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Pré-Publication, Document De Travail Année : 2021

Adaptive Hybrid Control for Robust Global Phase Synchronization of Kuramoto Oscillators

Résumé

A distributed controller is designed for robust global phase synchronization of a network of uncertain second-order Kuramoto oscillators with a leader system, modeled as a nonlinear autonomous exosystem. The phase angles being elements of the unit circle, we propose an adaptive hybrid strategy based on a hysteresis mechanism to obtain global results despite the well-known topological obstructions. Only an upper bound on the unknown parameters of the oscillators is required to keep the adaptive estimates in a compact set. Since the reference signal is not available to each network node, we design a distributed observer of the leader exosystem. Leveraging the results of hybrid systems theory, including reduction theorems, Lyapunov techniques, and properties of ω-limit sets, we prove robust global asymptotic stability of the closed-loop dynamics, despite the presence of an adaptive control law.
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Dates et versions

hal-03372616 , version 1 (11-10-2021)

Identifiants

  • HAL Id : hal-03372616 , version 1

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Alessandro Bosso, Ilario Antonio Azzollini, Simone Baldi, Luca Zaccarian. Adaptive Hybrid Control for Robust Global Phase Synchronization of Kuramoto Oscillators. 2021. ⟨hal-03372616⟩
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