Robust Stability Analysis of Unstable Second Order Plus Time-Delay (SOPTD) Plant by Fractional-Order Proportional Integral (FOPI) Controllers

被引：5

作者：

Asadi, Marzieh ^{[1
]}

Farnam, Arash ^{[2
,3
]}

Nazifi, Hamed ^{[4
]}

Roozbehani, Sam ^{[4
]}

Crevecoeur, Guillaume ^{[2
,3
]}

机构：

[1] KN Toosi Univ Technol, Fac Electer Engn, Tehran 19697, Iran

[2] Univ Ghent, Dept Elect Energy Met Mech Construct & Syst, B-9000 Ghent, Belgium

[3] Core Lab EEDT Decis & Control, Flanders Make, B-3920 Lommel, Belgium

[4] Khaje Nasir Univ Technol Branch, Renewable Power Generat Res Grp, ACECR, Tehran 19697, Iran

来源：

MATHEMATICS | 2022年 / 10卷 / 04期

关键词：

robust stability analysis; FOPI controllers; unstable SOPTD plants; time-delay; SYSTEMS;

D O I：

10.3390/math10040567

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study investigates the robust stability analysis of an unstable second order plus time-delay (SOPTD) plant by using Fractional-Order Proportional Integral (FOPI) controllers. We assume that there are simultaneous uncertainties in gain, time-constants, and time-delay of the plant. At first, a graphical method is provided for a robust stability analysis of the closed-loop system. Then, a robust stability checking function is introduced to facilitate the robust stability analysis. Additionally, new bounds are presented to reduce the computational burden for the robust stability analysis. Finally, two examples are provided to show the correctness of the proposed method.

引用

页数：10

共 33 条

[1]

Baleanu D, 2011, FRACTIONAL DYNAMICS

[2] Coprime factorizations and stability of fractional differential systems [J].

Bonnet, C ;

Partington, JR .

SYSTEMS & CONTROL LETTERS, 2000, 41 (03) :167-174

[3]

Boudana M., 2019, INT J CYBER PHYS SYS, V1, P1, DOI DOI 10.4018/IJCPS.2019070101

[4]

Bouyedda H, 2019, International Journal of Dynamics and Control, V7, P914

[5]

Buslowicz M., 2008, B POLISH ACAD SCI TE, V56, P158

[6] Smith predictor based robust fractional order control: Application to water distribution in a main irrigation canal pool [J].

Feliu-Batlle, V. ;

Rivas Perez, R. ;

Castillo Garcia, F. J. ;

Sanchez Rodriguez, L. .

JOURNAL OF PROCESS CONTROL, 2009, 19 (03) :506-519

[7] Robust stabilizing regions of fractional-order PDμ controllers of time-delay fractional-order systems [J].

Gao, Zhe ;

Yan, Ming ;

Wei, Junxiu .

JOURNAL OF PROCESS CONTROL, 2014, 24 (01) :37-47

[8] Robust Stability Analysis of Interval Fractional-Order Plants With Interval Time Delay and General Form of Fractional-Order Controllers [J].

Ghorbani, Majid ;

Tavakoli-Kakhki, Mahsan ;

Tepljakov, Aleksei ;

Petlenkov, Eduard ;

Farnam, Arash ;

Crevecoeur, Guillaume .

IEEE CONTROL SYSTEMS LETTERS, 2022, 6 :1268-1273

[9] Robust stability analysis of a general class of interval delayed fractional order plants by a general form of fractional order controllers [J].

Ghorbani, Majid ;

Tavakoli-Kakhki, Mahsan .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (13) :10172-10189

[10] Robust stability analysis of uncertain incommensurate fractional order quasi-polynomials in the presence of interval fractional orders and interval coefficients [J].

Ghorbani, Majid ;

Tavakoli-Kakhki, Mahsan .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2021, 43 (05) :1117-1125

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