Imperial College London
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DrAndrewWynn

Faculty of Engineering, Department of Aeronautics

Reader in Control and Optimization
 
 
 
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Contact

 

+44 (0)20 7594 5047a.wynn Website

 
 
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Location

 

340City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Artola:2021:10.1109/TAC.2021.3071326,
author = {Artola, M and Wynn, A and Palacios, R},
doi = {10.1109/TAC.2021.3071326},
journal = {IEEE Transactions on Automatic Control},
title = {Modal-based nonlinear model predictive control for 3D very flexible structures},
url = {http://dx.doi.org/10.1109/TAC.2021.3071326},
volume = {67},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this paper a novel NMPC scheme is derived, which is tailored to the underlying structure of the intrinsic description of geometrically exact nonlinear beams (in which velocities and strains are primary variables). This is an important class of PDE models whose behaviour is fundamental to the performance of flexible structural systems (e.g., wind turbines, High-Altitude Long-Endurance aircraft). Furthermore, this class contains the much-studied Euler-Bernoulli and Timoshenko beam models, but has significant additional complexity (to capture 3D effects and arbitrarily large displacements) and requires explicit computation of rotations in the PDE dynamics to account for orientation-dependent forces such as gravity. A challenge presented by this formulation is that uncontrollable modes necessarily appear in any finite dimensional approximation to the PDE dynamics. We show, however, that an NMPC scheme can be constructed in which the error introduced by the uncontrollable modes can be explicitly controlled. Furthermore, in challenging numerical examples exhibiting considerable deformation and nonlinear effects, it is demonstrated that the asymptotic error can be made insignificant  (from  a  practical  perspective)  usingour  NMPC  scheme  and  excellent  performance  is  obtained  evenwhen  applied  to  a  highly  resolved  numerical  simulation  of  thePDEs. We also present a generalisation of Kelvin-Voigt dampingto the intrinsic description of geometrically-exact beams. Finally,special emphasis is placed on constructing a framework suitablefor  real-time  NMPC  control,  where  the  particular  structure  ofthe  underlying  PDEs  is  exploited  to  obtain  both  efficient  finite-dimensional  models  and  numerical  schemes.
AU  - Artola,M
AU  - Wynn,A
AU  - Palacios,R
DO  - 10.1109/TAC.2021.3071326
PY  - 2021///
SN  - 0018-9286
TI  - Modal-based nonlinear model predictive control for 3D very flexible structures
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2021.3071326
UR  - https://ieeexplore.ieee.org/document/9397328
UR  - http://hdl.handle.net/10044/1/89180
VL  - 67
ER  -
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