Nonlinear Dynamics of Fractional-Order Chaotic Chemical Reactor System Based on the Adomian Decomposition Method and Its Control via Adaptive Sliding Mode Control

In this paper, a fractional-order 3D chemical chaotic reactor system (FOCRCS) is presented. By applying the Adomian decomposition method, the numerical solution of the FOCRCS is derived. In addition, the chaotic dynamics of FOCRCS are investigated. Using powerful nonlinear tools such as phase plots, bifurcation diagrams, and spectral entropy, the chaotic behavior in the 3D FOCRCS is established. We established that the FOCRCS can display many chemically observed reactor states, including stable, periodic, and chaotic behaviors. The main goal in this research is to control chaotic dynamics in the FOCRCS. In order to achieve this objective, an adaptive sliding mode control is introduced. In addition, chaos synchronization scheme is presented to control chaotic dynamics in the studied chemical reactor system.