State Feedback Controller Design for a Class of Generalized Proportional Fractional Order Nonlinear Systems

被引：3

作者：

Alsharif, Ali Omar M. ^{[1
,2
]}

Jmal, Assaad ^{[1
]}

Naifar, Omar ^{[1
]}

Ben Makhlouf, Abdellatif ^{[3
]}

Rhaima, Mohamed ^{[4
]}

Mchiri, Lassaad ^{[5
]}

机构：

[1] Sfax Univ, Engn Natl Sch, Elect Engn Dept, Control & Energy Management Lab, Sfax 3038, Tunisia

[2] Elmergib Univ, Fac Engn, Dept Elect & Comp Engn, 7206, Alkhums, Libya

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

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

[5] Univ Evry Val Essonne, ENSIIE, 1 Sq Resistance, F-91025 Courcouronnes, France

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 06期

关键词：

Generalized Proportional Fractional Differential Equations; Generalized Proportional Fractional Derivative; state feedback controller; Lipschitz; One-Sided Lipschitz;

D O I：

10.3390/sym15061168

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The state feedback controller design for a class of Generalized Proportional Fractional Order (GPFO) Nonlinear Systems is presented in this paper. The design is based on the combination of the One-Sided Lipschitz (OSL) system class with GPFO modeling. The main contribution of this study is that, to the best of the authors' knowledge, this work presents the first state feedback control design for GPFO systems. The suggested state feedback controller is intended to ensure the system's generalized Mittag Leffler (GML) stability and to deliver optimal performance. The findings of this paper show that the proposed strategy is effective in stabilizing Generalized Proportional Fractional Order Nonlinear Systems. A numerical example is presented to demonstrate the usefulness of the stated theoretical conclusions.

引用

页数：10

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