Dynamics and Control of Advanced Structures and Machines by Hans Irschik Alexander Belyaev & Michael Krommer

Author:Hans Irschik, Alexander Belyaev & Michael Krommer
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

It is obtained by

According to the Receding Horizon MPC formulation (see, e.g., [2]) the predicted system output is

where

In order to formulate the optimization problem in a compact way the vectors and are introduced.

In the design it is also necessary to consider two hard constraints. The control input is limited within 0–100 % and the temperature is not allowed to exceed an upper limit. The limit depends heavily on the used chemical solvent and the process recipe. Incorporating these two constraints in the control problem leads to the optimization problem:

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