Robust stabilization of uncertain descriptor fractional-order systems with the fractional order α(0 < α < 1)

被引：0

作者：

Zhang, Xuefeng ^{[1
]}

Li, Bingxin ^{[1
]}

机构：

[1] Northeastern Univ, Sch Sci, Shenyang 110004, Peoples R China

来源：

PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年

关键词：

Descriptor fractional-order system; Linear matrix inequalities (LMI); Robust stability; State feedback control; CONTROLLERS; STABILITY;

D O I：

暂无

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 the paper, a necessary and sufficient condition for uncertain descriptor fractional-order systems is given. The result is given in terms of linear matrix inequalities (LMI). The uncertainties are supposed to be time-invariant and norm-bounded appearing in the state matrix. Robust stability of the state feedback control for uncertain descriptor fractional-order systems with the fractional order alpha(0 < alpha < 1) is derived. Finally, a numerical example is given to verify the applicability of the proposed approach.

引用

页码：560 / 563

页数：4

共 50 条

[1] Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order α: The 0 < α < 1 Case
Lu, Jun-Guo
Chen, Yang-Quan
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) : 152 - 158
[2] Robust stabilization for rectangular descriptor fractional order interval systems with order 0 < α < 1
Zhang, Xuefeng
Zhao, Zeli
APPLIED MATHEMATICS AND COMPUTATION, 2020, 366
[3] Robust stabilization of uncertain descriptor fractional-order systems
N'Doye, Ibrahima
Darouach, Mohamed
Zasadzinski, Michel
Radhy, Nour-Eddine
AUTOMATICA, 2013, 49 (06) : 1907 - 1913
[4] Output feedback robust H∞ control for uncertain descriptor fractional order systems with 0 < α < 1
Zhang, Xuefeng
Ai, Jie
JOURNAL OF VIBRATION AND CONTROL, 2023, 29 (11-12) : 2647 - 2657
[5] THE CONTROLLER DESIGN FOR SINGULAR FRACTIONAL-ORDER SYSTEMS WITH FRACTIONAL ORDER 0 < α < 1
Zhan, T.
Ma, S. P.
ANZIAM JOURNAL, 2018, 60 (02) : 230 - 248
[6] Admissibility and robust stabilization of continuous linear singular fractional order systems with the fractional order α: The 0 < α < 1 case
Zhang, Xuefeng
Chen, YangQuan
ISA TRANSACTIONS, 2018, 82 : 42 - 50
[7] Observer-based robust control of (0 < α < 1) fractional-order linear uncertain control systems
Li, Bingxin
Zhang, Xuefeng
IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (14) : 1724 - 1731
[8] Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2
Huang, Sunhua
Wang, Bin
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (03):
[9] Robust stability of fractional-order systems with mixed uncertainties: The 0 < α < 1 case
Zhang, Qing-Hao
Lu, Jun-Guo
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 126
[10] Robust Stability Analysis of Uncertain Linear Fractional-Order Systems With Time-Varying Uncertainty for 0 < α < 2
Tavazoei, Mohammad
Asemani, Mohammad Hassan
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2019, 141 (03):

← 1 2 3 4 5 →

Robust stabilization of uncertain descriptor fractional-order systems with the fractional order α(0 &lt; α &lt; 1)

Robust stabilization of uncertain descriptor fractional-order systems with the fractional order α(0 < α < 1)