Dynamic output feedback stabilization of singular fractional-order systems
type: Item
instance of: scholarly article
title: Dynamic output feedback stabilization of singular fractional-order systems
zbMATH Open document ID: 1400.93258
DOI: 10.1155/2016/9694780
author: Yanchai Liu
author: Liu Cui
author: Dengping Duan
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper is concerned with dynamic output feedback controller (DOFC) design problem for singular fractional-order systems with the fractional-order \(\alpha\) satisfying \(0 < \alpha < 2\). Based on the stability theory of fractional-order system, sufficient and necessary conditions are derived for the admissibility of the systems, which are more convenient to analytical design of stabilizing controllers than the existing results. A full-order DOFC is then synthesized based on the obtained conditions and the characteristics of Moore-Penrose inverse. Finally, a numerical example is presented to show the effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34H15
zbMATH DE Number: 6953837
MaRDI profile type: Publication
Wikidata QID: Q59141326
full work available at URL: https://doi.org/10.1155/2016/9694780
OpenAlex ID: W2429820875
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description: scientific article; zbMATH DE number 6953837