doi: 10.17706/ijapm.2025.15.1.69-77
Fractional-Order Chaotic Lorenz-84 Atmosphere System Stabilization Using a Feedback State Space Control
,
,
Samir Ladaci
3,*
- 1 Department of Electronics, DCCP Lab, Ecole Nationale Polytechnique, Oudek road, El Harrach 16200 Algiers, Algeria.
- 2 Department of Mathematics, University of Mentouri Brothers of Constantine 1, 25001, Constantine, Algeria.
- 3 Department of Automatic Control Eng., DCCP Lab, Ecole Nationale Polytechnique, Oudek road, El Harrach 16200 Algiers, Algeria.
- Manuscript received April 18, 2025
- accepted May 19, 2025
- published June 23, 2025
Abstract
This paper explores the stabilization of the three-dimensional Fractional-Order (FO) chaotic Lorenz-84 atmosphere model through control strategies. Employing the Grünwald-Letnikov approximation for fractional integration, the chaotic system is simulated to understand its intricate dynamics. The main focus lies in utilizing state-space feedback control to adapt input signals based on system states, aiming to steer chaotic dynamics towards stability. Additionally, control gains optimization is conducted through Particle Swarm Optimization (PSO) to guarantee robust stabilization of the chaotic atmosphere model.
Keywords
- Lorenz-84 Atmosphere model
- chaotic system
- fractional-order system
- fractional integrator
- Particle Swarm Optimization (PSO)
How to Cite
Nasr-Eddine Mellah, Sakina Benrabah, and Samir Ladaci, "Fractional-Order Chaotic Lorenz-84 Atmosphere System Stabilization Using a Feedback State Space Control," International Journal of Applied Physics and Mathematics, vol. 15, no. 1, pp. 69-77, 2025. https://doi.org/ 10.17706/ijapm.2025.15.1.69-77
Copyright & License
Copyright © 2025 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).