General output feedback stabilization for fractional order systems: an LMI approach
type: Item
instance of: scholarly article
title: General output feedback stabilization for fractional order systems: an LMI approach
zbMATH Open document ID: 1406.93271
DOI: 10.1155/2014/737495
author: Yiheng Wei
author: Hamid Reza Karimi
author: Shu Liang
author: Qing Gao
author: Yong Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order \(0 < \alpha < 2\). The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with \(0 < \alpha < 1\). Furthermore, the results are extended to stabilize the FO-LTI systems with \(1 \leq \alpha < 2\). Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 7022980
zbMATH Keywords: output feedback stabilization
zbMATH Keywords: fractional order systems
zbMATH Keywords: robust output feedback control
Wikidata QID: Q59041064
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/737495
OpenAlex ID: W2025076994
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description: scientific article; zbMATH DE number 7022980