Model-free tuning of plants with parasitic dynamics
(2017) 56th IEEE Annual Conference on Decision and Control, CDC 2017- Abstract
- We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: to drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently “slow”, a property that we can ensure by limiting the integral action. We provide robust bounds based on the... (More)
- We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: to drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently “slow”, a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/97d1b254-f63a-4ae9-932b-420b2535fa23
- author
- Blanchini, Franco ; Fenu, Gianfranco ; Giordano, Giulia LU and Pellegrino, Felice Andrea
- organization
- publishing date
- 2017-12
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the 56th IEEE Conference on Decision and Control
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 56th IEEE Annual Conference on Decision and Control, CDC 2017
- conference location
- Melbourne, Australia
- conference dates
- 2017-12-12 - 2017-12-15
- external identifiers
-
- scopus:85046156190
- DOI
- 10.1109/CDC.2017.8263713
- language
- English
- LU publication?
- yes
- id
- 97d1b254-f63a-4ae9-932b-420b2535fa23
- date added to LUP
- 2017-08-22 11:38:20
- date last changed
- 2024-03-17 19:20:01
@inproceedings{97d1b254-f63a-4ae9-932b-420b2535fa23,
abstract = {{We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: to drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently “slow”, a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators.}},
author = {{Blanchini, Franco and Fenu, Gianfranco and Giordano, Giulia and Pellegrino, Felice Andrea}},
booktitle = {{Proceedings of the 56th IEEE Conference on Decision and Control}},
language = {{eng}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Model-free tuning of plants with parasitic dynamics}},
url = {{http://dx.doi.org/10.1109/CDC.2017.8263713}},
doi = {{10.1109/CDC.2017.8263713}},
year = {{2017}},
}