Preview control for uncertain discrete‐time periodic systems

Abstract

Abstract This article concerns the designing observer‐based feedback preview control and static output feedback preview control for linear uncertain discrete‐time periodic systems subject to previewable reference signal. First, a difference operator approach and a state augmentation technique are employed to derive an augmented error system. Second, considering the state unmeasured and previewable reference signal, a state observer and a preview controller are designed to achieve signal tracking performance. Then, by the Lyapunov stability theory, some sufficient conditions are obtained for the closed‐loop systems in linear matrix inequality form. Finally, two numerical simulation examples are presented to illustrate the effectiveness of the proposed method.