Robust preview control for a class of uncertain discrete-time Lipschitz nonlinear systems
type: Item
instance of: scholarly article
title: Robust preview control for a class of uncertain discrete-time Lipschitz nonlinear systems
zbMATH Open document ID: 1427.93139
DOI: 10.1155/2018/4606389
author: Fucheng Liao
author: Jiamei Deng
author: Xiao Yu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper considers the design of the robust preview controller for a class of uncertain discrete-time Lipschitz nonlinear systems. According to the preview control theory, an augmented error system including the tracking error and the known future information on the reference signal is constructed. To avoid static error, a discrete integrator is introduced. Using the linear matrix inequality (LMI) approach, a state feedback controller is developed to guarantee that the closed-loop system of the augmented error system is asymptotically stable with \(H_\infty\) performance. Based on this, the robust preview tracking controller of the original system is obtained. Finally, two numerical examples are included to show the effectiveness of the proposed controller.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 7018989
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4606389
OpenAlex ID: W2890949880
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description: scientific article; zbMATH DE number 7018989