Sampled-Data Stabilization for a Class of Fractional-Order Switched Nonlinear Systems

被引：6

作者：

Feng, Zaiyong ^{[1
,2
]}

Li, Shi ^{[3
]}

Zou, Wencheng ^{[1
]}

Xiang, Zhengrong ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] Nanjing Inst Railway Technol, Dept Basic Sci, Nanjing 210031, Peoples R China

[3] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing 210023, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2024年 / 54卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fractional-order nonlinear system (FONS); fuzzy-logic system (FLS); sampled-data control; switched system; uniformly ultimate boundedness; MULTIAGENT SYSTEMS; DIFFERENTIAL-EQUATIONS; STABILITY; CONSENSUS; DESIGN;

D O I：

10.1109/TSMC.2023.3344508

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 article studies sampled-data stabilization for a class of fractional-order switched nonlinear systems (FOSNSs) with arbitrary switching. The feasibility of using a fuzzy-logic system (FLS) to approximate the fractional-order systems (FOSs) is proved. Using backstepping method, the fractional-order adaptive update laws and sampled-data controller for the discussed FOSNSs are designed based on the FLS. Under the proposed sampled-data control scheme, it is proved that solutions of the studied FOSNSs are semi-globally uniformly ultimately bounded (SGUUB). Two examples are given to verify the effectiveness of the proposed sampled-data control scheme.

引用

页码：2603 / 2612

页数：10

共 50 条

[1] Lyapunov functions for fractional order systems [J].

Aguila-Camacho, Norelys ;

Duarte-Mermoud, Manuel A. ;

Gallegos, Javier A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957

[2]

Apostol T., 1974, MATH ANAL, P160

[3]

Bandyopadhyay B, 2015, LECT NOTES ELECTR EN, V317, P1, DOI 10.1007/978-3-319-08621-7

[4] Switching control of thrust regulation and inlet buzz protection for ducted rocket [J].

Bao, Wen ;

Li, Bin ;

Chang, Juntao ;

Niu, Wenyu ;

Yu, Daren .

ACTA ASTRONAUTICA, 2010, 67 (7-8) :764-773

[5] The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils [J].

Batiha, Iqbal M. ;

El-Khazali, Reyad ;

AlSaedi, Ahmed ;

Momani, Shaher .

ENTROPY, 2018, 20 (06)

[6] Sampled-Data Stabilization of Fractional Linear System under Arbitrary Sampling Periods [J].

Cao, Kecai ;

Gu, Juping ;

Mao, Jingfeng ;

Liu, Chenglin .

FRACTAL AND FRACTIONAL, 2022, 6 (08)

[7] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

[8] Analysis of fractional differential equations [J].

Diethelm, K ;

Ford, NJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248

[9] Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type [J].

Diethelm, Kai .

ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS: AN APPLICATION-ORIENTED EXPOSITION USING DIFFERENTIAL OPERATORS OF CAPUTO TYPE, 2010, 2004 :3-+

[10] Sliding mode active disturbance rejection control for uncertain nonlinear fractional-order systems [J].

Djeghali, Nadia ;

Bettayeb, Maamar ;

Djennoune, Said .

EUROPEAN JOURNAL OF CONTROL, 2021, 57 :54-67

← 1 2 3 4 5 →