Eur. Phys. J. Spec. Top. (2022) 231: 453-463
https://doi.org/10.1140/epjs/s11734-021-00404-6

Regular Article

An investigation on microscopic chaos controlling of identical chemical reactor system via adaptive controlled hybrid projective synchronization

¹ Department of Mathematics, Jamia Millia Islamia, 110025, New Delhi, India
² Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah, Saudi Arabia

^c msajd@qu.edu.sa

Received: 12 July 2021
Accepted: 16 December 2021
Published online: 29 December 2021

Abstract

In this manuscript, a methodology is designed to investigate the microscopic chaos adaptive controlling in the dynamics of the chaotic chemical reactor system (CR-system) using hybrid projective synchronization (HPS) technique. Initially, an adaptive control design (ACD) has been presented and analyzed in a systematic manner for controlling the microscopic chaos phenomenon found in the CR-system which is essentially in accordance with Lyapunov stability analysis (LSA). The necessary asymptotic stability criterion for the state vectors of the discussed CR-system with uncertain parameters is determined by designing suitable control functions and simplified parameter updating law. Additionally, numerical simulation results using MATLAB software have been performed to illustrate the effective presentation of the proposed strategy. Simulation outcomes complement that the primary objective of controlling chaos in CR-system is attained both analytically and computationally. Furthermore, a comparative study with earlier published literature has been done.