Tí­tulo: Solution of Fractional Optimal Control Problems by using orthogonal collocation and Multi-objective Optimization Stochastic Fractal Search
Autores: LIMA, J. V. C. F.; LOBATO, F. S.; STEFFEN JR, V.
Revista: Advances in Computational Intelligence, 1(3), 1-15, 2021.
Resumo: In this contribution the solution of Fractional Optimal Control Problems (FOCP) by using the Orthogonal Collocation Method (OCM) and the Multi-objective Optimization Stochastic Fractal Search (MOSFS) algorithm is investigated. For this purpose, three classical case studies on engineering are considered. Initially, the concentration profiles of laccase enzyme production process are analyzed to evaluate the influence of fractional order. Then, two classical FOCP (Catalyst Mixing and Batch Reactor) are solved by using the association between OCM and MOSFS approaches through the formulation and solution of a multi-objective optimization problem. The results indicate that the variation of the fractional order implies different values for the original objective function. In addition, physically incoherent profiles can be obtained by considering the fluctuation of the fractional order. Finally, the proposed MOSFS is considered as apromising methodology to solve multi-objective optimization problems.

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