Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

Conference paper (2018)

Authors

S. Baldi Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Elias Kosmatopoulos Democritus University of Thrace, Centre for Research and Technology-Hellas
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2018 Ilario A. Azzollini, S. Baldi, Elias B. Kosmatopoulos
DOI: https://doi.org/10.23919/ECC.2018.8550539
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Published Date

2018

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Bart De Schutter

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.

Files

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