New results on sampled‐data output‐feedback control of linear parameter‐varying systems

This article presents a novel sampled‐data static output‐feedback control technique for continuous‐time linear parameter‐varying (LPV) systems. Particularly, the input‐delay approach is introduced to map the sample‐and‐hold dynamics into the continuous‐time domain with delay in the states. This, together with a new parameter‐dependent Lyapunov–Krasovskii functional, results in a bounded real lemma for the underlying closed‐loop LPV systems. Furthermore, application of convex optimization techniques transforms the controller synthesis problem into the feasibility of a group of parameterized matrix inequalities. It is also shown that the convexification procedures allow for controller dependence on time‐varying parameters. Simulation studies are conducted on a case comparison and an overhead crane model to validate the efficacy and less conservatism of the result.