In order to improve the handling stability of distributed drive electric vehicles under certain extreme driving conditions, this paper takes distributed drive electric vehicles as the research object and establishes a linear deviation two-degree-of-freedom model. In addition, through the phase plane stability analysis, the phase diagram trajectory is divided into stable and unstable regions by applying the stability boundary fitting formula, so as to generate constraints for the object function and determine the working regions of active front steering (AFS) and direct yaw moment control (DYC). Ultimately, a cooperative controller with AFS and DYC based on model predictive control (MPC) and phase plane stability analysis is proposed. For the purpose of proving the superiority of the proposed controller, another four controllers are set up for comparison, and simulation experiments are carried out in two scenarios of high and low speed. The simulation results show that the AFS and DYC cooperative controller based on MPC and phase plane stability analysis could further reduce the lateral deviation while ensuring stability at low speed, and improve the overall performance of vehicle handling stability without sacrificing too much lateral deviation at high speed.
ChenLLiYHuangC, et al. Milestones in autonomous driving and intelligent vehicles: survey of surveys. IEEE Trans Intell Veh2023; 8(2): 1046–1056.
2.
HeXLiEZhangH. ASR control of distributed drive vehicles based on CAN bus and FlexRay bus. In: 2021 IEEE 5th advanced information technology, electronic and automation control conference (IAEAC), Chongqing, China, 12–14 March 2021, vol. 5, pp.749–755. New York: IEEE.
3.
WangY. Research on adaptive cruise control strategy of distributed drive intelligent electric vehicle. In: 2023 Asia-Pacific conference on image processing, electronics and computers (IPEC), Dalian, China, 14–16 April 2023, pp.130–134. New York: IEEE.
4.
GangLPingshuGJiaqiZ, et al. Research on failure mechanism for distributed drive vehicle based on co-simulation of Carsim and Matlab. In: 2020 4th CAA international conference on vehicular control and intelligence (CVCI), Hangzhou, China, 18–20 December 2020, pp.530–535. New York: IEEE.
5.
ZouYGuoNZhangX.An integrated control strategy of path following and lateral motion stabilization for autonomous distributed drive electric vehicles. Proc IMechE, Part D: J Automobile Engineering2021; 235(4): 1164–1179.
6.
CuiFLGePSWangY, et al. Active front steering controller for distributed drive electric vehicles based on sliding mode control. In: 2022 6th CAA international conference on vehicular control and intelligence (CVCI), Nanjing, China, 28–30 October 2022, pp.1–5. New York: IEEE.
7.
LingfeiWLifangWYongL, et al. Torque coordination control of distributed drive electric vehicle for straight line driving. In: 2014 IEEE conference and expo transportation electrification Asia-Pacific (ITEC Asia-Pacific), Beijing, China, 31 August–3 September 2014, pp.1–6. New York: IEEE.
8.
GangLChang-fuZHong-yuZ, et al. Vehicle active front steering and yaw moment integrated control. In: Proceedings 2011 international conference on transportation, mechanical, and electrical engineering (TMEE), Changchun, China, 16–18 December 2011, pp.787–790. New York: IEEE.
9.
LiDZhaoYLinF, et al. Coordinated control of AFS and DYC for electric vehicles with mechanical elastic electric wheels considering the roll effects and uncertain parameters. Proc IMechE, Part D: J Automobile Engineering2024; 238(12): 3565–3583.
10.
DaweiPMingshuaiYYulongL, et al. Coordination strategy between AFS and ASB with fault-tolerant mechanism for ground vehicle. Proc IMechE, Part D: J Automobile Engineering2021; 235(4): 1128–1148.
11.
WuXGuanSZhuY, et al. Controllable region analysis of active front steering and differential braking system stability control characterized by additional yaw moment. Proc IMechE, Part D: J Automobile Engineering. Epub ahead of print 23July2024. DOI: 10.1177/09544070241260469.
12.
KarbalaeiRGhaffariAKazemiR, et al. Design of an integrated AFS/DYC based on fuzzy logic control. In: 2007 IEEE international conference on vehicular electronics and safety, Beijing, China, 13–15 December 2007, pp.1–6. New York: IEEE.
13.
JinXYuZYinG, et al. Improving vehicle handling stability based on combined AFS and DYC system via robust Takagi-Sugeno fuzzy control. IEEE Trans Intell Transp Syst2018; 19(8): 2696–2707.
14.
ZhangHLiYQuanW, et al. An individualized robust stability control strategy for active front steering vehicles. Proc IMechE, Part D: J Automobile Engineering. Epub ahead of print 9January2024. DOI: 10.1177/09544070231218355.
15.
ZhangHWangJ.Vehicle lateral dynamics control through AFS/DYC and robust gain-scheduling approach. IEEE Trans Veh Technol2016; 65(1): 489–494.
16.
FangZLiangJTanC, et al. Enhancing robust driver assistance control in distributed drive electric vehicles through integrated AFS and DYC technology. IEEE Trans Intell Veh. Epub ahead of print 21February2024. DOI: 10.1109/TIV.2024.3368050.
17.
YeXZhuSAoD, et al. Nonlinear model predictive trajectory following control with feedback compensation for autonomous four-wheel independent drive electric vehicles. Proc IMechE, Part D: J Automobile Engineering2024; 238(2–3): 478–490.
18.
WasimMKashifASAliA, et al. Integrated AFS and DYC using predictive controller for vehicle handling improvement. In: 2021 international Bhurban conference on applied sciences and technologies (IBCAST), Islamabad, Pakistan, 12–16 January 2021, pp.568–573. New York: IEEE.
19.
ZichenZXuanZShuW, et al. Extension integrated control of electric vehicles AFS/DYC based on LQR. In: 2023 7th international conference on transportation information and safety (ICTIS), Xi’an, China, 4–6 August 2023, pp.1642–1648. New York: IEEE.
20.
YimS.Coordinated control with electronic stability control and active steering devices. J Mech Sci Technol2015; 29(12): 5409–5416.
21.
BoadaMJLBoadaBLMuñozA, et al. Integrated control of front-wheel steering and front braking forces on the basis of fuzzy logic. Proc IMechE, Part D: J Automobile Engineering2006; 220(3): 253–267.
22.
MashadiBMajidiM. Integrated AFS and DYC sliding mode controller design for hybrid electric vehicle. In: ASME 2010 10th Biennial conference on engineering systems design and analysis, Istanbul, Turkey, 12–14 July 2010.
23.
PatilSSWanaskarVShendgePD, et al. Sliding mode and inertial delay based direct yaw moment control for AGVs. In: 2021 6th international conference for convergence in technology (I2CT), Maharashtra, India, 2–4 April 2021, pp.1–6. New York: IEEE.
24.
TahouniAMirzaeiMNajjariB.Novel constrained nonlinear control of vehicle dynamics using integrated active torque vectoring and electronic stability control. IEEE Trans Veh Technol2019; 68: 9564–9572.
25.
UbaidillahPamungkasKNizamM, et al. Simulation and model verification of a vehicle handling dynamics. In: Proceedings of the joint international conference on electric vehicular technology and industrial, mechanical, electrical and chemical engineering (ICEVT IMECE), Surakarta, Indonesia, 4–5 November 2015, pp.280–285. New York: IEEE.
26.
ZhangBShiSYuS, et al. Research on dynamics model evaluation method of commercial vehicle base on error in prediction horizon for nonlinear MPC. In: 2022 6th CAA international conference on vehicular control and intelligence (CVCI), Nanjing, China, 28–30 October 2022, pp.1–4. New York: IEEE.
BhoraskarASakthivelP. A review and a comparison of Dugoff and modified Dugoff formula with magic formula. In: 2017 international conference on nascent technologies in engineering (ICNTE), Vashi, India, 27–28 January 2017, pp.1–4. New York: IEEE.
29.
NoviTCapitaniRAnnicchiaricoC.An integrated artificial neural network–unscented kalman filter vehicle sideslip angle estimation based on inertial measurement unit measurements. Proc IMechE, Part D: J Automobile Engineering2019; 233(7): 1864–1878.
30.
HaoZXian-shengLShu-mingS, et al. Phase plane analysis for vehicle handling and stability. Int J Comput Intell Syst2011; 4(6): 1179–1186.
31.
QinLHuJLiH, et al. Fuzzy logic controllers for specialty vehicles using a combination of phase plane analysis and variable universe approach. IEEE Access2017; 5: 1579–1588.
32.
HangPChenXLuoF. Path-tracking controller design for a 4WIS and 4WID electric vehicle with steer-by-wire system. SAE technical paper 2017-01-1954, 2017.
33.
PugiLFavilliTBerziL, et al. Brake blending and torque vectoring of road electric vehicles: a flexible approach based on smart torque allocation. Int J Electr Hybrid Veh2020; 12: 87–115.
34.
GuoqingGZhishuaiYChenD, et al. Observer-based lateral stability adaptive control method for distributed drive electric vehicles. Proc IMechE, Part D: J Automobile Engineering2023; 237(6): 1277–1289.
35.
YimS.Integrated chassis control with adaptive algorithms. Proc IMechE, Part D: J Automobile Engineering2016; 230(9): 1264–1272.
