Refining parameter mismatch handling in LPV sampled-data controller design

Abstract

This paper presents a refined approach to cope with the problem of parameter mismatch in the design conditions of sampled-data controllers for Linear Parameter-Varying (LPV) systems, which occurs between consecutive sampling instants. Using the input delay approach, we propose a novel strategy that applies the mean value theorem while explicitly incorporating the delay into the stability conditions. This method avoids the spread of mismatch terms across all parameter-dependent matrices, yielding less conservative controller synthesis conditions and enabling larger sampling intervals than existing techniques. Despite its simplicity, our approach demonstrates superior performance relative to conditions in the literature, as shown by a numerical example.