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.

Azzollini, I.A., Baldi, S., Kosmatopoulos, E.B. (2018). Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units. Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2018.8550539].

Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units

Azzollini, Ilario A.;
2018

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.
2018
2018 European Control Conference, ECC 2018
2417
2422
Azzollini, I.A., Baldi, S., Kosmatopoulos, E.B. (2018). Adaptive synchronization in networks with heterogeneous uncertain Kuramoto-like units. Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2018.8550539].
Azzollini, Ilario A.; Baldi, Simone; Kosmatopoulos, Elias B.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/670096
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