This paper presents a vehicle dynamic stability controller for distributed-drive electric vehicles. A hierarchical control structure is adopted for the proposed controller. An upper controller is designed on the basis of integrated model-matching control. It consists of a feedforward component plus a feedback component to calculate the desired external yaw moment to achieve the desired vehicle motion. The feedforward control aims at compensating the effect caused by the variation in the linear cornering stiffnesses of the tyres during the life cycle of the tyres. It provides a rapid response under common driving conditions. The linear cornering stiffnesses of the tyres are estimated in real time by the adaptive forgetting-factor recursive least-squares method. Since many vehicle parameters have strongly non-linear and time-varying characteristics, adaptive sliding mode control is used as the feedback component to make the controller robust against systematic uncertainties. To combine the outputs of feedforward and feedback together and to avoid probable conflict, a weight gain coefficient is obtained. Additionally, a conventional sliding-mode controller is introduced as a comparative upper control strategy. The lower controller is utilized to allocate the required yaw moment and traction to the four independent motors, taking into account the tyre grip margins. Simulations for a low-g manoeuvre and a high-g manoeuvre are carried out to evaluate the proposed control algorithm. The results show that the proposed vehicle stability controller can significantly stabilize the vehicle motion and greatly reduce the driver’s workload in comparison with with the conventional sliding-mode controller.
YoshiokaTAdachiTButsuenTet al. Application of sliding-mode theory to direct yaw-moment control. JSAE Rev1999; 20(4): 523–529.
2.
Van ZantenAT. Bosch ESP systems: 5 years of experience. SAE paper 2000-01-1633, 2000.
3.
BoadaBLBoadaMJLDíazV. Fuzzy-logic applied to yaw moment control for vehicle stability. Veh System Dynamics2005; 43(10): 753–770.
4.
MashadiBMostaaniSMajidiM. Vehicle stability enhancement by using an active differential. Proc IMechE Part I: J Systems and Control Engineering2011; 225(8): 1098–1114.
5.
HancockMJWilliamsRAFinaEBestMC. Yaw motion control via active differentials. Trans Inst Measmt Control2007; 29(2): 137–157.
6.
EsmailzadehEVossoughiGRGoodarziA. Dynamic modeling and analysis of a four motorized wheels electric vehicle. Veh System Dynamics2001; 35(3): 163–194.
7.
ZhangXGöhlichD. Optimal torque distribution strategy for a four motorized wheels electric vehicle. In: 28th international electric vehicle symposium and exhibition, Goyang, Republic of Korea, 3–6 May 2015, pp. 1–9. Seoul: Korean Society of Automotive Engineers (KSAE).
8.
HoriYToyodaYTsuruokaY. Traction control of electric vehicle: basic experimental results using the test EV “UOT Electric March”. IEEE Trans Ind Applic1998; 34(5): 1131–1138.
9.
HoriY. Future vehicle driven by electricity and control - research on four-wheel-motored “UOT Electric March II”. IEEE Trans Ind Electron2004; 51(5): 954–962.
10.
EsmailzadehEGoodarziAVossoughiGR. Optimal yaw moment control law for improved vehicle handling. Mechatronics2003; 13(7): 659–675.
11.
BoadaMJLBoadaBLMuñozADíazV. 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.
12.
LiLJiaGChenJet al. A novel vehicle dynamics stability control algorithm based on the hierarchical strategy with constrain of nonlinear tyre forces. Veh System Dynamics2015; 53(8): 1093–1116.
13.
XiongLYuZWangYet al. Vehicle dynamics control of four in-wheel motor drive electric vehicle using gain scheduling based on tyre cornering stiffness estimation. Veh System Dynamics2012; 50(6): 831–846.
14.
BayarKWangJRizzoniG. Development of a vehicle stability control strategy for a hybrid electric vehicle equipped with axle motors. Proc IMechE Part D: J Automobile Engineering2012; 226(6): 795–814.
15.
DingNTaheriS. An adaptive integrated algorithm for active front steering and direct yaw moment control based on direct Lyapunov method. Veh System Dynamics2010; 48(10): 1193–1213.
16.
MirzaeiM. A new strategy for minimum usage of external yaw moment in vehicle dynamic control system. Transpn Res Part C: Emerging Technol2010; 18(2): 213–224.
17.
ZhengSTangHHanZZhangY. Controller design for vehicle stability enhancement. Control Engng Practice2006; 14(12): 1413–1421.
18.
HePHoriY. Optimum traction force distribution for stability improvement of 4WD EV in critical driving condition. In: 9th IEEE international workshop on advanced motion control, Istanbul, Turkey, 27–29 March 2006, pp. 596–601. New York: IEEE.
19.
MokhiamarOAbeM. Simultaneous optimal distribution of lateral and longitudinal tire forces for the model following control. Trans ASME, J Dynamic Systems, Measmt, Control2004; 126(4): 753.
20.
LinCXuZ. Wheel torque distribution of four-wheel-drive electric vehicles based on multi-objective optimization. Energies2015; 8(5): 3815–3831.
21.
ZhangDLiuGZhaoWet al. A neural network combined inverse controller for a two-rear-wheel independently driven electric vehicle. Energies2014; 7(7): 4614–4628.
22.
Van ZantenAT. Evolution of electronic control systems for improving the vehicle dynamic behavior. In: 6th international symposium on advanced vehicle control, Hiroshima, Japan, 9–13 September 2002, pp. 7–15. Tokyo: JSAE.
23.
WenzelTABurnhamKJBlundellMVWilliamsRA. Dual extended Kalman filter for vehicle state and parameter estimation. Veh System Dynamics2006; 44(2): 153–171.
24.
NagaiMHiranoYYamanakaS. Integrated control of active rear wheel steering and direct yaw moment control. Veh System Dynamics1997; 27(5–6): 357–370.
25.
SmithDEStarkeyJM. Effects of model complexity on the performance of automated vehicle steering controllers: model development, validation and comparison. Veh System Dynamics1995; 24(2): 163–181.
26.
El-GindyMIlosvaiL. Computer simulation study on a vehicle’s directional response in some severe manoeuvres. Part 1: rapid lane-change manoeuvres. Int J Veh Des1983; 4(4): 386–401.
27.
AllenRWSzostakHTRosenthalTJJohnstonDE. Test methods and computer modeling for the analysis of ground vehicle handling. SAE paper 861115, 1986.
28.
HeHPengJXiongRFanH. An acceleration slip regulation strategy for four-wheel drive electric vehicles based on sliding mode control. Energies2014; 7(6): 3748–3763.
29.
MokhiamarOAbeM. How the four wheels should share forces in an optimum cooperative chassis control. Control Engng Practice2006; 14(3): 295–304.
30.
KienckeUNielsenL. Automotive control systems: for engine, driveline, and vehicle. Berlin: Springer, 2006.
31.
SiramdasuYTaheriS. Discrete tyre model application for evaluation of vehicle limit handling performance. Veh System Dynamics2016; 54(11): 1554–1573. DOI:10.1080/00423114.2016.1220594.
32.
NamKFujimotoHHoriY. Lateral stability control of in-wheel-motor-driven electric vehicles based on sideslip angle estimation using lateral tire force sensors. IEEE Trans Veh Technol2012; 61(5): 1972–1985.
33.
NguyenBMNamKFujimotoHHoriY. Proposal of cornering stiffness estimation without vehicle side slip angle using lateral force sensor. In: IEEJ technical meeting on industrial instrumentation and control, Tokyo, Japan, March 2011, Vol IIC-11-140, pp. 1–6. Tokyo: Institute of Electrical Engineers of Japan.
34.
AntonovSFehnAKugiA. Unscented Kalman filter for vehicle state estimation. Veh System Dynamics2011; 49(9): 1497–1520.
35.
RenHChenSLiuGZhengK. Vehicle state information estimation with the unscented Kalman filter. Adv Mech Engng2014; 6: 1–11.
36.
HovdMBitmeadRR. Feedforward for stabilization. In: IFAC symposium on advanced control of chemical processes, Istanbul, Turkey, 12–15 July 2009, Vol 42, no. 11, pp. 602–606. Laxenburg: IFAC.
37.
ÅströmKJWittenmarkB. Adaptive control. 2nd edition. Mineola, New York: Dover Publications, 2008, xvi + 573 pp.
38.
HarkegardO. Efficient active set algorithms for solving constrained least squares problems in aircraft control allocation. In: 41st IEEE conference on decision and control, Las Vegas, Nevada, USA, 10–13 December 2002, Vol 2, pp. 1295–1300. New York: IEEE.
39.
ISO 3888-1:1999Passenger cars – test track for a severe lane-change manoeuvre – Part 1: double lane-change. Geneva: International Organization for Standardization, 1999.
40.
HoriuchiSYuharaN. An analytical approach to the prediction of handling qualities of vehicles with advanced steering control system using multi-input driver model. Trans ASME, J Dynamic Systems, Measmt, Control2000; 122(3): 490–497.
