Stabilization of fractional-order singular uncertain systems

被引：73
作者：
Ji, Yude [1 ,2 ]
Qiu, Jiqing [2 ]
机构：
[1] Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050024, Hebei, Peoples R China
[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
来源：
ISA TRANSACTIONS | 2015年 / 56卷
关键词：
Fractional-order systems; Feedback controller; Linear matrix inequality (LMI); ROBUST STABILITY ANALYSIS; LINEAR-SYSTEMS;
D O I：
10.1016/j.isatra.2014.11.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：53 / 64
页数：12
相关论文
共 50 条
[31]   LMI-based stabilization of a class of fractional-order chaotic systems [J].
Faieghi, Mohammadreza ;
Kuntanapreeda, Suwat ;
Delavari, Hadi ;
Baleanu, Dumitru .
NONLINEAR DYNAMICS, 2013, 72 (1-2) :301-309
[32]   LMI-based stabilization of a class of fractional-order chaotic systems [J].
Mohammadreza Faieghi ;
Suwat Kuntanapreeda ;
Hadi Delavari ;
Dumitru Baleanu .
Nonlinear Dynamics, 2013, 72 :301-309
[33]   Observer-based controller design for uncertain singular fractional-order systems via LMI approach [J].
Zhang, Xuefeng ;
Lv, Yuanwei ;
Long, Linghui .
2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, :10141-10145
[34]   DESIGN OF UNKNOWN INPUT FRACTIONAL-ORDER OBSERVERS FOR FRACTIONAL-ORDER SYSTEMS [J].
N'Doye, Ibrahima ;
Darouach, Mohamed ;
Voos, Holger ;
Zasadzinski, Michel .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) :491-500
[35]   Comments on "An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers" [J].
Hohenbichler, Norbert .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (11) :2712-2712
[36]   Output feedback stabilization of type 2 fuzzy singular fractional-order systems with mismatched membership functions [J].
Jin, Kaijing ;
Zhang, Xuefeng .
SOFT COMPUTING, 2022,
[37]   Output feedback stabilization of type 2 fuzzy singular fractional-order systems with mismatched membership functions [J].
Kaijing Jin ;
Xuefeng Zhang .
Soft Computing, 2023, 27 :4917-4929
[38]   Output feedback stabilization of type 2 fuzzy singular fractional-order systems with mismatched membership functions [J].
Jin, Kaijing ;
Zhang, Xuefeng .
SOFT COMPUTING, 2023, 27 (08) :4917-4929
[39]   Computation of Stability Margins for Uncertain Linear Fractional-Order Systems [J].
Nataraj, P. S. V. ;
Kalla, Rambabu .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (01) :1-6
[40]   Fault tolerant control of fractional-order singular systems against actuator faults [J].
Zhang, Xuefeng ;
He, Yepeng .
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, :2392-2397
12345