Exponential stabilization approach for a class of fractional-order fuzzy delayed systems
The paper deals with the exponential stability of nonlinear fractional order systems with time-varying delays represented using Takagi-Sugeno fuzzy models. Initially, a frequency transformation converts the fractional-order expression into an integer model. Then, exponential stability and stabilization criteria are expressed as linear matrix inequalities (LMIs) using the Lyapunov-Krasovskii technique. Numerical simulations are carried out to show the effectiveness of the proposed stabilization approach.
Authors
- Aissa Rebai (ORCID: https://orcid.org/0000-0001-5935-731X)
- Kamel Guesmi (ORCID: https://orcid.org/0000-0002-3492-8339)
Institutions
- Algerian Petroleum Institute (DZ)
- Polytechnic School of Algiers (DZ)
- Ziane Achour University of Djelfa (DZ)
- Centre de Recherche en Sciences et Technologies de l'Information et de la Communication (FR)
- Université de Reims Champagne-Ardenne (FR)
Publication Details
- Journal
- Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1177/09596518241291181
- Primary Topic
- Advanced Control Systems Design
- Type
- article
- Field-Weighted Citation Impact
- 0.00