Robust preview control for uncertain discrete singular systems
type: Item
instance of: scholarly article
title: Robust preview control for uncertain discrete singular systems
zbMATH Open document ID: 1426.93186
DOI: 10.1155/2018/1096793
author: Jiang Wu
author: Fucheng Liao
author: Yifan Shao
author: Shujie Gao
author: Hao Wang
author: Zheng Guang Xu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this paper, the problem of robust preview control for uncertain discrete singular systems is considered. First of all, by employing the forward difference for uncertain discrete singular systems, the singular augmented error system with the state vector, the input control vector, and the previewable reference signal is derived. Since there is a singular matrix in the system, the existing method cannot be directly applied to this problem. By considering the stability of the transposition system with Linear Matrix Inequality (LMI) method, a new stability criterion for the transposition system is introduced. Then, the robust controller for the augmented error system is obtained, which is regarded as the robust preview controller for the original singular system. At last, the numerical simulation shows the correctness and effectiveness of the results.
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 7018456
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1096793
OpenAlex ID: W2900863957
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Wikidata QID: Q128985005
description: scientific article; zbMATH DE number 7018456