Imperial College London
Alternate

DrPaolaFalugi

Faculty of Engineering, Department of Electrical and Electronic Engineering

Visiting Researcher
 
 
 
//

Contact

 

p.falugi

 
 
//

Location

 

1107Electrical EngineeringSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@inproceedings{Nita:2022:10.23919/ECC55457.2022.9838569,
author = {Nita, L and Vila, EMG and Zagorowska, M and Kerrigan, E and Nie, Y and McInerney, I and Falugi, P},
doi = {10.23919/ECC55457.2022.9838569},
pages = {1049--1054},
publisher = {IEEE},
title = {Fast and accurate method for computing non-smooth solutions to constrained control problems},
url = {http://dx.doi.org/10.23919/ECC55457.2022.9838569},
year = {2022}
}
Download

RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - 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, while achieving the same accuracy as a fixed mesh.
AU  - Nita,L
AU  - Vila,EMG
AU  - Zagorowska,M
AU  - Kerrigan,E
AU  - Nie,Y
AU  - McInerney,I
AU  - Falugi,P
DO  - 10.23919/ECC55457.2022.9838569
EP  - 1054
PB  - IEEE
PY  - 2022///
SP  - 1049
TI  - Fast and accurate method for computing non-smooth solutions to constrained control problems
UR  - http://dx.doi.org/10.23919/ECC55457.2022.9838569
UR  - http://hdl.handle.net/10044/1/96512
ER  -
Download