Plant tuning: a robust Lyapunov approach
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3c2f0f82-01b1-4ee2-adb1-adc7fbcb8f6f
- author
- Blanchini, Franco ; Fenu, Gianfranco ; Giordano, Giulia LU and Pellegrino, Felice Andrea
- organization
- publishing date
- 2015-12
- 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}}, }