Motion planning for a Diesel Oxidation Catalyst outlet temperature

A simple distributed parameter model is proposed for a Diesel Oxidation Catalyst (DOC). This model focuses on the propagation of the inlet temperature variations. The inlet-to-outlet temperature transfer function is computed. Its inversion allows to derive an open-loop control law corresponding to finite-time transitions of the outlet temperature. However, this straightforward strategy has some shortcomings. In particular, the obtained control histories are, for presented cases of engineering interest, inconsistent with the performance of available actuators. To address this issue, a constrained optimization approach is proposed. The results lead to a surprisingly simple control law.