Set-membership identification of LPV models with uncertain measurements of the time-varying parameter

In this paper the identification of SISO linear parameter varying (LPV) models when both the output and the time-varying parameter measurements are affected by bounded noise is considered. First, the problem is formulated in terms of Error-in-variables (EIV) identification in presence of bounded noise. Then, a polytopic outer approximation of the feasible parameter set (FPS) and the parameters uncertainty intervals (PUI) of the LPV model are computed solving the EIV problem.