Design of static output feedback controller for fractional-order T-S fuzzy system
type: Item
instance of: scholarly article
title: Design of static output feedback controller for fractional-order T-S fuzzy system
zbMATH Open document ID: 1459.93148
DOI: 10.1155/2020/7898109
author: Zhile Xia
published in: Mathematical Problems in Engineering
publication date: 2020-07-13T00:00:00Z
review text: Summary: This paper studies the design of fuzzy static output feedback controllers for two kinds of fractional-order T-S fuzzy systems. The fractional order \(\alpha\) satisfies \(0<\alpha<1\) and \(1\leq\alpha<2\). Based on the fractional order theory, matrix decomposition technique, and projection theorem, four new sufficient conditions for the asymptotic stability of the system and the corresponding controller design methods are given. All the results can be expressed by linear matrix inequalities, and the relationship between fuzzy subsystems is also considered. These have great advantages in solving the results and reducing the conservatism. Finally, a simulation example is given to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 7219960
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7898109
OpenAlex ID: W3034174321
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description: scientific article; zbMATH DE number 7219960