This work investigates the chaotic dynamics of a 4-dimensional autonomous chemical reaction system and explores the application of an optimal linear control strategy to mitigate chaotic oscillations. We highlight the importance of the parameter \(k_{10}\) , which directly affects the reaction rates and is crucial in the transition between chaotic and stable behaviors. When \(k_{10} =1.051\) , the system exhibits the largest positive Lyapunov exponent, and the sum of all Lyapunov exponents is less than zero, characterizing hyperchaotic behavior due to, among other factors, high sensitivity to initial conditions. Furthermore, we analyze the system’s performance under parameter uncertainties, demonstrating the robustness of the proposed control strategy. Even with both fixed and uncertain parameters, the linear feedback control law ensures global asymptotic stability, maintaining system stability and driving it toward the desired equilibrium point while minimizing the cost functional. This study underscores the effectiveness of the control method in stabilizing nonlinear chaotic systems, even in the presence of uncertainties in the system’s parameters.
