Fast and accurate method for computing non-smooth solutions to constrained control problems
Conference paper
Nita, L., Vila, E. M. G., Zagorowska, M. A., Kerrigan, E. C., Nie, Y., McInerney, I. and Falugi, P. 2022. Fast and accurate method for computing non-smooth solutions to constrained control problems. European Control Conference (ECC) 2022. London, UK 12 - 15 Jul 2022 IEEE. https://doi.org/10.23919/ECC55457.2022.9838569
Authors | Nita, L., Vila, E. M. G., Zagorowska, M. A., Kerrigan, E. C., Nie, Y., McInerney, I. and Falugi, P. |
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Type | Conference paper |
Abstract | Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the solutions are discontinuous, as commonly found in control problems with constraints. State-of-the-art methods use fixed mesh schemes, which cannot achieve superlinear convergence in the presence of non-smooth solutions. In this paper, we propose using a flexible mesh in an integrated residual method. The locations of the mesh nodes are introduced as decision variables, and constraints are added to set upper and lower bounds on the size of the mesh intervals. We compare our approach to a uniform fixed mesh on a real-world satellite reorientation example. This example demonstrates that the flexible mesh enables the solver to automatically locate the discontinuities in the solution, has superlinear convergence and faster solve times |
Year | 2022 |
Conference | European Control Conference (ECC) 2022 |
Publisher | IEEE |
Accepted author manuscript | Fast_and_accurate_method_for_computing_non-smooth_solutions_to_constrained_control_problems_2022.pdf License File Access Level Anyone |
Publication dates | |
Online | 05 Aug 2022 |
Publication process dates | |
Deposited | 04 Jul 2023 |
Journal citation | pp. 1049-1054 |
Book title | 2022 European Control Conference (ECC) |
ISBN | 9783907144077 |
9781665497336 | |
Funder | Engineering and Physical Sciences Research Council (EPSRC) |
Digital Object Identifier (DOI) | https://doi.org/10.23919/ECC55457.2022.9838569 |
Web address (URL) of conference proceedings | https://ieeexplore.ieee.org/xpl/conhome/9837955/proceeding |
Copyright holder | © 2022, The Author(s) |
Copyright information | For the purpose of open access, the author(s) has applied a Creative Commons Attribution (CC BY) license to any Accepted Manuscript version arising |
https://repository.uel.ac.uk/item/8w3vv
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Accepted author manuscript
Fast_and_accurate_method_for_computing_non-smooth_solutions_to_constrained_control_problems_2022.pdf | ||
License: CC BY 4.0 | ||
File access level: Anyone |
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