Design of Polynomial Observer-Based Control of Fractional-Order Power Systems

被引：2

作者：

Gassara, Hamdi ^{[1
]}

Ammar, Imen Iben ^{[2
]}

Ben Makhlouf, Abdellatif ^{[3
]}

Mchiri, Lassaad ^{[4
]}

Rhaima, Mohamed ^{[5
]}

机构：

[1] Univ Sfax, Natl Sch Engn Sfax, Lab Sci & Tech Automat Control & Comp Engn, POB 1173, Sfax 3029, Tunisia

[2] Univ Le Havre Normandy, GREAH Lab, 75 Rue Bellot, F-76600 Le Havre, France

[3] Univ Sfax, Fac Sci, Dept Math, POB 1171, Sfax 3038, Tunisia

[4] Univ Evry Val dEssonne, ENSIIE, 1 Sq Resistance, F-91025 Evry Courcouronnes, France

[5] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 21期

关键词：

power system; fractional derivative; Lyapunov function; FUZZY-SYSTEMS; STABILIZATION; STABILITY; STATE;

D O I：

10.3390/math11214450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research addresses the problem of globally stabilizing a distinct category of fractional-order power systems (F-OP) by employing an observer-based methodology. To address the inherent nonlinearity in these systems, we leverage a Takagi-Sugeno (TS) fuzzy model. The practical stability of the proposed system is systematically established through the application of a sum-of-squares (SOS) approach. To demonstrate the robustness and effectiveness of our approach, we conduct simulations of the power system using SOSTOOLS v3.00. Our study contributes to advancing the understanding of F-OP and provides a practical framework for their global stabilization.

引用

页数：11

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