Sampled-data control of singular systems with time delays
type: Item
instance of: scholarly article
title: Sampled-data control of singular systems with time delays
zbMATH Open document ID: 1406.93199
DOI: 10.1155/2014/569878
author: Zheng Minjie
author: Zhou Yujie
author: Yang Shenhua
author: Li Lina
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with sampled-data controller design for singular systems with time delay. It is assumed that the sampling periods are arbitrarily varying but bounded. A time-dependent Lyapunov function is proposed, which is positive definite at sampling times but not necessarily positive definite inside the sampling intervals. Combining input delay approach with Lyapunov method, sufficient conditions are derived which guarante that the singular system is regular, impulse free, and exponentially stable. Then, the existence conditions of desired sampled-data controller can be obtained, which are formulated in terms of strict linear matrix inequality. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7022631
zbMATH Keywords: sampled-data control
zbMATH Keywords: singular systems
zbMATH Keywords: exponential stability
Wikidata QID: Q59039539
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/569878
OpenAlex ID: W1987999299
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description: scientific article; zbMATH DE number 7022631