Some directs numerical methods for solving the nonlinear optimal control problem practical in aeronautic
Keywords:
Optimal Control, Euler discretization, Rung kutta method, active-set method, aerodynamic
Abstract
In this study, we have implemented direct numerical methods to convert the continuous optimal control problem into a nonlinear optimization problem. We used three discretization techniques: the Euler method, the second-order Runge-Kutta method, and the fourth-order Runge-Kutta method. Subsequently, the resulting non-linear optimization problem was solved using MATLAB's fmincon function. To evaluate the efficiency and accuracy of the proposed approach, we modeled a nonlinear optimal control problem relevant to aeronautics. Our objective was to minimize the travel time of a rocket from an initial point to a final point at a specified altitude, considering aerodynamic forces and gravity, with the control variable being the rocket's heel angle. To compare the different methods, we developed a MATLAB implementation and showcased various simulation results.
Published
2024-09-07
How to Cite
Mohamed, A., & Moussouni, N. (2024). Some directs numerical methods for solving the nonlinear optimal control problem practical in aeronautic. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-1440
Issue
Section
Research Articles
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
