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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 In Proceedings of the IEEE Conference on Decision and Control 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
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Proceedings of the IEEE Conference on Decision and Control
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
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
2016-11-28 11:55:25
@misc{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},
  isbn         = {9781479978861},
  language     = {eng},
  pages        = {1142--1147},
  publisher    = {ARRAY(0xa2e65b0)},
  series       = {Proceedings of the IEEE Conference on Decision and Control},
  title        = {Plant tuning: a robust Lyapunov approach},
  url          = {http://dx.doi.org/10.1109/CDC.2015.7402365},
  year         = {2015},
}