This paper investigates the impact of time delay factors on the lateral motion of electric vehicles with direct yaw moment control (DYC). The existence of internal time delay factors is inescapable in electric vehicle (EV) systems, which might affect the effectiveness of DYC. Computer simulation shows that DYC works well at small time delays, while significant oscillation or even loss of stability occurs when the delays are large enough. A frequency-domain method is used to determine the stability limit of the time-delayed system.

References

1.
Hori
,
Y.
,
2004
, “
Future Vehicle Driven by Electricity and Control-Research on 4 Wheel Motored “UOT March II”
,”
IEEE Trans. Ind. Electron.
,
51
(
5
), pp.
954
962
.
2.
Hori
,
Y.
,
Toyoda
,
Y.
, and
Tsuruoka
,
Y.
,
1998
, “
Traction Control of Electric Vehicle-Basic Experimental Results Using the Test EV UOT Electric March
,”
IEEE Trans. Ind. Appl.
,
34
(
5
), pp.
1131
1138
.
3.
Shino
,
M.
, and
Nagai
,
M.
,
2001
, “
Yaw-Moment Control of Electric Vehicle for Improving Handling and Stability
,”
JSAE Rev.
,
22
(
4
), pp.
473
480
.
4.
Wu
,
F.
,
Yeh
,
T. J.
, and
Huang
,
C.
,
2013
, “
Motor Control and Torque Coordination of an Electric Vehicle Actuated by Two In-Wheel Motors
,”
Mechatronics
,
23
(
1
), pp.
46
60
.
5.
Tahami
,
F.
,
Kazemi
,
R.
,
Farhanghi
,
S.
, and
Samadi
,
B.
,
2002
, “
Fuzzy Based Stability Enhancement System for a Four-Motor-Wheel Electric Vehicle
,”
SAE
Paper No. 2002-01-1588.
6.
He
,
P.
, and
Hori
,
Y.
,
2006
, “
Optimum Traction Force Distribution for Stability Improvement of 4WD EV in Critical Driving Condition
,”
9th IEEE International Workshop on Advanced Motion Control
, pp.
596
601
.
7.
Chen
,
Y.
, and
Wang
,
J.
,
2012
, “
Fast and Global Optimal Energy-Efficient Control Allocation With Applications to Over-Actuated Electric Ground Vehicles
,”
IEEE Trans. Control Syst. Technol.
,
20
(
5
), pp.
1202
1211
.
8.
Jonasson
,
M.
,
Andreasson
,
J.
,
Solyom Jacobson
,
B.
, and
Trigell
,
A. S.
,
2011
, “
Utilization of Actuators to Improve Vehicle Stability at the Limit: From Hydraulic Brakes Toward Electric Propulsion
,”
ASME J. Dyn. Syst. Meas. Control
,
133
(
5
), p.
051003
.
9.
Xiong
,
L.
,
Yu
,
Z.
,
Wang
,
Y.
,
Yang
,
C.
, and
Meng
,
Y.
,
2012
, “
Vehicle Dynamics Control of Four In-Wheel Motor Drive Electric Vehicle Using Gain Scheduling Based on Tyre Cornering Stiffness Estimation
,”
Veh. Syst. Dyn.
,
50
(
6
), pp.
831
846
.
10.
Liu
,
Z.
,
Payre
,
G.
, and
Bourassa
,
P.
,
2004
, “
Stability and Oscillations in a Time-Delayed Vehicle System With Driver Control
,”
Nonlinear Dyn.
,
35
(
2
), pp.
159
173
.
11.
Zhang
,
C.
,
2012
, “
Research on the Influences of the Time-Delay on Vehicle Handling and Stability
,” Ph.D. thesis, Shandong University of Technology, Zibo, Shandong, China.
12.
Jin
,
X.
, and
Yin
,
G.
,
2015
, “
Estimation of Lateral Tire-Road Forces and Sideslip Angle for Electric Vehicles Using Interacting Multiple Model Filter Approach
,”
J. Frankl. Inst.
,
352
(
2
), pp.
686
707
.
13.
Jin
,
X.
,
Yin
,
G.
,
Li
,
Y.
, and
Li
,
J.
,
2015
, “
Stabilizing Vehicle Lateral Dynamics With Considerations of State Delay of AFS for Electric Vehicles Via Robust Gain-Scheduling Control
,”
Asian J. Control
.
14.
Pacejka
,
H. B.
,
2012
,
Tire and Vehicle Dynamics
, 3rd ed.,
Butterworth-Heinemann
,
Oxford, UK/Waltham, MA
.
15.
Xu
,
P.
,
Hou
,
Z.
,
Guo
,
G.
,
Xu
,
G.
,
Cao
,
B.
, and
Liu
,
Z.
,
2011
, “
Driving and Control of Torque for Direct-Wheel-Driven Electric Vehicle With Motors in Serial
,”
Exp. Syst. Appl.
,
38
(
1
), pp.
80
86
.
16.
Pimentel
,
J. C. G.
,
Gad
,
E.
, and
Roy
,
S.
,
2013
, “
Stability Analysis of BLDC Motor Speed Controllers Under the Presence of Time Delays in the Control Loop
,”
International Conference on Connected Vehicles and Expo (ICCVE)
, pp.
171
176
.
17.
Wang
,
R.
, and
Wang
,
J.
,
2011
, “
Passive Fault-Tolerant Control of a Class of Over-Actuated Nonlinear Systems and Applications to Electric Vehicles
,”
50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
, pp.
2263
2268
.
18.
Du
,
H.
, and
Zhang
,
N.
,
2012
, “
Robust Yaw Moment Control for Vehicle Handling and Stability Improvement
,”
24th Chinese Control and Decision Conference (CCDC)
, pp.
4221
4226
.
19.
Yeganefar
,
N.
,
Pepe
,
P.
, and
Dambrine
,
M.
,
2008
, “
Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
,”
IEEE Trans. Autom. Control
,
53
(
6
), pp.
1526
1531
.
20.
Malek-Zavarei
,
M.
, and
Jamshidi
,
M.
,
1987
,
Time-Delayed Systems, Analysis, Optimization and Applications
,
North-Holland
,
Amsterdam
.
21.
Cooke
,
K. L.
, and
van den Driessche
,
P.
,
1986
, “
On Zeros of Some Transcendental Equations
,”
Funkcialaj Ekvacioj
,
29
, pp.
77
90
.
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