Abstract
This paper deals with state observation of discrete time LPV systems in the special situation when the parameters are not exactly known (estimated with a finite accuracy or affected by noise or bounded disturbances during their measurement). In ((Millerioux et al., 2004)), it was shown that despite of the resulting mismatch between the true parameters and the available ones, the state reconstruction error boundedness can be guaranteed and an explicit but possibly conservative bound can be derived. The objective here is to propose a procedure in order to improve the gap between this bound and the actual one. The main result consists in a convex optimization problem which allows to select among all possible polytopic observers the one which minimizes the observation error bound in the steady state.
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