Real-Time Strategies for Optimization in Nonlinear Model Predictive Control

Moritz Diehl (University of Heidelberg)

Nonlinear model predictive control(NMPC) techniques require the reliable solution of subsequent dynamic optimization problems in real time. In this talk, efficient direct multiple shooting strategies are presented that exploit the specific structure of the subsequent NMPC optimization problems. These techniques comprise the off-line precalculation of derivative information as well as the re-use of solution information from one optimization problem to the next.

A 'dovetail connection' of the iterative optimization algorithm with the real process dynamics is described that may reduce response times considerably, though at the expense of optimality. Numerical simulations of the nonlinear model predictive control of a continuous stirred tank reactor are presented, as well as preliminary results for a distillation column described by differential algebraic equations.

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