Model-free tuning of plants with parasitic dynamics

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

doi:10.1109/CDC.2017.8263713

Model-free tuning of plants with parasitic dynamics

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

Team Tamas Keviczky

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

2 Citations (Scopus)

29 Downloads (Pure)

Abstract

We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: To drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently 'slow', a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators.

Original language	English
Title of host publication	Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control
Editors	A Astolfi
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	499-504
ISBN (Electronic)	978-150902873-3
DOIs	https://doi.org/10.1109/CDC.2017.8263713
Publication status	Published - 2017
Event	CDC 2017: 56th IEEE Annual Conference on Decision and Control - Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017 http://cdc2017.ieeecss.org/

Conference

Conference	CDC 2017: 56th IEEE Annual Conference on Decision and Control
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17
Other	The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, systems and control, and related areas.
Internet address	http://cdc2017.ieeecss.org/

Access to Document

10.1109/CDC.2017.8263713

BFGP_CDC2017Accepted author manuscript, 458 KB

Cite this

@inproceedings{ee07963c12e54edeafa96b10321fda3f,

title = "Model-free tuning of plants with parasitic dynamics",

abstract = "We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: To drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently 'slow', a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators.",

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

year = "2017",

doi = "10.1109/CDC.2017.8263713",

language = "English",

pages = "499--504",

editor = "A Astolfi",

booktitle = "Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control",

publisher = "IEEE",

address = "United States",

note = "CDC 2017: 56th IEEE Annual Conference on Decision and Control ; Conference date: 12-12-2017 Through 15-12-2017",

url = "http://cdc2017.ieeecss.org/",

}

Bianchini, F, Fenu, G, Giordano, G & Pellegrino, FA 2017, Model-free tuning of plants with parasitic dynamics. in A Astolfi (ed.), Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control. IEEE, Piscataway, NJ, USA, pp. 499-504, CDC 2017: 56th IEEE Annual Conference on Decision and Control, Melbourne, Australia, 12/12/17. https://doi.org/10.1109/CDC.2017.8263713

Model-free tuning of plants with parasitic dynamics. / Bianchini, Franco; Fenu, Gianfranco; Giordano, Giulia et al.
Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control. ed. / A Astolfi. Piscataway, NJ, USA: IEEE, 2017. p. 499-504.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Model-free tuning of plants with parasitic dynamics

AU - Bianchini, Franco

AU - Fenu, Gianfranco

AU - Giordano, Giulia

AU - Pellegrino, Felice Andrea

PY - 2017

Y1 - 2017

N2 - We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: To drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently 'slow', a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators.

AB - We have recently considered the problem of tuning a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope of matrices: To drive the output to a given desired value, we have suggested an integral feedback scheme, whose convergence is ensured if the polytope of matrices is robustly full row rank. The suggested tuning scheme may fail in the presence of parasitic dynamics, which may destabilize the loop if the tuning action is too aggressive. Here we show that such tuning action can be applied to dynamic plants as well if it is sufficiently 'slow', a property that we can ensure by limiting the integral action. We provide robust bounds based on the exclusive knowledge of the largest time constant and of the matrix polytope to which the system Jacobian is known to belong. We also provide similar bounds in the presence of parasitic dynamics affecting the actuators.

UR - http://www.scopus.com/inward/record.url?scp=85046156190&partnerID=8YFLogxK

U2 - 10.1109/CDC.2017.8263713

DO - 10.1109/CDC.2017.8263713

M3 - Conference contribution

AN - SCOPUS:85046156190

SP - 499

EP - 504

BT - Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control

A2 - Astolfi, A

PB - IEEE

CY - Piscataway, NJ, USA

T2 - CDC 2017: 56th IEEE Annual Conference on Decision and Control

Y2 - 12 December 2017 through 15 December 2017

ER -

Model-free tuning of plants with parasitic dynamics

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this