Progressor Transformation of Dynamical Systems and Application to Dynamic Optimization
Chapter
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3137187Utgivelsesdato
2023Metadata
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Originalversjon
10.1109/CCTA54093.2023.10252981Sammendrag
Motivated by dynamic optimization of aluminium extrusion, this paper demonstrates how a progressor transformation of dynamical models can simplify the implementation of simultaneous methods for dynamic optimization. The implementation of direct collocation becomes difficult when the model exhibits known discontinuous changes, but at unknown times. If the model changes happen at known values in another progressor, the model can be transformed and implemented effortlessly. An example from the extrusion process is given, where the extrusion process model is transformed from time to extrusion length. The transformation allowed the implementation of direct collocation. In addition, the predictability of the transformed model allowed nearly a 50 percent reduction in state variables for describing the aluminium billet throughout the extrusion phase. Progressor Transformation of Dynamical Systems and Application to Dynamic Optimization