Faulwasser, TimmTimmFaulwasserHagenmeyer, VeitVeitHagenmeyerFindeisen, RolfRolfFindeisen2024-02-272024-02-27201118th IFAC World Congress International Federation of Automatic Control (IFAC 2011)978-3-902661-93-7https://hdl.handle.net/11420/46005We propose a dynamic optimization approach to calculate optimal feedforward controls for exact path-following problems of differentially at systems. In addition to the derivation of a small dimensional optimal control problem, we provide easily checkable conditions on the existence of inputs guaranteeing that a given path is exactly followable in the presence of constraints on states and inputs. Our approach is based on the projection of the feedforward controlled nonlinear MIMO dynamics along a geometric path onto a linear single-input system in Brunovský normal form. The presented results indicate how the computation of admissible trajectories for set-point changes can be simplified by relying on so called steady state consistent paths. The set-point change of a Van der Vusse reactor is considered as an example. © 2011 IFAC.en1474-667020111 PART 198759880ElsevierDifferentially at systemsInput and state constraintsOptimal controlPath-followingComputer SciencesElectrical Engineering, Electronic EngineeringConference Paper10.3182/20110828-6-IT-1002.03132Conference Paper