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Dynamic optimization based on Fourier. Application to the biodiesel process

Abstract:

This work presents a novel methodology for the dynamic optimization of the biodiesel production process from vegetable oils in discontinuous mode. The proposed methodology has the particularity of using the Fourier series for the parameterization of the control action, and evolutionary algorithms for the optimization of parameters. The main advantages of this strategy are, on the one hand, that the profiles obtained are smooth, that is, continuous and differentiable, therefore they can be directly implemented in real systems, without the need to filter or soften the control signal; on the other hand, a minimum amount of parameters is required for optimization, avoiding over-parameterization, which can decrease the quality of the response. The proposed algorithms have been evaluated through simulations, obtaining very satisfactory results compared to those published in the literature.