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Center of Excellence forOptimization in Engineering H. J. Ferreau, G. Lorini, M. Diehl
Fast NMPC of Gasoline Engines
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Principle of Optimal Feedback Control / Nonlinear MPC:
Center of Excellence forOptimization in Engineering H. J. Ferreau, G. Lorini, M. Diehl
Fast NMPC of Gasoline Engines
Distillation column (with Univ. Stuttgart)
Polymeri-sation reactor (with BASF)
Chromatographic Separation (with Univ. Dortmund)
Combined Cycle Power Plant (with Univ. Pavia)
PET plant: Plant wide control project with Politecnico di Milano
Car Engines: EU Project with Univ. Linz, Stuttgart, Politecnico di Milano
NMPC applications, with decreasing timescales
Looping kites for power generation, with Politecnico di Torino
Robot arms (with Columbia Univ. & INRIA Grenoble)
Center of Excellence forOptimization in Engineering H. J. Ferreau, G. Lorini, M. Diehl
Fast NMPC of Gasoline Engines
NMPC Computation from 1998 to 2006
1998: 5th order distillation model allows sampling times of only 5 minutes [Allgower, Findeisen, 1998]
2001: 206th order distillation model, sampling times of 20 seconds [D. et al. ‚01]
2006: 5th order engine model, sampling times of 10-20 milliseconds [Ferreau et al. ‘06]
5*60*1000 / 20 = 15 000 times faster, due toMoore‘s law + Algorithm Development
Center of Excellence forOptimization in Engineering H. J. Ferreau, G. Lorini, M. Diehl
Fast NMPC of Gasoline Engines
Crucial Algorithmic Features for Fast NMPC
Direct, simultaneous optimal control approach for fast nonlinear convergence (multiple shooting or collocation)
Efficient derivative generation for ODE/DAE solvers
Initialization by „Initial Value Embedding“ („Continuation“, „Sensitivity Update“, „1st Order Predictor“,...)
Real-Time Iterations for fast tracking of optimal solutions