Development and Usage of a Continuously Differentiable Heavy Duty Diesel Engine Model Equipped with VGT and EGR
Today’s need for fuel efficient vehicles, together with increasing
engine component complexity, makes optimal control a valuable tool
in the process of finding the most fuel efficient control strategies. To
efficiently calculate the solution to optimal control problems a
gradient based optimization technique is desirable, making
continuously differentiable models preferable. Many existing
control-oriented Diesel engine models do not fully posses this
property, often due to signal saturations or discrete conditions. This
paper offers a continuously differentiable, mean value engine model,
of a heavy-duty diesel engine equipped with VGT and EGR, suitable
for optimal control purposes. The model is developed from an
existing, validated, engine model, but adapted to be continuously
differentiable and therefore tailored for usage in an optimal control
environment. The changes due to the conversion are quantified and
presented. Furthermore, it is shown and analyzed how to optimally
control the engine in a fuel optimal way under steady-state
conditions, and in a time optimal way in a tip-in scenario.
Viktor Leek, Kristoffer Ekberg and Lars Eriksson
2017
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