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International Conference on Remote Sensing of the Earth and Physics (RSE)

Optimal control of CO₂ absorption process based on Pontryagin maximum principle using quantum variational optimization

D. T. Muhamediyeva, L. U. Safarova, Khudainazar B. Yunusov, Fayziyeva Sitora Faxriddinovna, Mamatova Zamira Baratovna

Published Mar 31, 2026• 0 citations
Publisher

Abstract

This paper proposes an optimal control model for carbon dioxide (CO₂) absorption processes based on the Pontryagin maximum principle. The flow rate r(t) is selected as the control variable and determined through quantum optimization using the VQE (Variational Quantum Eigensolver) algorithm. The time-dependent dynamic system is fully characterized by state variables (CO₂ concentration x(t), product concentration p(t), and pollutant concentration s(t)) and their corresponding adjoint variables. The model aims to maximize a utility function that includes reducing CO₂ levels, increasing product output, and minimizing pollution. Results are presented with graphical analysis demonstrating the effectiveness of the VQE algorithm in quantum optimization approaches.

DOI
10.1117/12.3114485

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