Stabilization of fractional-order singular uncertain systems

被引：75

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

页码：53 / 64

页数：12

共 50 条

[21] Novel admissibility and robust stabilization conditions for fractional-order singular systems with polytopic uncertainties [J].

Zhang, Qing-Hao ;

Lu, Jun-Guo .

ASIAN JOURNAL OF CONTROL, 2024, 26 (01) :70-84

[22] LMI Criteria for Admissibility and Robust Stabilization of Singular Fractional-Order Systems Possessing Poly-Topic Uncertainties [J].

Zhang, Xuefeng ;

Dong, Jia .

FRACTAL AND FRACTIONAL, 2020, 4 (04) :1-11

[23] Robust stability bounds of uncertain fractional-order systems [J].

Ma, YingDong ;

Lu, Jun-Guo ;

Chen, WeiDong ;

Chen, YangQuan .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (01) :136-153

[24] An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers [J].

Hamamci, Serdar Ethem .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (10) :1964-1969

[25] Stabilization Criterion for A Class of Interval Fractional-order Systems Using Fractional-order PIλ Controllers [J].

Gao Z. .

Zidonghua Xuebao/Acta Automatica Sinica, 2017, 43 (11) :1993-2002

[26] Dynamic robust stabilization of fractional-order linear systems with nonlinear uncertain parameters: an LMI approach [J].

Badri, Pouya ;

Sojoodi, Mahdi ;

Zavvari, Elyar .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2021, 50 (04) :434-457

[27] Computation of frequency responses for uncertain fractional-order systems [J].

Nataraj, Paluri S. V. ;

Kalla, Rambabu .

INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL, 2010, 4 (02) :201-217

[28] Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1 [J].

Zhang, X. F. ;

Ai, J. .

IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (05) :129-140

[29] Stability and stabilization of a class of fractional-order nonlinear systems for [J].

Huang, Sunhua ;

Wang, Bin .

NONLINEAR DYNAMICS, 2017, 88 (02) :973-984

[30] Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems [J].

Huang, Sunhua ;

Wang, Bin .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2019, 14 (05)

← 1 2 3 4 5 →