Overview of numerical methods for solving optimal control problem in guidance algorithms
Апстракт
Numerical techniques for solving optimal control problems fall into two general classes: indirect methods and direct methods. In an indirect method, we rely on the Pontryagin's maximum principle and other necessary conditions to obtain a two-point boundary-value problem, which is then numerically solved for optimal trajectories. However, indirect methods are frequently subject to severe convergence problems. We examine the possibility of implementing these methods in guidance algorithms using a single processor. Calculations were performed in real time and conclusions are drawn about the robustness of these methods.
Кључне речи:
optimal control theory / two-point boundary value problem / shooting techniqueИзвор:
Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022, 2022, 17-17Издавач:
- Univerzitet u Beogradu, Mašinski fakultet
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Miličić, Luka AU - Obradović, Aleksandar AU - Todić, Ivana PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4077 AB - Numerical techniques for solving optimal control problems fall into two general classes: indirect methods and direct methods. In an indirect method, we rely on the Pontryagin's maximum principle and other necessary conditions to obtain a two-point boundary-value problem, which is then numerically solved for optimal trajectories. However, indirect methods are frequently subject to severe convergence problems. We examine the possibility of implementing these methods in guidance algorithms using a single processor. Calculations were performed in real time and conclusions are drawn about the robustness of these methods. PB - Univerzitet u Beogradu, Mašinski fakultet C3 - Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022 T1 - Overview of numerical methods for solving optimal control problem in guidance algorithms EP - 17 SP - 17 UR - https://hdl.handle.net/21.15107/rcub_machinery_4077 ER -
@conference{ author = "Miličić, Luka and Obradović, Aleksandar and Todić, Ivana", year = "2022", abstract = "Numerical techniques for solving optimal control problems fall into two general classes: indirect methods and direct methods. In an indirect method, we rely on the Pontryagin's maximum principle and other necessary conditions to obtain a two-point boundary-value problem, which is then numerically solved for optimal trajectories. However, indirect methods are frequently subject to severe convergence problems. We examine the possibility of implementing these methods in guidance algorithms using a single processor. Calculations were performed in real time and conclusions are drawn about the robustness of these methods.", publisher = "Univerzitet u Beogradu, Mašinski fakultet", journal = "Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022", title = "Overview of numerical methods for solving optimal control problem in guidance algorithms", pages = "17-17", url = "https://hdl.handle.net/21.15107/rcub_machinery_4077" }
Miličić, L., Obradović, A.,& Todić, I.. (2022). Overview of numerical methods for solving optimal control problem in guidance algorithms. in Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022 Univerzitet u Beogradu, Mašinski fakultet., 17-17. https://hdl.handle.net/21.15107/rcub_machinery_4077
Miličić L, Obradović A, Todić I. Overview of numerical methods for solving optimal control problem in guidance algorithms. in Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022. 2022;:17-17. https://hdl.handle.net/21.15107/rcub_machinery_4077 .
Miličić, Luka, Obradović, Aleksandar, Todić, Ivana, "Overview of numerical methods for solving optimal control problem in guidance algorithms" in Abstract book : Mathematics, Numerics and Applications MNA 2022, Budva 1-3 June, 2022 (2022):17-17, https://hdl.handle.net/21.15107/rcub_machinery_4077 .