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Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI,
Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8217126, 15 pages
https://doi.org/10.1155/2017/8217126

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jiyude: 金币+5, ★★★★★最佳答案 2017-11-07 12:25:18
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Observer-Based Robust Controller Design for Nonlinear Fractional-Order Uncertain Systems via LMI


作者:Qiu, J (Qiu, Jing)[ 1 ] ; Ji, YD (Ji, Yude)[ 2 ]




MATHEMATICAL PROBLEMS IN ENGINEERING


文献号: 8217126

DOI: 10.1155/2017/8217126

出版年: 2017

查看期刊影响





































摘要

We discuss the observer-based robust controller design problem for a class of nonlinear fractional-order uncertain systems with admissible time-variant uncertainty in the case of the fractional-order satisfying 0 < alpha < 1. Based on direct Lyapunov approach, a sufficient condition for the robust asymptotic stability of the observer-based nonlinear fractional-order uncertain systems is presented. Employing Finsler's Lemma, the systematic robust stabilization design algorithm is then proposed in terms of linear matrix inequalities (LMIs). The efficiency and advantage of the proposed algorithm are finally illustrated by two numerical simulations.


关键词

KeyWords Plus:H-INFINITY CONTROL; DIFFERENTIAL-EQUATIONS; LINEAR-SYSTEMS; STABILITY ANALYSIS; LYAPUNOV APPROACH; UNKNOWN INPUT; STABILIZATION; VARIABLES; NETWORKS; SYNCHRONIZATION


作者信息

通讯作者地址: Ji, YD (通讯作者)





Hebei Univ Sci & Technol, Sch Sci, Shijiazhuang 050018, Hebei, Peoples R China.





地址:





[ 1 ] Hebei Univ Sci & Technol, Sch Informat Sci & Engn, Shijiazhuang 050018, Hebei, Peoples R China







[ 2 ] Hebei Univ Sci & Technol, Sch Sci, Shijiazhuang 050018, Hebei, Peoples R China





电子邮件地址:ji_yude@163.com


基金资助致谢



基金资助机构

授权号



National Natural Science Foundation of China


61300120



Natural Science Foundation of Hebei Province


A2015208051



Five-Platform Foundation of Hebei University of Science and Technology


2015PT21

查看基金资助信息   




出版商

HINDAWI LTD, ADAM HOUSE, 3RD FLR, 1 FITZROY SQ, LONDON, W1T 5HF, ENGLAND


类别 / 分类

研究方向:Engineering; Mathematics

Web of Science 类别:Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications


文献信息

文献类型:Article

语种:English

入藏号: WOS:000409228400001

ISSN: 1024-123X

eISSN: 1563-5147


其他信息

IDS 号: FF7WZ

Web of Science 核心合集中的 "引用的参考文献": 57

Web of Science 核心合集中的 "被引频次": 0
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