In this paper, randomized algorithms are used to design an open-loop control for a clutch-to-clutch shift automatic transmission and to study the robustness of that control. The open-loop control design problem can be posed as an optimal control problem but because of the computational cost associated with each simulation and the complexity of the transmission model, classical results from optimal control theory are not a practically feasible approach for this problem. We apply randomized search algorithms for optimization to these problems and present some promising results.

1.
Ali, M., Storey, C., and Torn, A., 1996, “Application of Some Recent Stochastic Global Optimization Algorithms to Practical Problems,” Technical Report 47, Turku Center for Computer Science.
2.
Ali, M., Torn, A., and Viitanen, S., 1997, “A Numerical Comparison of Some Modified Controlled Random Search Algorithms,” Technical Report 98, Turku Centre for Computer Science.
3.
Bazaraa, M., Sherali, H., and Shetty, C. M., 1993, Nonlinear Programming—Theory and Algorithms (Second Ed.), Wiley, NY.
4.
Betts, J. T., 1994, “Issues in the Direct Transcription of Optimal Control Problems to Sparse Nonlinear Programs,” in R. Bulirsch and D. Kraft, (eds.), Computational Optimal Control, pp. 3–17. Birkhauser Verlag.
5.
Cho, D., 1987, “Nonlinear Control Methods for Autmotive Powertrain Systems,” Ph. D. thesis, Massachusetts Institute of Technology, Department of Mechanical Engineering.
6.
Cho
D.
, and
Hedrick
J.
,
1989
, “
Automotive Powertrain Modeling for Control
,”
Trans. ASME
, Vol.
111
, pp.
568
576
.
7.
Duan
Q.
,
Sorooshian
S.
, and
Gupta
V.
,
1992
, “
Effective and efficient global optimization for conceptual rainfall-runoff models
,”
Water Resources Research
, Vol.
28
(
4
), pp.
1015
1031
.
8.
Duan
Q.
,
Sorooshian
S.
, and
Gupta
V.
,
1994
, “
Optimal use of the SCE-UA global optimization method for calibrating watershed models
,”
Journal of Hydrology
, Vol.
158
, pp.
265
284
.
9.
Kim, Y., Yang, J., and Lee, J., 1994, “A Study on the Transient Characteristics of Automatic Transmission with Detailed Dynamic Modeling,” SAE Paper 941014.
10.
Kotwicki, A., 1982, “Dynamic Models for Torque Converter Equipped Vehicles,” SAE Paper 820393.
11.
Lee, J., Peng, H., and Park, Y., 1997, “Modeling of a 5-speed automatic transmission for shift-quality control,” Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, Texas, pp. 661–669.
12.
Moskwa
J.
, and
Hedrick
J.
,
1992
, “
Modeling and Validation of Automotive Engines for Control Algorithm Development
,”
Trans. ASME
, Vol.
114
, pp.
278
285
.
13.
Nelder
J. A.
, and
Mead
R.
,
1965
, “
A Simplex Method for Function Minimization
,”
Computer Journal
, Vol.
7
, pp.
308
313
.
14.
Rosen
O.
, and
Luus
R.
,
1992
, “
Global Optimization Approach to Nonlinear Optimal Control
,”
Journal of Optimization Theory and Applications
, Vol.
73
(
3
), pp.
547
562
.
15.
Sacks
J.
,
Schiller
S.
, and
Welch
W.
,
1989
, “
Designs for Computer Experiments
,”
Technometrics
, Vol.
31
, pp.
41
47
.
16.
Schwab, L., 1994, “Development of a Shift Quality Metric for an Automatic Transmission,” SAE Paper 941009.
17.
Vlassenbroeck
J.
,
1988
, “
A Chebyshev Polynomial Method for Optimal Control with State Constraints
,”
Automatica
, Vol.
24
(
4
), pp.
499
505
.
18.
Winchell, F., and Route, W., 1988, “Ratio Changing the Passenger Car Automatic Transmission,” Design Practices—Passenger Car Automatic Transmissions, SAE Publication on Advances in Engineering 5.
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