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.