Preview control for uncertain discrete-time periodic systems

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.

Automated summary

This article presents a designing method for observer-based feedback preview control and static output feedback preview control for linear uncertain discrete-time periodic systems. The approach involves employing a difference operator and state augmentation technique to derive an augmented error system, designing a state observer and preview controller for signal tracking performance, and obtaining sufficient conditions for closed-loop systems using Lyapunov stability theory. Two numerical simulation examples are provided to demonstrate the effectiveness of the proposed method.