Model predictive control relevant identification: multiple input multiple output against multiple input single output

Model predictive control (MPC) relevant identification (MRI) can be performed by minimising a cost function containing identification errors from multistep ahead predictions. The multiple MISO (multiple input single output) identification approach is often preferred to the MIMO (multiple input multiple output) identification approach in traditional one-step ahead identification. This study aims at comparing the MIMO and multiple MISO identification approaches in MRI. It is argued in this study that, unlike in the one-step ahead approach, MIMO identification is preferable in MRI. As an example, a non-linear MIMO proton exchange membrane fuel cell (PEMFC) is approximated in the neighbourhood of an operating point using the MIMO and MISO approaches.