LPV modelling and identification of an open canal for control

Open canals are large distributed systems characterised by non-linear, time-varying and dependent with the operating point behaviour. Then, these systems can be suitably represented for control by linear parameter varying (LPV) models. In this paper, three ways of obtaining an LPV model for a single reach open canal are treated and compared: physical LPV modelling, multi-model identification and LPV identification. The first approach is a grey-box modelling approach while the two last are black-box approaches using experimental data. Finally, they will be applied and compared in a test-bench canal.