Model-Free Plant Tuning
(2017) In IEEE Transactions on Automatic Control 62(6). p.2623-2634- Abstract
- Given a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly non-singular (or has full rank, in the non-square case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunov-like function and applies a well known game-theoretic result, concerning the existence of a saddle point for a minmax zero-sum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained,... (More)
- Given a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly non-singular (or has full rank, in the non-square case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunov-like function and applies a well known game-theoretic result, concerning the existence of a saddle point for a minmax zero-sum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained, resorting to a different Lyapunov-like function. The case in which proper input or output constraints must be enforced during the transient is considered as well. Some application examples are proposed to show the effectiveness of the approach. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d60eb6a7-2fdf-49e3-a1a3-e2f53c285795
- author
- Blanchini, F. ; Fenu, G. ; Giordano, Giulia LU and Pellegrino, F. A.
- organization
- publishing date
- 2017
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Games, Generators, Jacobian matrices, Robustness, Steady-state, Transient analysis, Tuning
- in
- IEEE Transactions on Automatic Control
- volume
- 62
- issue
- 6
- pages
- 12 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85026770510
- wos:000402733600002
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2016.2616025
- language
- English
- LU publication?
- yes
- id
- d60eb6a7-2fdf-49e3-a1a3-e2f53c285795
- date added to LUP
- 2016-11-26 14:55:30
- date last changed
- 2022-04-16 21:16:16
@article{d60eb6a7-2fdf-49e3-a1a3-e2f53c285795,
abstract = {{Given a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, this paper considers the problem of tuning (i.e., driving to a desired value) the output, by suitably choosing the input. It is shown that, if the polytope is robustly non-singular (or has full rank, in the non-square case), then a suitable tuning scheme drives the output to the desired point. The proof exploits a Lyapunov-like function and applies a well known game-theoretic result, concerning the existence of a saddle point for a minmax zero-sum game. When the plant output is represented in an implicit form, it is shown that the same result can be obtained, resorting to a different Lyapunov-like function. The case in which proper input or output constraints must be enforced during the transient is considered as well. Some application examples are proposed to show the effectiveness of the approach.}},
author = {{Blanchini, F. and Fenu, G. and Giordano, Giulia and Pellegrino, F. A.}},
issn = {{0018-9286}},
keywords = {{Games; Generators; Jacobian matrices; Robustness; Steady-state; Transient analysis; Tuning}},
language = {{eng}},
number = {{6}},
pages = {{2623--2634}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Automatic Control}},
title = {{Model-Free Plant Tuning}},
url = {{http://dx.doi.org/10.1109/TAC.2016.2616025}},
doi = {{10.1109/TAC.2016.2616025}},
volume = {{62}},
year = {{2017}},
}