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Fractional-Order Chaotic Lorenz-84 Atmosphere System Stabilization Using a Feedback State Space Control

Year: 2025

Type: article

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.

Source: International Journal of Applied Physics and Mathematics

DOI: 10.17706/ijapm.2025.15.1.69-77

Authors: Nasr-Eddine Mellah, Sakina Benrabah, Samir Ladaci

Institutions: Polytechnic School of Algiers, University Frères Mentouri Constantine 1

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411830707

FWCI: 0.443

Cites: 18

Cited by: 1

Related to: 10