State Feedback Controller Design for a Class of Generalized Proportional Fractional Order Nonlinear Systems-Reference-Cited by-同舟云学术

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

Published:2023-05-29 Issue:6 Volume:15 Page:1168
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Alsharif Ali Omar M.¹²,Jmal Assaad¹,Naifar Omar¹,Ben Makhlouf Abdellatif³^ORCID,Rhaima Mohamed⁴^ORCID,Mchiri Lassaad⁵

Affiliation:

1. Control and Energy Management Laboratory (CEM Lab), Electrical Engineering Department, Engineering National School, Sfax University, Sfax 3038, Tunisia

2. Department of Electrical & Computer Engineering, Faculty of Engineering, Elmergib University, Alkhums 7206, Libya

3. Department of Mathematics, Faculty of Sciences, Sfax University, Sfax 1171, Tunisia

4. Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

5. ENSIIE, University of Evry-Val-d’Essonne, 1 Square de la Résistance, CEDEX, 91025 Évry-Courcouronnes, France

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/6/1168/pdf

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