This paper presents the design of μ-synthesis control for four-wheel steering (4WS) vehicle and an experimental study using a hardware-in-the-loop (Hil) setup. First, the robust controller is designed and the selection of weighting functions is discussed in the framework of μ-synthesis control scheme, considering the varying parameters induced by running vehicle condition. Second, in order to investigate the feasibility of the four-wheel steering control system, the 4WS vehicle control system is built using dSPACE DS1005 platform. The experimental tests are performed using the Hil setup which has been constructed using the devised rear steering actuating system. The dynamics performance is evaluated by experiment using the Hil setup under the condition of parameter variations. Finally, experimental results show that the μ-synthesis controller can enhance good vehicle lateral maneuverability.

1.
Cho
,
Y. H.
, and
Kim
,
J.
, 1995, “
Design of Optimal Four-Wheel Steering System
,”
Veh. Syst. Dyn.
0042-3114,
24
(
9
), pp.
661
682
.
2.
Szosland
,
A.
, 2000, “
Fuzzy Logic Approach to Four-Wheel Steering of Motor Vehicle
,”
Int. J. Veh. Des.
0143-3369,
24
(
4
), pp.
350
359
.
3.
El Hajjaji
,
A.
,
Ciocan
,
A.
, and
Hamad
,
D.
, 2005, “
Four Wheel Steering Control by Fuzzy Approach
,”
J. Intell. Robotic Syst.
0921-0296,
41
(
2–3
), pp.
141
156
.
4.
You
,
S. -S.
, and
Chai
,
Y. -H.
, 1999, “
Multi-Objective Control Synthesis: An Application to 4WS Passenger Vehicles
,”
Mechatronics
0957-4158,
9
(
4
), pp.
363
390
.
5.
Lv
,
H. -M.
,
Chen
,
N.
, and
Li
,
P.
, 2004, “
Multi-Objective H∞ Optimal Control for Four-Wheel Steering Vehicle Based on a Yaw Rate Tracking
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.)
0954-4070,
218
(
10
), pp.
1117
1124
.
6.
Doyle
,
J.
, 1985, “
Structured Uncertainties in Control System Design
,”
Proceedings of the 24th Conference on Decision and Control
, Lauderdale, FL, pp.
260
265
.
7.
Packard
,
A.
, and
Doyle
,
J.
, 1993, “
Complex Structured Singular Value
,”
Automatica
0005-1098,
29
(
1
), pp.
71
109
.
8.
Gao
,
X.
,
McVey
,
B. D.
, and
Tokar
,
R. L.
, 1995, “
Robust Controller Design of Four Wheel Steering Systems Using μ Synthesis Techniques
,”
Proceeding of the 34th IEEE Conference on Decision and Control
, Vol.
1
, pp.
875
882
.
9.
Nagai
,
M.
,
Hirano
,
Y.
, and
Yamanaka
,
S.
, 1997, “
Integrated Control of Active Rear Wheel Steering and Direct Yaw Moment Control
,”
Veh. Syst. Dyn.
0042-3114,
27
(
5
), pp.
357
370
.
10.
Szászi
,
I.
, and
Gáspár
,
P.
, 1999, “
Robust Servo Control Design Using the H∞/μ Method
,”
Periodica Polytechinica Transportion Engineering
,
27
(
1–2
), pp.
3
16
.
11.
Balas
,
G. J.
,
Doyle
,
J. C.
,
Glover
,
K.
,
et al.
, 2001, μ-Analysis and Synthesis Toolbox User’s Guide, The MathWorks.
12.
Safonov
,
M. G.
, and
Chiang
,
R. Y.
, 1989, “
Schur Method for Balanced-Truncation Model Reduction
,”
IEEE Trans. Autom. Control
0018-9286,
34
(
7
), pp.
729
733
.
13.
Linjama
,
M.
,
Virvalo
,
T.
,
Gustafsson
,
J.
,
Lintula
,
J.
,
Aaltonen
,
V.
, and
Kivikoski
,
M.
, 2000, “
Hardware-in-the-Loop Environment for Servo System Controller Design, Turning, and Testing
,”
Microprocess. Microsyst.
,
24
, pp.
13
21
.
14.
Misselhorn
,
W. E.
,
Theron
,
N. J.
, and
Els
,
P. S.
, 2006, “
Investigation of Hardware-in-the-Loop for Use in Suspension Development
,”
Veh. Syst. Dyn.
0042-3114,
44
(
1
), pp.
65
81
.
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