Non‐fragile control for a class of fractional‐order uncertain linear systems with time‐delay

Abstract

This study addresses the non‐fragile controller design of a class of fractional‐order (FO) linear delayed systems assumed to have structured uncertainties in both the plant and the controller. By using the linear matrix inequality method, singular value decomposition and FO Razumikhin theorem, the delay‐dependent and order‐dependent robust non‐fragile state feedback controller and non‐fragile observer‐based robust state feedback controller are synthesised, respectively, based on whether the states are available or not. Three examples are presented to verify the effectiveness of the proposed schemes.