Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

Ilario A. Azzollini; Simone Baldi; Elias B. Kosmatopoulos

doi:10.23919/ECC.2018.8550539

Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

Ilario A. Azzollini, Simone Baldi, Elias B. Kosmatopoulos

Team Bart De Schutter

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

7 Citations (Scopus)

76 Downloads (Pure)

Abstract

We analyze adaptive synchronization capabilities in networks with Kuramoto-like units whose dynamical features are unknown and thus synchronization protocols must exhibit co-evolution capabilities. In the presence of heterogeneous and uncertain units, synchronization should be enabled by appropriate adaptive protocols that counteract the effect of heterogeneity. An interaction protocol is presented that is used by the units to communicate with each other: the protocol is based on a distributed disagreement measure. The aim of the protocol is to adapt feedback and coupling gains, so as to guarantee the emergence of a synchronous solution. The adaptive strategy is distributed, i.e. each unit self-determines the strength of its gains by using only neighboring measurements. Convergence of the synchronization error to zero is shown via Lyapunov analysis, and numerical examples demonstrate the effectiveness of the proposed protocol.

Original language	English
Title of host publication	Proceedings of 2018 European Control Conference (ECC2018)
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	2417-2422
ISBN (Electronic)	978-3-9524-2698-2
ISBN (Print)	978-3-9524-2699-9
DOIs	https://doi.org/10.23919/ECC.2018.8550539
Publication status	Published - 2018
Event	16th European Control Conference, ECC 2018 - Limassol, Cyprus Duration: 12 Jun 2018 → 15 Jun 2018 http://www.ecc18.eu/

Conference

Conference	16th European Control Conference, ECC 2018
Abbreviated title	ECC 2018
Country/Territory	Cyprus
City	Limassol
Period	12/06/18 → 15/06/18
Internet address	http://www.ecc18.eu/

Bibliographical note

Accepted Author Manuscript

Keywords

Adaptive synchronization
Kuramoto-like model
uncertain systems.

Access to Document

10.23919/ECC.2018.8550539

PaperAccepted author manuscript, 388 KB

Cite this

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title = "Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units",

abstract = "We analyze adaptive synchronization capabilities in networks with Kuramoto-like units whose dynamical features are unknown and thus synchronization protocols must exhibit co-evolution capabilities. In the presence of heterogeneous and uncertain units, synchronization should be enabled by appropriate adaptive protocols that counteract the effect of heterogeneity. An interaction protocol is presented that is used by the units to communicate with each other: the protocol is based on a distributed disagreement measure. The aim of the protocol is to adapt feedback and coupling gains, so as to guarantee the emergence of a synchronous solution. The adaptive strategy is distributed, i.e. each unit self-determines the strength of its gains by using only neighboring measurements. Convergence of the synchronization error to zero is shown via Lyapunov analysis, and numerical examples demonstrate the effectiveness of the proposed protocol.",

keywords = "Adaptive synchronization, Kuramoto-like model, uncertain systems.",

author = "Azzollini, {Ilario A.} and Simone Baldi and Kosmatopoulos, {Elias B.}",

note = "Accepted Author Manuscript; 16th European Control Conference, ECC 2018, ECC 2018 ; Conference date: 12-06-2018 Through 15-06-2018",

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doi = "10.23919/ECC.2018.8550539",

language = "English",

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Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units. / Azzollini, Ilario A.; Baldi, Simone; Kosmatopoulos, Elias B.
Proceedings of 2018 European Control Conference (ECC2018). Piscataway, NJ, USA: IEEE, 2018. p. 2417-2422 8550539.

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

TY - GEN

T1 - Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

AU - Azzollini, Ilario A.

AU - Baldi, Simone

AU - Kosmatopoulos, Elias B.

N1 - Accepted Author Manuscript

PY - 2018

Y1 - 2018

N2 - We analyze adaptive synchronization capabilities in networks with Kuramoto-like units whose dynamical features are unknown and thus synchronization protocols must exhibit co-evolution capabilities. In the presence of heterogeneous and uncertain units, synchronization should be enabled by appropriate adaptive protocols that counteract the effect of heterogeneity. An interaction protocol is presented that is used by the units to communicate with each other: the protocol is based on a distributed disagreement measure. The aim of the protocol is to adapt feedback and coupling gains, so as to guarantee the emergence of a synchronous solution. The adaptive strategy is distributed, i.e. each unit self-determines the strength of its gains by using only neighboring measurements. Convergence of the synchronization error to zero is shown via Lyapunov analysis, and numerical examples demonstrate the effectiveness of the proposed protocol.

AB - We analyze adaptive synchronization capabilities in networks with Kuramoto-like units whose dynamical features are unknown and thus synchronization protocols must exhibit co-evolution capabilities. In the presence of heterogeneous and uncertain units, synchronization should be enabled by appropriate adaptive protocols that counteract the effect of heterogeneity. An interaction protocol is presented that is used by the units to communicate with each other: the protocol is based on a distributed disagreement measure. The aim of the protocol is to adapt feedback and coupling gains, so as to guarantee the emergence of a synchronous solution. The adaptive strategy is distributed, i.e. each unit self-determines the strength of its gains by using only neighboring measurements. Convergence of the synchronization error to zero is shown via Lyapunov analysis, and numerical examples demonstrate the effectiveness of the proposed protocol.

KW - Adaptive synchronization

KW - Kuramoto-like model

KW - uncertain systems.

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U2 - 10.23919/ECC.2018.8550539

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M3 - Conference contribution

AN - SCOPUS:85059806372

SN - 978-3-9524-2699-9

SP - 2417

EP - 2422

BT - Proceedings of 2018 European Control Conference (ECC2018)

PB - IEEE

CY - Piscataway, NJ, USA

T2 - 16th European Control Conference, ECC 2018

Y2 - 12 June 2018 through 15 June 2018

ER -

Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

Abstract

Conference

Bibliographical note

Keywords

Access to Document

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Cite this