the perspective of motor torque control allocation strategy, a series of related strategies are elaborated. The previous researchers proposed the neural network PID electronic differential speed torque comprehensive control strategies, electronic differential control algorithms based on sliding mode control, automotive electronic stability program control algorithms based on hierarchical coordinated control strategies, and other control strategies and algorithms.

Results: Based on the theoretical model, the theoretical model is verified and tested through software simulation or test platform. The errors of all simulation and test results in the literature and the theoretical model are within the acceptable range.

Conclusion: The theoretical model has been verified on the software simulation or test platform, which proves the feasibility and effectiveness of the theoretical model, thereby suppressing torque fluctuations and improving the stability of the vehicle. Finally, the development direction of the key technology of torque ripple suppression for four-wheel in-wheel motor-driven electric vehicles has been prospected.

Keywords: Four-wheel hub motor-driven electric vehicle, stability, torque ripple suppression, torque distribution, motor torque distribution strategy, vehicle.

Graphical Abstract

[1]
China energy development report, 2020., China Energy Research Association, 2020.
[2]
X. Lu, and F. Wen, "Overview of distributed drive electric vehicle configuration", China New Technology and New Products, no. 22, pp. 84-85, 2014.
[3]
S-K. Lee, G-H. Kang, and J. Hur, "Finite element computation of magnetic mbration sources in 100 kW two fractional slot interior permanent magnet machines for ship", IEEE Trans. Magn., vol. 48, no. 2, pp. 867-870, 2012.
[http://dx.doi.org/10.1109/TMAG.2011.2176323]
[4]
Z.Q. Zhu, and D. Howe, "Halbach permanent magnet machines and applications a review", IEEE Proceedings of Electric Power Applications, vol. 148, no. 4, pp. 299-308, 2001.
[http://dx.doi.org/10.1049/ip-epa:20010479]
[5]
S.H. Han, T.M. Jahns, and Z.Q. Zhu, "Design tradeoffs between stator core loss and torque ripple in IPM machines", IEEE Trans. Ind. Appl., vol. 46, no. 1, pp. 187-195, 2010.
[http://dx.doi.org/10.1109/TIA.2009.2036664]
[6]
X. Wang, and Z. Li, "Analysis of unbalanced magnetic tension of permanent magnet synchronous motor with fractional slot winding", Micromotor, vol. 46, no. 2, pp. 9-13, 2013.
[7]
L. Li, J. Zhang, C. Zhang, and J. Yu, "Research on electromagnetic and thermal issue of high-efficiency and high-power-density outerrotor motor", IEEE Trans. Appl. Supercond., vol. 26, no. 4, pp. 1-5, 2016.
[http://dx.doi.org/10.1109/TASC.2016.2542192]
[8]
H. Jun, H. Seol, and H. Lee, "Design of high power density TVC driving motor for space launch vehicle using halbach magnet array structure", IEEE Trans. Appl. Supercond., vol. 28, no. 3, pp. 1-5, 2018.
[http://dx.doi.org/10.1109/TASC.2018.2797077]
[9]
B. WU, Y. LI, and D. ZHU, "Optimal design of a highpower density PM motor with discrete halbach array and concentrated windings", 2011 International Conference on Electrical Machines and Systems, pp. 1-5, 2011.
[10]
W.Q. Chu, and Z.Q. Zhu, "On-load cogging torque calculation in permanent magnet machines", IEEE Trans. Magn., vol. 49, no. 6, pp. 2982-2989, 2013.
[http://dx.doi.org/10.1109/TMAG.2012.2236348]
[11]
D. Wu, and Z.Q. Zhu, "Design tradeoff between cogging torque and torque ripple in fractional slot surface-mounted permanent magnet machines", IEEE Trans. Magn., vol. 51, no. 11, pp. 1-4, 2015.
[http://dx.doi.org/10.1109/TMAG.2015.2436714]
[12]
S.K. Lee, G.H. Kang, J. Hur, and B-W. Kim, "Stator and rotor shape designs of interior permanent magnet type brushless Dc motor for reducing torque fluctuation", IEEE Trans. Magn., vol. 48, no. 11, pp. 4662-4665, 2012.
[http://dx.doi.org/10.1109/TMAG.2012.2201455]
[13]
S.M. Jang, H.I. Park, J.Y. Choi, K-J. Ko, and S-H. Lee, "Magnet pole shape design of permanent magnet machine for minimization of torque ripple based on electromagnetic field theory", IEEE Trans. Magn., vol. 47, no. 10, pp. 3586-3589, 2011.
[http://dx.doi.org/10.1109/TMAG.2011.2151846]
[14]
Z. Wu, G. Li, and Z. Yuan, "Compensation control simulation of permanent magnet synchronous motor magnetic field harmonic suppression", J. Tongji Uni, no. 03, pp. 468-472, 2012.
[15]
C. Yu, S. Niu, S.L. Ho, and W.N. Fu, "Imbalanced force in permanent magnet brushless motors with magnetic and/or electric asymmetries", IEEE Trans. Magn., vol. 50, no. 11, pp. 1-4, 2014.
[http://dx.doi.org/10.1109/TMAG.2014.2329951]
[16]
H. Yang, and Y. Chen, "Influence of radial force harmonics with low mode number on electromagnetic vibration of PMSM", IEEE Trans. Energ. Convers., vol. 29, no. 1, pp. 38-45, 2014.
[http://dx.doi.org/10.1109/TEC.2013.2290304]
[17]
M.S. Islam, R. Islam, and T. Sebastian, "Noise and vibration characteristics of permanent magnet synchronous motors using electromagnetic and structural analyses", IEEE Trans. Ind. Appl., vol. 50, no. 5, pp. 3214-3222, 2014.
[http://dx.doi.org/10.1109/TIA.2014.2305767]
[18]
S.S.R. Bonthu, M.T.B. Tarek, and S. Choi, "Optimal torque ripple reduction technique for outer rotor permanent magnet synchronous reluctance motors", IEEE Trans. Energ. Convers., vol. 33, no. 3, pp. 1184-1192, 2018.
[http://dx.doi.org/10.1109/TEC.2017.2781259]
[19]
Z. Zhang, Z. Jiao, and H. Xia, "Research on the effect of auxiliary slots on the cogging torque on the rotor surface of permanent magnet synchronous motors", Mechatron.Eng., vol. 36, no. 12, pp. 1342-1346, 2019.
[20]
T. Xu, X. Wang, and M. Tian, "Research on cogging torque weakening measures of asynchronous start permanent magnet synchronous motor based on changing stator cogging parameters", Trans. China Electrotech. Soc., vol. 31, no. 23, pp. 1-8, 2016.
[21]
H. Zhao, Y.U. Shenbo, and F. Sun, "Harmonic suppression and torque ripple reduction of a high-speed permanent magnet spindle motor", IEEE Access, vol. 9, pp. 51695-51702, 2021.
[http://dx.doi.org/10.1109/ACCESS.2021.3070010]
[22]
P. Ma, Q. Wang, Y. Li, S. Jiang, and M. Zhao, "Research on torque ripple suppression of the slotted limited angle torque motor", IEEE Trans. Magn., vol. 57, no. 2, pp. 1-6, 2021.
[http://dx.doi.org/10.1109/TMAG.2020.3006018]
[23]
D. Song, J. Wu, X. Zeng, and H. Chen, "A Method of Torque Ripple Suppression Control System Based on Vehicle Permanent Magnet Synchronous Motor", China Patent, 2022.
[24]
Milo. De Soricellis, and Rapp. Holger, "Current and voltage shaping method via modified d–q transformation for the torque ripple compensation in PMSMs", IET"", Pow. Electron., vol. 12, no. 5, pp. 1021-1032, 2019.
[25]
C. Schnurr, S. Hohmann, and J. Kolb, "Non-linear MPC for winding loss optimized torque control of anisotropic PMSM", J. Eng. (Stevenage), vol. 2019, no. 17, pp. 4252-4256, 2019.
[http://dx.doi.org/10.1049/joe.2018.8143]
[26]
Z. Qiu, "Control method to suppress commutation torque fluctuation of brushless DC motor", Heilongjiang Electric Power, vol. 41, no. 4, pp. 302-312, 2019.
[27]
R. Peng, G. Xin, and D. Liu, "Harmonic current suppression method for dual three-phase permanent magnet synchronous motors", IEEE Access, vol. 7, pp. 143888-143898, 2019.
[http://dx.doi.org/10.1109/ACCESS.2019.2942985]
[28]
S.M. Shakouhi, M. Mohamadian, and E. Afjei, "Torque ripple minimisation control method for a fourphase brushless DC motor with non-ideal back-electromotive force", IET Electr. Power Appl., vol. 7, no. 5, pp. 360-368, 2013.
[http://dx.doi.org/10.1049/iet-epa.2012.0269]
[29]
T. Shi, "A brushless DC motor commutation torque ripple suppression strategy based on model-free predictive control", Transactions of the Chinese Society of Electrical Engineering, pp. 54-61, 2016.
[30]
Z. Ting, J. Chen, and Z. Zheng, "Iterative learning control permanent magnet synchronous motor torque ripple suppression with relaxation factor", Micro Motor, vol. 53, no. 7, pp. 84-91, 2020.
[31]
S. Jiang, and Z. Zhong, "Coupling harmonic voltages considered harmonic currents injection method for torque ripple reduction", J. Electr. Eng. Technol., vol. 16, no. 4, pp. 2119-2130, 2021.
[http://dx.doi.org/10.1007/s42835-021-00760-2]
[32]
Z. Wu, Z. Yang, K. Ding, and G. He, "Order-domain-based harmonic injection method for multiple speed harmonics suppression of PMSM", IEEE Trans. Power Electron., vol. 36, no. 4, pp. 447-4487, 2021.
[33]
Akay, and P. Lefley, "Torque ripple reduction method in a multiphase pm machine for no-fault and open-circuit fault-tolerant conditions", Energies, vol. 14, no. 9, p. 2615, 2021.
[34]
H. Liu, D. Wang, X. Yi, and F. Meng, "Torque ripple suppression under open-phase fault conditions in a five-phase induction motor with harmonic injection", IEEE J. Emerg. Sel. Top. Power Electron., vol. 9, no. 1, pp. 274-288, 2019.
[http://dx.doi.org/10.1109/JESTPE.2019.2952374]
[35]
X. Li, H. Yuan, W. Chen, and T. Shi, "Commutation Torque Ripple Suppression Method of Brushless DC Motor Driver with Small Capacitor", China Patent, 2022.
[36]
W. Chen, J. Deng, X. Li, and T. Shi, "Commutation Torque Ripple Suppression Method of Brushless DC Motor Based on Multi - output Converter", China Patent, 2022.
[37]
Haddoun, M.E.H. Benbouzid, D. Diallo, R. Abdessemed, J. Ghouili, and K. Srairi, "Modeling, analysis, and neural network control of an EV electrical differential", IEEE Trans. Ind. Electron., vol. 55, no. 6, pp. 2286-2294, 2008.
[http://dx.doi.org/10.1109/TIE.2008.918392]
[38]
L. Jin, Q. Wang, and X. Zhou, "Electronic differential control strategy and simulation for electric wheel drive vehicles", J. Jilin Uni.: Eng. Edit., vol. S1, 2008.
[39]
Z. Yan’e, and J. Zhang, "Research on the electronic differential system of electric vehicle driven by in-wheel motor", Xitong Fangzhen Xuebao, vol. 20, no. 18, pp. 4767-4771, 2008.
[40]
F.J. Perez-Pinal, I. Cervantes, and A. Emadi, "Stability of an electric differential for traction applications", IEEE Trans. Vehicular Technol., vol. 58, no. 7, pp. 3224-3233, 2009.
[http://dx.doi.org/10.1109/TVT.2009.2013473]
[41]
Z. Li, S. Dong, and K. Luo, "Electronic differential control for steering vehicle steering independently driven by four-wheel hub motors", J. Beijing Inst. Technol., vol. 30, no. 8, pp. 901-905, 2010.
[42]
B. Tabbache, A. Kheloui, and M.E.H. Benbouzid, "An adaptive electric differential for electric vehicles motion stabilization", IEEE Trans. Vehicular Technol., vol. 60, no. 1, pp. 104-110, 2010.
[http://dx.doi.org/10.1109/TVT.2010.2090949]
[43]
Y. Chen, and J. Wang, "Design and evaluation on electric differentials for over actuated electric ground vehicles with four independent in-wheel motors", IEEE Trans. Vehicular Technol., vol. 61, no. 4, pp. 1534-1542, 2012.
[http://dx.doi.org/10.1109/TVT.2012.2187940]
[44]
C. Dong, X. Yin, and H. Liang, "Research on electronic differential control of dual-motor rear-wheel drive hybrid electric vehicle", Automot. Eng., no. 1, pp. 46-50, 2013.
[45]
Y. Yan, and S. Peng, "Analysis of influencing factors of electronic differential control of rear drive electric wheel vehicles", Automot. Eng., vol. 36, no. 2, pp. 210-215, 2014.
[46]
M. Chae, Y. Hyun, K. Yi, and K. Nam, "Dynamic handling characteristics control of an in-wheel-motor driven electric vehicle based on multiple sliding mode control approach", IEEE Access, vol. 7, pp. 132448-132458, 2019.
[http://dx.doi.org/10.1109/ACCESS.2019.2940434]
[47]
Q. Meng, T. Zhao, C. Qian, Z. Sun, and P. Ge, "Integrated stability control of AFS and DYC for electric vehicle based on non-smooth control", Int. J. Syst. Sci., vol. 49, no. 7, pp. 1518-1528, 2018.
[http://dx.doi.org/10.1080/00207721.2018.1460410]
[48]
X. Zhang, and D.G. hlich, "Integrated traction control strategy for distributed drive electric vehicles with improvement of economy and longitudinal driving stability", Energies, vol. 10, no. 1, p. 126, 2017.
[http://dx.doi.org/10.3390/en10010126]
[49]
X. Zhang, K. Wei, X. Yuan, and Y. Tang, "Optimal torque distribution for the stability improvement of a four-wheel distributeddriven electric vehicle using coordinated control", J. Comput. Nonlinear Dyn., vol. 11, no. 5, p. 051017, 2016.
[http://dx.doi.org/10.1115/1.4033004]
[50]
S. Zheng, X. Qi, and F. Qing, "Research on steering performance control of in-wheel motor-driven electric vehicles", Modern Electro. Technol., vol. 42, no. 13, pp. 117-121, 2019.
[51]
Y. Shen, O. Jian, and Y. Echuan, "Research on yaw stability of electric vehicles based on torque optimal distribution", Zhongguo Jixie Gongcheng, vol. 28, no. 14, pp. 1664-1668, 2017.
[52]
G. Cong, Z. Xin, and J. Tao, "Side slip angle observation and stability control of a pure electric vehicle driven by in-wheel motors", J. Beijing Jiaotong Uni., vol. 43, no. 4, p. 96, 2019.
[53]
L. Luo, "Distributed drive electric vehicle state parameter estimation and torque distribution control", MS thesis, Jiangxi University of Science and Technology, 2018.
[54]
L. Jun, Y. Su, and H. Kui, "Research on anti-skid control strategy of four-wheel drive hybrid electric vehicle", Automot. Eng., vol. 39, no. 3, pp. 296-303, 2017.
[55]
C. Rui, X. Song, and S. He, "Automatic disturbance rejection control for yaw rate of four-wheel hub electric vehicle", Jisuanji Celiang Yu Kongzhi, vol. 24, no. 9, pp. 95-98, 2016.
[56]
G. Yang, X. Ma, and L. Zili, "Dual steering direct yaw moment control for in-wheel motor-driven vehicles", Acta Armamentarii, vol. 37, no. 2, pp. 211-218, 2016.
[57]
W. Lu, Z. Yong, and H. Zhang, "Research on p-fuzzy pid control of automobile electronic differential system driven by in-wheel motor", Machin. Manuf. Automat., vol. 46, no. 6, pp. 193-196, 2017.
[58]
H. Xiong, Z. Tan, R. Zhang, and S. He, "A new dual axle drive optimization control strategy for electric vehicles using vehicle-toinfrastructure communications", IEEE Trans. Industr. Inform., vol. 16, no. 4, pp. 2574-2583, 2020.
[http://dx.doi.org/10.1109/TII.2019.2944850]
[59]
R.M. Pindoriya, G. Gautam, and B.S. Rajpurohit, "A novel application of pseudorandom-based technique for acoustic noise and vibration reduction of PMSM drive", IEEE Trans. Ind. Appl., vol. 56, no. 5, pp. 5511-5524, 2020.
[http://dx.doi.org/10.1109/TIA.2020.2997904]
[60]
Y. Yang, Y. He, Z. Yang, C. Fu, and Z. Cong, "Torque coordination control of an electro-hydraulic composite brake system during mode switching based on braking intention", Energies, vol. 13, no. 8, p. 2013, 2020.
[http://dx.doi.org/10.3390/en13082031]
[61]
Tingna Shi, Yanfei Cao, Xinmin Li, Wei Chen, and Changliang Xia, "A Commutation Torque Ripple Suppression Method for Brushless DC Motor[P]", China Patent, 2018.
[62]
Z. Yu, Automobile Theory., 5th ed China Machinery Industry Press: Beijing, 2009, pp. 22-23.
[63]
K. Nam, H. Fujimoto, and Y. Hori, "Lateral stability control of inwheel- motor-driven electric vehicles based on sideslip angle estimation using lateral tire force sensors", Vehicular Technology, IEEE Transactions on, vol. 61, no. 5, pp. 1972-1985, 2012.
[64]
D. Kum, H. Peng, and N.K. Bucknor, "Control of engine-starts for optimal drivability of parallelhybrid electric vehicles", J. Dyn. Syst. Meas. Control, vol. 135, no. 2, p. 021020, 2013.
[http://dx.doi.org/10.1115/1.4023067]
[65]
K.M. Rahman, N.R. Patel, T.G. Ward, J.M. Nagashima, F. Caricchi, and F. Crescimbini, "Application of direct-drive wheel motor for fuel cellelectric and hybrid electric vehicle propulsion system", IEEE Trans. Ind. Appl., vol. 42, no. 5, pp. 1185-1192, 2006.
[http://dx.doi.org/10.1109/TIA.2006.880886]
[66]
J.M. Rodriguez, R. Meneses, and J. Orus, "Active vibration control for electric vehicle compliant drivetrains", Industrial Electronics Society, IECON 2013-39th Annual Conference of the IEEE, pp. 2590-2595, 2013.
[http://dx.doi.org/10.1109/IECON.2013.6699539]
[67]
C. Lin, Z. Xu, and R. Zhang, "A yaw stability control algorithm for four-wheel independently actuated electric ground vehicles considering control boundaries", Math. Probl. Eng., vol. 2015, no. 256715, pp. 1-10, 2015.
[http://dx.doi.org/10.1155/2015/256715]
[68]
L. Jin, Q. Wang, S. Zhang, and J. Wang, "Research on differential technology of electric wheel driven electric vehicle", Automot. Eng., no. 08, pp. 700-704, 2007.
[69]
M. Abe, "Vehicle dynamics and control for improving handling and active safety: From four-wheel steering to direct yaw moment control", Proc. Inst. Mech. Eng., Proc. Part K, J. Multi-body Dyn., vol. 213, no. 2, pp. 87-101, 1999.
[http://dx.doi.org/10.1243/1464419991544081]
[70]
Haddoun, M.E.H. Benbouzid, and D. Diallo, "Sliding mode control of EV electric differential system", Proceedings of ICEM’06, 2006.
[71]
Wan Gang, Xinbo Chen, and Zhuoping Yu, "Four-wheel electronic differential steering control system",
[72]
J.S. Lee, Y.J. Ryoo, and Y.C. Lim, "A neural network model of electric differential system for electric vehicle", IECON 2000, 2000.26th Annual Conference of the IEEE., pp. 83-88, 2000.
[73]
X. Hu, H. Chen, Z. Li, and P. Wang, "An energy-saving torque vectoring control strategy for electric vehicles considering handling stability under extreme conditions", IEEE Trans. Vehicular Technol., vol. 69, no. 10, pp. 10787-10798, 2020.
[http://dx.doi.org/10.1109/TVT.2020.3011921]
[74]
Z. Bai, and Y. Lu, "Method of improving lateral stability by using additional yaw moment of semi-trailer", Energies, vol. 14, no. 1, p. 13, 2020.
[http://dx.doi.org/10.3390/en14010013]
[75]
W. Wang, W. Zhang, and Y. Zhao, "Integrated stability control strategy of in-wheel motor driven electric bus", Int. J. Automot. Technol., vol. 21, no. 4, pp. 919-929, 2020.
[http://dx.doi.org/10.1007/s12239-020-0088-6]
[76]
J. Zou, C. Liu, and Y. Xu, "A Torque Ripple Suppression Method Based on Finite Element Calculation Results and Two - Dimensional Interpolation", [P]. China Patent, 2022.
[77]
S. Inagaki, I. Kshiro, and M. Yamamoto, "Analysis on vehicle stability in critical cornering using phase-plane method", Intemational Symposium on Advanced Vehicle Control (1994: Tsukubashi, Japan).. Proceedings of the International Symposium on AdvancedVehicle Control, 1994]
[78]
K. Kitahama, "Analysis of vehicles’ handling behavior using a phase plane", AVEC, pp. 623-628, 2002.
[79]
K.H. Guo, "A study of a phase plane representation for identifying vehicle behavior", Veh. Syst. Dyn., vol. 15, suppl. 1, pp. 152-167, 1986.
[http://dx.doi.org/10.1080/00423118608969133]
[80]
H.B. Pacejka, "Principles of plane motions of automobiles", IUTAM symposium on the dynamics of automobiles, pp. 35-59, 1975.
[81]
L. Liang, S. Jian, and X. Qi, "Research status and development trend of automobile dynamic stability control system", Mashin/Ha-Yi Kishavarzi, vol. 37, no. 2, pp. 141-144, 2006.
[82]
X. Liu, and W. Chen, "ESP simulation based on DYC and ABS hierarchical coordinated control strategy", Mashin/Ha-Yi Kishavarzi, no. 4, pp. 1-6, 2009.
[83]
Y. Chen, Research on direct yaw moment control of distributed drive electric vehicles., Jilin University: Changchun, 2013.
[84]
J. Wang, and R.G. Longoria, "Coordinated and reconfigurable vehicle dynamics control", Control Systems Technology, IEEE Trasactions, vol. 17, no. 3, pp. 723-732, 2009.
[85]
P. Yang, X. Lu, and Z. Kang, "Distributed electric drive vehicle stability control strategy design and experiment", Jixie Gongcheng Xuebao, vol. 49, no. 24, pp. 128-134, 2013.
[http://dx.doi.org/10.3901/JME.2013.24.128]
[86]
J. Ahmadi, A.K. Sedigh, and M. Kabganian, "Adaptive vehicle later-plane motion control using optimal tire friction forces with saturation limits consideration", In: Vehicular Technilogy, IEEE Transactions, vol. 58, no. 8, pp. 4098-4107, 2009.
[87]
P. Wang, U. Montanaro, S. Fallah, A. Sorniotti, and B. Lenzo, "A gain scheduled robust linear quadratic regulator for vehicle direct yaw moment control", Mechatronics, vol. 51, pp. 31-45, 2018.
[http://dx.doi.org/10.1016/j.mechatronics.2018.01.013]
[88]
C. Xuanhao, H. Kai, and L. Yufeng, "Direct yaw moment control of electric vehicle for improving the vehicle lateral stability", 2018 IEEE International Conference on Mechatronics and Automation(ICMA), pp. 1520-1525, 2018.
[http://dx.doi.org/10.1109/ICMA.2018.8484674]
[89]
W. Zhifu, Z. Yang, L. Chaopeng, and F. Jun, "Research on straight line stability control strategy of four wheel drive vehicle based on the sliding mode variable structure control and optimization algorithm", Energy Procedia, vol. 101, pp. 342-347, 2016.
[http://dx.doi.org/10.1016/j.egypro.2016.12.058]
[90]
R. De Castro, M. Tanelli, R.E. Araujo, and S.M. Savaresi, "Desgin of safety-oriented control allocation strategies for overactuated electric vehicles", Veh. Syst. Dyn., vol. 52, no. 8, pp. 1017-1046, 2014.
[http://dx.doi.org/10.1080/00423114.2014.916811]
[91]
O. Mokhiamar, and M. Abe, "Effects of model response on model following type of combined lateral force and yaw moment control performance for active vehicle handling safety", JSAE Rev., vol. 23, no. 4, pp. 473-480, 2002.
[http://dx.doi.org/10.1016/S0389-4304(02)00237-0]
[92]
X. Lu, Y. Zhou-Ping, and J. Wei, "Research on vehicle stability control of 4WD electric vehicle based on longitudinal force control allocation", J. Tongji Uni., vol. 38, no. 3, pp. 417-421, 2010.
[93]
L. Xiong, Z. Yu, Y. Wang, C. Yang, and Y. Meng, "Vehicle dynamics control of four in-wheel motor drive electric vehicle using gain scheduling based on tyre cornering stiffness estimation", Veh. Syst. Dyn., vol. 50, no. 6, pp. 831-846, 2012.
[http://dx.doi.org/10.1080/00423114.2012.663921]
[94]
M. Liu, J. Huang, and M. Cao, "Handling stability improvement for a four-axle hybrid electric ground vehicle driven by in-wheel motors", IEEE Access, vol. 6, pp. 2668-2682, 2017.
[http://dx.doi.org/10.1109/ACCESS.2017.2784836]
[95]
L. Chen, T. Chen, X. Xu, Y. Cai, H. Jiang, and X. Sun, "Multiobjective coordination control strategy of distributed drive electric vehicle by orientated tire force distribution method", IEEE Access, vol. 6, pp. 69559-69574, 2018.
[http://dx.doi.org/10.1109/ACCESS.2018.2877801]
[96]
X Yuan, J Wang, and K Colombage, "Torque distribution strategy for a front and rear wheel driven electric vehicle",
[97]
R. Wang, Y. Chen, D. Feng, X. Huang, and J. Wang, "Development and performance characterization of an electric ground vehicle with independently actuated in-wheel motors", J. Power Sources, vol. 196, no. 8, pp. 3962-3971, 2011.
[http://dx.doi.org/10.1016/j.jpowsour.2010.11.160]
[98]
Pennycott. A. Pennycott, and A. Pennycott, "Real-time torque distribution strategy for an electric vehicle with multiple traction motors by particle swarm optimization", ACS International Automatic Control Conference (CACS), pp. 233-238, 2013.
[99]
L. Pennycott, L. De Novellis, and P. Gruber, "Enhancing the energy efficiency of fully electric vehicles via the minimization of motor power losses", 2013 IEEE International Conference on Systems, Man, and Cybernetics, pp. 4167-4172, 2013.
[http://dx.doi.org/10.1109/SMC.2013.710]
[100]
Y. Wang, H. Fujimoto, and S. Hara, "Torque distribution-based range extension control system for longitudinal motion of electric vehicles by LTI modeling with generalized frequency variable", IEEE/ASME Trans. Mechatron., vol. 21, no. 1, pp. 443-452, 2015.
[http://dx.doi.org/10.1109/TMECH.2015.2444651]
[101]
L. De Novellis, A. Sorniotti, and P. Gruber, "“Optimal wheel torque distribution for a four-wheel-drive fully electric vehicle”, SAE Int. J. Passenger Cars-Mech", Sys, vol. 6, no. 010673, pp. 128-136, 2013.
[http://dx.doi.org/10.4271/2013-01-0673]
[102]
L. De Novellis, A. Sorniotti, and P. Gruber, "Wheel torque distribution criteria for electric vehicles with torque-vectoring differentials", IEEE Trans. Vehicular Technol., vol. 63, no. 4, pp. 1593-1602, 2013.
[http://dx.doi.org/10.1109/TVT.2013.2289371]
[103]
L. Guo, X. Lin, and P. Ge, "Torque distribution for electric vehicle with four in-wheel motors by considering energy optimization ang dynamics performance", 2017 IEEE Intelligent Vehicles Symposium (IV), pp. 1619-1624, 2017.
[http://dx.doi.org/10.1109/IVS.2017.7995941]
[104]
O. Mokhiamar, and M. Abe, "Experimental verification using a driving simulator of the effect of simultaneous optimal distribution of tyre forces for active vehicle handling control", Proc. Inst. Mech. Eng., D J. Automob. Eng., vol. 219, no. 2, pp. 135-149, 2005.
[http://dx.doi.org/10.1243/095440705X6461]
[105]
M. Abe, and O. Mokhiamar, "An integration of vehicle motion controls for full drive-by-wire vehicle. Proceedings of the institution of mechanical engineers, Part K", J. Multi-body Dynam, vol. 221, pp. 116-127, 2007.
[106]
F. Tahami, R. Kazemi, and S. Farhanghi, "A novel driver assist stability system for all-wheel-drive electric vehicles", IEEE Trans. Vehicular Technol., vol. 52, no. 3, pp. 683-692, 2003.
[http://dx.doi.org/10.1109/TVT.2003.811087]
[107]
E. Esmailzadeh, A. Goodarzi, and G.R. Vossoughi, "Optimal yaw moment control law for improved vehicle handling", Mechatronics, vol. 13, no. 7, pp. 659-675, 2003.
[http://dx.doi.org/10.1016/S0957-4158(02)00036-3]
[108]
M. Shino, N. Miyamoto, and Y.Q. Wang, Traction control of electric vehicles considering vehicle stability.The 6th International Workshop on Advanced Motion Control. Proceedings., Nagoya: Japan, 2000, pp. 311-316.
[http://dx.doi.org/10.1109/AMC.2000.862882]
[109]
M. Croft-White, and M. Harrison, "Study of torque vectoring for all-wheel-drive vehicles", Vehicle System Dynamics, vol. 44, suppl. suppl. sup1, pp. 313-320, 2006.
[http://dx.doi.org/10.1080/00423110600871400]
[110]
S. Sakai, H. Sado, and Y. Hori, "Motion control in an electric vehicle with four independently driven in-wheel motors", IEEE/ASME Trans. Mechatron., vol. 4, no. 1, pp. 9-16, 1999.
[http://dx.doi.org/10.1109/3516.752079]
[111]
Z. Li, W. Wang, and X. Xu, "Willans model of electric motor for electric vehicle based on least squares support vector machine", J. Jiangsu Uni., vol. 37, no. 4, pp. 381-385, 2016.
[112]
F. Borrelli, P. Falcone, T. Keviczky, J. Asgari, and D. Hrovat, "MPC-based approach to active steering for autonomous vehicle systems", Int. J. Vehicle Auto. Sys., vol. 3, no. 2, pp. 265-291, 2005.
[http://dx.doi.org/10.1504/IJVAS.2005.008237]
[113]
P. Falcone, F. Borrelli, J. Asgari, H.E. Tseng, and D. Hrovat, "Predictive active steering control for autonomous vehicle systems", IEEE Trans. Control Syst. Technol., vol. 15, no. 3, pp. 566-580, 2007.
[http://dx.doi.org/10.1109/TCST.2007.894653]
[114]
R.J. Rieveley, and B.P. Minaker, "Variable torque distribution yaw moment control for hybrid powertrains", SAE Technical Paper, 2007.
[http://dx.doi.org/10.4271/2007-01-0278]

Rights & Permissions Print Cite
© 2024 Bentham Science Publishers | Privacy Policy