Imperial College London
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ProfessorEricKerrigan

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Control and Optimization
 
 
 
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Contact

 

+44 (0)20 7594 6343e.kerrigan Website

 
 
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Assistant

 

Mrs Raluca Reynolds +44 (0)20 7594 6281

 
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Location

 

1114Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Nie:2020:10.1109/LCSYS.2019.2921704,
author = {Nie, Y and Kerrigan, E},
doi = {10.1109/LCSYS.2019.2921704},
journal = {IEEE Control Systems Letters},
pages = {61--66},
title = {Efficient and more accurate representation of solution trajectories in numerical optimal control},
url = {http://dx.doi.org/10.1109/LCSYS.2019.2921704},
volume = {4},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We show via examples that, when solving optimal control problems, representing the optimal state and input trajectory directly using interpolation schemes may not be the best choice. Due to the lack of considerations for solution trajectories in-between collocation points, large errors may occur, posing risks if this solution is to be applied. A novel solution representation method is proposed, capable of yielding a solution of much higher accuracy for the same discretization mesh. This is achieved by minimizing the integral of the residual error for the overall trajectory, instead of forcing the errors to be zero only at collocation points. In this way, the requirement for mesh resolution can be significantly reduced, leaving the problem dimensions relatively small. This particular formulation also avoids some of the drawbacks found in the earlier work of integrated residual minimization, leading to more efficient computations.
AU  - Nie,Y
AU  - Kerrigan,E
DO  - 10.1109/LCSYS.2019.2921704
EP  - 66
PY  - 2020///
SN  - 2475-1456
SP  - 61
TI  - Efficient and more accurate representation of solution trajectories in numerical optimal control
T2  - IEEE Control Systems Letters
UR  - http://dx.doi.org/10.1109/LCSYS.2019.2921704
UR  - http://hdl.handle.net/10044/1/70928
VL  - 4
ER  -
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