Feedback State Space Stabilization of Fractional-order Chaotic Lorenz-84 Atmosphere Model

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.