Clutch to clutch shift control technology, which is the key enabler for a compact and low cost transmission design, is important for both automatic and hybrid transmissions. To ensure a smooth clutch to clutch shift, precise synchronization between the on-coming and off-going clutches is critical. This further requires the on-coming clutch to be filled and ready for engagement at the predetermined time. Due to the compact design, currently there is no pressure sensor inside the clutch chamber, and therefore the clutch fill can only be controlled in an open loop fashion. The traditional clutch fill approach, by which the clutch fill input pressure command is manually calibrated, has a couple of limitations. First, the pressure profile is not optimized to reduce the peak flow demand during clutch fill. Moreover, it is not systematically designed to account for uncertainties in the system, such as variations of solenoid valve delay and parameters of the clutch assembly. In this paper, we present a systematic approach to evaluate the clutch fill dynamics and synthesize the optimal pressure profile. First, a clutch fill dynamic model, which captures the key dynamics in the clutch fill process, is constructed and analyzed. Second, the applicability of the conventional numerical dynamic programming (DP) method to the clutch fill control problem, which has a stiff dynamic model, is explored and shown to be ineffective. Thus, we proposed a customized DP method to obtain the optimal and robust pressure profile subject to specified constraints. The customized DP method not only reduces the computational burden significantly, but also improves the accuracy of the result by eliminating the interpolation errors. To validate the proposed method, a transmission clutch fixture has been designed and built in the laboratory. Both simulation and experimental results demonstrate that the proposed customized DP approach is effective, efficient and robust for solving the clutch fill optimal control problem.

References

1.
Wagner
,
G.
, “
Application of Transmission Systems for Different Driveline Configurations in Passenger Cars
,”
SAE Technical Paper 2001–01–0882
.
2.
Lee
,
C.J.
,
Hebbale
,
K.V.
, and
Bai
,
S.
, 2006, “
Control of a Friction Launch Automatic Transmission Using a Range Clutch
,”
Proceedings of the ASME International Mechanical Engineering Congress and Exposition
,
Chicago, IL
.
3.
Sun
,
Z.
and
Kumar
,
H.
, 2005, “
Challenges and Opportunities in Automotive Transmission Control
,”
Proceedings of American Control Conference
,
Portland, OR
, June
8
10
.
4.
Hebbale
,
K. V.
and
Kao
,
C.-K.
, 1995, “
Adaptive Control of Shifts in Automatic Transmissions
,”
Proceedings of the ASME International Mechanical Engineering Congress and Exposition
,
San Francisco, CA
.
5.
Bai
,
S.
,
Moses
,
R. L
,
Schanz
,
T.
, and
Gorman
,
M. J.
, “
Development of a New Clutch-to-Clutch Shift Control Technology
,” SAE Technical Paper 2002–01–1252.
6.
Marano
,
J. E.
,
Moorman
,
S. P.
,
Whitton
,
M. D.
, and
Williams
,
R. L.
, “
Clutch to Clutch Transmission Control Strategy
,” SAE Technical Paper 2007–01–1313.
7.
Han
,
W.
and
Yi
,
S. J.
, 2003, “
A Study of Shift Control Using the Clutch Pressure Pattern in Automatic Transmission
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.)
217
(
4
) pp.
289
298
.
8.
Miao
,
H.
,
Sun
,
Z.
,
Fair
,
J.
,
Lehrmann
,
J.
, and
Harbin
,
S.
, 2008, “
Modeling and Analysis of the Hydraulic System for Oil Budget in an Automotive Transmission
,”
Proceedings of ASME Dynamic Systems and Control Conference
,
Ann Arbor, MI
, October
20
22
.
9.
Montanari
,
M.
,
Ronchi
,
F.
,
Rossi
,
C.
,
Tilli
,
A.
, and
Tonielli
,
A.
, 2004, “
Control and Performance Evaluation of a Clutch Servo System With Hydraulic Actuation
,”
J. Control Eng. Pract.
,
12
(
11
), pp.
1369
1379
.
10.
Horn
,
J.
,
Bamberger
,
J.
,
Michau
,
P.
, and
Pindl
,
S.
, 2003, “
Flatness-Based Clutch Control for Automated Manual Transmissions
,”
J. Control Eng. Pract.
,
11
(
12
), pp.
1353
1359
.
11.
Glielmo
,
L.
,
Iannelli
,
L.
, and
Vacca
,
V.
, 2006, “
Gearshift Control for Automated Manual Transmissions
,”
IEEE/ASME Trans. Mechatron.
,
11
(
1
), pp.
17
26
.
12.
Bellman
,
R. E.
,
Dynamic Programming
(
Princeton University Press
,
New Jersey
, 1957).
13.
Bellman
,
R. E.
, and
Dreyfus
,
S. E.
, 1962,
Applied Dynamic Programming
,
Princeton University Press
,
Princeton, NJ
.
14.
Kolamanovsky
,
I.
,
Siverguina
,
I.
, and
Lygoe
,
B.
, 2002,”
Optimization of Powertrain Operating Policy for Feasibility Assessment and Calibration: Stochastic Dynamic Programming Approach
,”
Proceedings of the American Control Conference
,
Anchorage, AK
, pp.
1425
1430
, May 8–10.
15.
Kim
,
D.
,
Peng
,
H.
,
Bai
,
S.
, and
Maguire
,
J. M.
, 2007, “
Control of Integrated Powertrain with Electronic Throttle and Automatic Transmission
,”
IEEE Trans. Control Syst. Technol.
,
15
(
3
), pp.
474
482
.
16.
Kang
,
J. M.
,
Kolmanovsky
,
I.
, and
Grizzle
,
J. W.
, 2001, “
Dynamic Optimization of Lean Burn Engine After Treatment
,”
ASME J. Dyn. Syst., Meas., Control
,
123
, pp.
153
160
.
17.
De Madrid
,
A. P.
,
Dormido
,
S.
, and
Morilla
,
F.
, 1999, “
Reduction of the Dimensionality of Dynamic Programming: A Case Study
,”
Proceeding of American Control Conference
, pp
2852
2856
, June.
18.
Karnopp
,
D.
, 1985,”
Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems
”,
ASME J. Dyn. Syst., Meas., Control
,
107
(
1
), pp.
100
103
.
19.
Song
,
X.
,
Zulkefli
,
A.
,
Sun
,
Z.
, and
Miao
,
H.
, 2010, “
Modeling, Analysis, and Optimal Design of the Automotive Transmission Ball Capsule System
,”
ASME J. Dyn. Syst. Meas. Control
,
132
, pp.
021003.
20.
Song
,
X.
,
Sun
,
Z.
,
Yang
,
X.
, and
Zhu
,
G.
, 2010, “
Modeling, Control and Hardware-in-the-Loop Simulation of an Automated Manual Transmission
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.
),
224
(
2
), pp.
143
160
.
21.
Hairer
,
E.
, and
Wanner
,
G.
, 1996,
Solving Ordinary Differential Equations II
, 2nd ed.,
Springer Series in Computational Mathematics
,
Springer-Verlag, Berlin, Germany
.
22.
Gautschi
,
W.
, 1997
Numerical Analysis: An Introduction
,
Birkhauser Boston
,
Cambridge, MA
.
23.
Crassidis
,
J. L.
, and
Junkins
,
J. L.
, 2004, “
Optimal Estimation of Dynamic Systems
,”
Chapman and Hall/CRC Applied Mathematics and Nonlinear Science Series, CRC Press LLC
,
London, UK
.
You do not currently have access to this content.