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Plant tuning: a robust Lyapunov approach

Blanchini, Franco ; Fenu, Gianfranco ; Giordano, Giulia LU and Pellegrino, Felice Andrea (2015) 54th IEEE Conference on Decision and Control, CDC 2015 p.1142-1147
Abstract

We consider the problem of tuning the output of a static plant whose model is unknown, under the only information that the input-output function is monotonic in each component or, more in general, that its Jacobian belongs to a known polytope of matrices. As a main result, we show 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 a desired point. The proof is based on the application of a well known theorem concerning the existence of a saddle point for a min-max zero-sum game. Some application examples are suggested.

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author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the IEEE Conference on Decision and Control
article number
7402365
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
conference location
Osaka, Japan
conference dates
2015-12-15 - 2015-12-18
external identifiers
  • scopus:84962032907
ISBN
9781479978861
DOI
10.1109/CDC.2015.7402365
language
English
LU publication?
no
id
3c2f0f82-01b1-4ee2-adb1-adc7fbcb8f6f
date added to LUP
2016-07-06 15:05:38
date last changed
2022-05-02 04:21:02
@inproceedings{3c2f0f82-01b1-4ee2-adb1-adc7fbcb8f6f,
  abstract     = {{<p>We consider the problem of tuning the output of a static plant whose model is unknown, under the only information that the input-output function is monotonic in each component or, more in general, that its Jacobian belongs to a known polytope of matrices. As a main result, we show 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 a desired point. The proof is based on the application of a well known theorem concerning the existence of a saddle point for a min-max zero-sum game. Some application examples are suggested.</p>}},
  author       = {{Blanchini, Franco and Fenu, Gianfranco and Giordano, Giulia and Pellegrino, Felice Andrea}},
  booktitle    = {{Proceedings of the IEEE Conference on Decision and Control}},
  isbn         = {{9781479978861}},
  language     = {{eng}},
  pages        = {{1142--1147}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Plant tuning: a robust Lyapunov approach}},
  url          = {{http://dx.doi.org/10.1109/CDC.2015.7402365}},
  doi          = {{10.1109/CDC.2015.7402365}},
  year         = {{2015}},
}