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DINAME2019
DINAME2019
Discrete Mechanics and Optimal Control Applied to Mechanical Systems
Submission Author:
Igor Afonso Acampora Prado , SP
Co-Authors:
Igor Afonso Acampora Prado , Davi Ferreira de Castro, Mauricio Andrés Varela Morales, Domingos Rade
Presenter: Igor Afonso Acampora Prado
doi://10.26678/ABCM.DINAME2019.DIN2019-0160
Abstract
The optimal control is extremely important in many research areas such as engineering, biology and economy. Normally, the interest is to guide some system in a way that some performance index is minimized. Some interesting engineering optimal control problems include: determine the minimum-time path of a vehicle or minimizing the control efforts during a satellite maneuver. This work is concerned on the indirect approach for solving optimal control problems. The indirect methodology solves the two-point boundary value problem which comes from the necessary conditions for optimality. Generally, some discretization technique is used for solving the problem numerically such as collocation, shooting and multiple shooting. We propose the application of the discrete variational principle for obtaining the discrete-time necessary conditions for optimality. Then, the discretization happens in the beginning of the solution process. We numerically illustrate the method by optimizing a low thrust satellite orbit transfer.
Keywords
discrete mechanics, indirect method, Optimal Control
