LPV/LFT modelling and identification: overview, synergies and a case study

Abstract

The current state-of-the-art in the fields of control-oriented LPV modelling and LPV system identification is surveyed and the potential synergies between the two research areas are highlighted and discussed. Indeed, a number of methods and tools for the development of LPV models from nonlinear systems, for the symbolic realisation and manipulation of LFT representations and for the identification of black-box LPV and LFT models from input/output data have been derived, in a rather independent way, in different research communities. The relative merits of analytical and experimental methods for the derivation of LPV models, as well as possible combinations of the two approaches, are analysed and eventually evaluated on a case study based on the modelling of a thermo-fluid system.