Plant tuning: a robust Lyapunov approach

Franco Blanchini; Gianfranco Fenu; Giulia Giordano; Felice Andrea Pellegrino

doi:10.1109/CDC.2015.7402365

Plant tuning: a robust Lyapunov approach

Franco Blanchini, Gianfranco Fenu, Giulia Giordano, Felice Andrea Pellegrino

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Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	1142-1147
Number of pages	6
ISBN (Print)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402365
Publication status	Published - 2015 Dec
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 2015 Dec 15 → 2015 Dec 18 Conference number: 54

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Abbreviated title	CDC 2015
Country/Territory	Japan
City	Osaka
Period	2015/12/15 → 2015/12/18

Subject classification (UKÄ)

Control Engineering

Access to Document

10.1109/CDC.2015.7402365

Cite this

@inproceedings{3c2f0f8201b14ee2adb1adc7fbcb8f6f,

title = "Plant tuning: a robust Lyapunov approach",

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.",

author = "Franco Blanchini and Gianfranco Fenu and Giulia Giordano and Pellegrino, \{Felice Andrea\}",

year = "2015",

month = dec,

doi = "10.1109/CDC.2015.7402365",

language = "English",

isbn = "9781479978861",

pages = "1142--1147",

booktitle = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "54th IEEE Conference on Decision and Control, CDC 2015, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

}

Blanchini, F, Fenu, G, Giordano, G & Pellegrino, FA 2015, Plant tuning: a robust Lyapunov approach. in Proceedings of the IEEE Conference on Decision and Control., 7402365, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 1142-1147, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 2015/12/15. https://doi.org/10.1109/CDC.2015.7402365

TY - GEN

T1 - Plant tuning: a robust Lyapunov approach

AU - Blanchini, Franco

AU - Fenu, Gianfranco

AU - Giordano, Giulia

AU - Pellegrino, Felice Andrea

N1 - Conference code: 54

PY - 2015/12

Y1 - 2015/12

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84962032907

U2 - 10.1109/CDC.2015.7402365

DO - 10.1109/CDC.2015.7402365

M3 - Paper in conference proceeding

AN - SCOPUS:84962032907

SN - 9781479978861

SP - 1142

EP - 1147

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

Plant tuning: a robust Lyapunov approach

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