Stability and robust stabilization of uncertain switched fractional order systems

被引：27
作者：
Zhang, Xuefeng [1 ]
Wang, Zhe [1 ]
机构：
[1] Northeastern Univ, Sch Sci, Shenyang 110819, Liaoning, Peoples R China
来源：
ISA TRANSACTIONS | 2020年 / 103卷
关键词：
Fractional order systems; Switched systems; Equivalence; Stabilization; Linear matrix inequality (LMI); FINITE-TIME STABILITY; TRACKING CONTROL; LINEAR-SYSTEMS; SUFFICIENT; LYAPUNOV; DESIGN; DELAY;
D O I：
10.1016/j.isatra.2020.03.019
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the stability and robust stabilization of switched fractional order systems are concerned. Firstly, two stability theorems for switched fractional order systems with order 0 < alpha < 1 and 1 < alpha < 2 under the arbitrary switching law are given. Secondly, the relationship between the stability of switched integer order systems and that of switched fractional order systems is obtained. Finally, the robust stabilization of uncertain switched fractional order systems under the common switching law is further discussed. The state feedback control gains are obtained under both the sensor and actuator faults in terms of linear matrix inequalities. A practical electrical circuit example and four numerical simulation examples are presented to show the effectiveness of our results. (C) 2020 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 9
页数：9
相关论文
共 49 条
[1]   Necessary and sufficient stability condition of fractional-order interval linear systems [J].
Ahn, Hyo-Sung ;
Chen, YangQuan .
AUTOMATICA, 2008, 44 (11) :2985-2988
[2]  
[Anonymous], IEEE INT C AUT LOG Q
[3]   ON THE STABILIZATION OF LINEAR TIME INVARIANT FRACTIONAL ORDER COMMENSURATE SWITCHED SYSTEMS [J].
Balochian, Saeed .
ASIAN JOURNAL OF CONTROL, 2015, 17 (01) :133-141
[4]   Sufficient condition for stabilization of linear time invariant fractional order switched systems and variable structure control stabilizers [J].
Balochian, Saeed ;
Sedigh, Ali Khaki .
ISA TRANSACTIONS, 2012, 51 (01) :65-73
[5]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[6]  
der S. A. J. v., 1999, INTRO HYBRID DYNAMIC
[7]   Hybrid Dynamical Systems [J].
Goebel, Rafal ;
Sanfelice, Ricardo G. ;
Teel, Andrew R. .
IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02) :28-93
[8]   Stability of fractional order switching systems [J].
Hassan HosseinNia, S. ;
Tejado, Ines ;
Vinagre, Bias M. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) :585-596
[9]   Design of fuzzy output feedback stabilization for uncertain fractional-order systems [J].
Ji, Yude ;
Su, Lianqing ;
Qiu, Jiqing .
NEUROCOMPUTING, 2016, 173 :1683-1693
[10]   Observer-based robust control of (0 &lt; α &lt; 1) fractional-order linear uncertain control systems [J].
Li, Bingxin ;
Zhang, Xuefeng .
IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (14) :1724-1731
12345