Resolução de Problemas de Controle Ótimo usando a Abordagem Indireta

Authors

  • Fran Sérgio Lobato Universidade Federal de Uberlândia
  • Gustavo Libotte Universidade do Estado do Rio de Janeiro

Keywords:

Problema de Controle Ótimo, Abordagem Indireta, Equações Algébrico-Diferenciais de Valor no Contorno

Abstract

The Optimal Control Problem (OCP) consists of determining the control variable profile for the purpose of optimizing an objective function. From a mathematical perspective, the OCP can be essentially solved using two approaches, namely, the Direct and the Indirect methods. In the Direct approach, the OCP is transformed into a nonlinear programming problem by approximating the control variable and state variables. On the other hand, in the Indirect approach, the original optimization problem is converted into an algebraic-differential boundary value problem, obtained by applying the optimality condition. In this context, the present contribution aims to solve OCPs resulting from the application of the optimality condition using the Normalized Collocation Method. For this purpose, case studies with different levels of complexity are considered. The obtained results demonstrate the quality of the proposed methodology in comparison to other numerical strategies.

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References

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Published

2024-01-31

How to Cite

Lobato, F. S., & Libotte, G. (2024). Resolução de Problemas de Controle Ótimo usando a Abordagem Indireta. Revista Interdisciplinar De Pesquisa Em Engenharia, 9(2), 38–45. Retrieved from https://periodicos.unb.br/index.php/ripe/article/view/52314

Issue

Vol. 9 No. 2 (2023): Revista Interdisciplinar de Pesquisa em Engenharia

Section

Artigos

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