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A Hybrid Distributed Strategy for Robust Global Phase Synchronization of Second-Order Kuramoto Oscillators

Abstract : This work proposes a distributed control strategy for the robust global leader-follower phase synchronization of Kuramoto oscillators with inertia. For a convenient design, the phase angles are represented as elements of the unit circle. In particular, we exploit a "half-angle" representation inspired by unit quaternions. The ensuing non-Euclidean state space poses some challenges for robust global stabilization, which can be conveniently overcome with dynamic hybrid feedback. For this reason, we propose a hybrid solution obtained by combining a distributed observer with local hysteresis-based tracking controllers. The overall closed-loop system is analyzed through reduction theorems and Lyapunov-based arguments.
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https://hal.archives-ouvertes.fr/hal-03370381
Contributor : Alessandro Bosso Connect in order to contact the contributor
Submitted on : Friday, October 8, 2021 - 12:56:31 AM
Last modification on : Tuesday, October 19, 2021 - 11:17:58 PM

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  • HAL Id : hal-03370381, version 1

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Alessandro Bosso, Ilario Antonio Azzollini, Simone Baldi, Luca Zaccarian. A Hybrid Distributed Strategy for Robust Global Phase Synchronization of Second-Order Kuramoto Oscillators. CDC 2021 - 60th IEEE Conference on Decision and Control, Dec 2021, Austin, Texas, United States. ⟨hal-03370381⟩

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