New generation of torque converter automatic transmissions (AT) includes a large number of gears for improved fuel economy and vehicle performance, which leads to exponentially increasing number of shift types and shift events. In order to facilitate various numerical/simulation analyses of AT dynamics, shift control optimization, and control strategy design, a full-order AT model is usually reduced by eliminating state variables related to locked clutches in particular gears or shifts. The paper proposes an automated model-order reduction method for an arbitrary, user-specified clutch state, and demonstrates its application on an example of ten-speed AT. The method is based on determining the locked-clutch torque variables and their substitution into the full-order state-space model input vector, as well as finding a linear relation between the reduced-order and full-order model state-space variables.
An Automated Model-Order Reduction Method for Automatic Transmissions
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received February 25, 2016; final manuscript received December 14, 2016; published online May 9, 2017. Assoc. Editor: Junmin Wang.
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Ranogajec, V., and Deur, J. (May 9, 2017). "An Automated Model-Order Reduction Method for Automatic Transmissions." ASME. J. Dyn. Sys., Meas., Control. July 2017; 139(7): 071004. https://doi.org/10.1115/1.4035607
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