A framework for modeling and optimal control of automatic transmission systems
Development of efficient control algorithms for the control of automatic transmission
systems is crucial to maintain passenger comfort and operational life of the transmission
components. An optimization framework is developed by state space modeling of a powertrain
including a nine speed automatic transmission, diesel engine, torque converter and a model
for longitudinal vehicle dynamics considering drive shaft as the only flexibility of the driveline.
Emphasis is set on the kinematics of the automatic transmission with the aim of modeling for
gearshift optimal control during the inertia phase. Considering the interacting forces between
planetary gearsets, clutches and brakes in the transmission, kinematic equations of motion are
derived for rotating transmission components enabling to calculate both transmission dynamics
and internal forces. The model is then used in optimal control problem formulations for the
analysis of optimal control transients in two up-shift cases.
Vaheed Nezhadali and Lars Eriksson
2015

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