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ÎÄÕ±êÌ⣺Stabilization of fractional-order singular uncertain systems
·¢±íÄêÓëÆÚ¾í£ºISA Transactions£¬Volume 56, May 2015, Pages 53¨C64
ÎÄÕÂdoiΪ : 10.1016/j.isatra.2014.11.016
È«ÎÄÁ´½Ó£ºhttps://www.sciencedirect.com/sc ... i/S0019057814002948

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Ðľ²_ÒÀÈ»: LS-EPI+1, ¸ÐлӦÖú 2015-08-30 17:06:09
Stabilization of fractional-order singular uncertain systems
×÷Õß:Ji, YD (Ji, Yude)[ 1,2 ] ; Qiu, JQ (Qiu, Jiqing)[ 2 ]
ISA TRANSACTIONS
¾í: 56  Ò³: 53-64
DOI: 10.1016/j.isatra.2014.11.016
³ö°æÄê: MAY 2015
²é¿´ÆÚ¿¯ÐÅÏ¢
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This paper focuses on the state and static output feedback stabilization for fractional-order singular (FOS) uncertain linear systems with the fractional commensurate order 0 < alpha < 1, respectively. The objective is to design suitable feedback controllers that guarantee the stability of resulting closed-loop control systems. First, the sufficient conditions for robust asymptotical stability of the closed-loop control systems are presented. Next, based on the matrix's singular value decomposition (SVD) and linear matrix inequality (LMI) technics, some new results in the form of LMI are developed to the state and static output feedback controller synthesis for the FOS systems. Finally, three numerical examples are given to illustrate the effectiveness of the proposed design methods. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:Fractional-order systems; Feedback controller; Linear matrix inequality (LMI)
KeyWords Plus:MATRIX INEQUALITY APPROACH; ROBUST STABILITY ANALYSIS; LINEAR-SYSTEMS
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Ji, YD (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China.
µØÖ·:
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
µç×ÓÓʼþµØÖ·:jiyude-1980@163.com; qiujiqing@263.net
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
National Natural Science Foundation of PR China        
11371120
Natural Science Foundation of Hebei Province        
A2013208147
F2014208042
A2015208051
Education Department of Hebei Province Science and Technology Research Project        
Z2014095
Z2013136
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
³ö°æÉÌ
ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Engineering; Instruments & Instrumentation
Web of Science Àà±ð:Engineering, Multidisciplinary; Instruments & Instrumentation
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000356128000006
PubMed ID: 25528292
ISSN: 0019-0578
eISSN: 1879-2022
ÆÚ¿¯ÐÅÏ¢
Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: CK3PM
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 27
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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