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
AuthorsNita, L., Vila, E. M. G., Zagorowska, M. A., Kerrigan, E. C., Nie, Y., McInerney, I. and Falugi, P.
TypeConference 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

Year2022
ConferenceEuropean Control Conference (ECC) 2022
PublisherIEEE
Accepted author manuscript
License
File Access Level
Anyone
Publication dates
Online05 Aug 2022
Publication process dates
Deposited04 Jul 2023
Journal citationpp. 1049-1054
Book title2022 European Control Conference (ECC)
ISBN9783907144077
9781665497336
FunderEngineering and Physical Sciences Research Council (EPSRC)
Digital Object Identifier (DOI)https://doi.org/10.23919/ECC55457.2022.9838569
Web address (URL) of conference proceedingshttps://ieeexplore.ieee.org/xpl/conhome/9837955/proceeding
Copyright holder© 2022, The Author(s)
Copyright informationFor the purpose of open access, the author(s) has applied a Creative Commons Attribution (CC BY) license to any Accepted Manuscript version arising
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