A torque converter lock-up clutch slip control system, which is designed to improve fuel economy, must be able to precisely regulate slip speed. Also the system must have a high level of robustness for coping with changes in the operating conditions and any deterioration in the automatic transmission fluid and the clutch. Moreover, to reduce the design time, the design process must be as simple as possible. In this paper, we first propose a loop shaping that aims to optimize complementary sensitivity function of the control system, while satisfying the abovementioned requirements of performance and robustness. Next, a method for simplifying the design process is proposed, that is, a model and a controller are expressed by interpolation. A controller set, which has a relationship of duality to the interpolation parameters of the model, is created in advance so that the construction of a new control system can be realized by identifying the characteristic parameters only. From application to the actual design process for a vehicle, we verified that the design time was reduced to less than $1∕3$ of that required for the conventional method. This new method has already been adopted for the design and fitting of new products.

1.
Kono
,
K.
,
Itoh
,
H.
,
Nakamura
,
S.
,
Yoshizawa
,
K.
, and
Osawa
,
M.
, 1995, “
Torque Converter Clutch Slip Control System
,”
SAE Technical Paper Series
No.
950672
,
49
59
.
2.
Osawa
,
M.
,
Hibino
,
R.
,
,
M.
,
Kono
,
K.
, and
Kobiki
,
Y.
, 1995, “
Application of H∞ Control Design to Slip Control System for Torque Converter Clutch
,” Preprints of the First IFAC-Workshop on Advances in Automotive Control, pp.
150
155
.
3.
Hiramatsu
,
T.
,
Akagi
,
T.
, and
Yoneda
,
H.
, 1985, “
Control Technology of Minimal Slip-Type Torque Converter Clutch
,”
SAE Technical Paper Series
No.
850460
, pp.
47
54
.
4.
Lee
,
J.
, 2004, “
Dynamic Simulation for Torque Converter Clutch Slip System Using Sliding Mode Control
,”
FISITA World Automotive Congress
, Paper No. 2004-05-0048, pp.
1
13
.
5.
David
,
J.
, and
Natarajan
,
N.
, 2006, “
Plant Identification and Design of Optimal Clutch Engagement Controller
,” SAE Technical Paper Series No. 2006-01-3539, pp.
1
9
.
6.
Doyle
,
J. C.
,
Francis
,
B. A.
, and
Tannenbaum
,
A. R.
, 1992,
Feedback Control Theory
,
Macmillan
,
New York
, pp.
46
62
.
7.
Doyle
,
J. C.
,
Glover
,
K.
,
Khargonekar
,
P. P.
, and
Francis
,
B. A.
, 1989, “
State Space Solutions to Standard H2 and H∞ Control Problems
,”
IEEE Trans. Autom. Control
0018-9286,
34
, pp.
831
847
.
8.
Fujita
,
M.
,
Matsumura
,
F.
, and
Uchida
,
K.
, 1990, “
Experiments on the H∞ Disturbance Attenuation Control of a Magnetic Suspension System
,”
Proceedings of the 29th IEEE Conference on Decision and Control
, Paper No. 2773-2778.
9.
Safonov
,
M. G.
,
Chiang
,
R. Y.
, and
Flashner
,
H.
, 1988, “
H∞ Control Synthesis for a Large Space Structure
,”
Proceedings of the American Control Conference
.
10.
Boyd
,
S. P.
, and
Barratt
,
C. H.
, 1991,
Linear Controller Design, Limits of Performance
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
11.
Ljung
,
L.
, 1987,
System Identification—Theory for the User
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
12.
Moore
,
B. C.
, 1981, “
Principal Component Analysis in Linear System: Controllability, Observability, and Model Reduction
,”
IEEE Trans. Autom. Control
0018-9286,
26
, pp.
17
31
.
13.
Apkarian
,
P.
, and
,
R.
, 1998, “
Advanced Gain-Scheduling Techniques for Uncertain Systems
,”
IEEE Trans. Control Syst. Technol.
1063-6536,
6
(
1
), pp.
21
32
.
14.
Ghaoui
,
L. E.
, and
Niculescu
,
S.
, 2000,
Advances in Linear Matrix Inequality Methods in Control
,
Society for Industrial and Applied Mathematics
,
.
15.
Apkarian
,
P.
, and
Gahinet
,
P.
, 1995, “
A Convex Characterization of Gain-Scheduled H∞ Controllers
,”
IEEE Trans. Autom. Control
0018-9286,
40
(
5
), pp.
853
864
.