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.

A Hybrid Distributed Strategy for Robust Global Phase Synchronization of Second-Order Kuramoto Oscillators / Bosso, A.; Azzollini, I. A.; Baldi, S.; Zaccarian, L.. - 2021-:(2021), pp. 1212-1217. (Intervento presentato al convegno 60th IEEE Conference on Decision and Control, CDC 2021 tenutosi a usa nel 2021) [10.1109/CDC45484.2021.9682996].

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

Baldi S.;Zaccarian L.
2021-01-01

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.
2021
Proceedings of the IEEE Conference on Decision and Control
USA
Institute of Electrical and Electronics Engineers Inc.
978-1-6654-3659-5
Bosso, A.; Azzollini, I. A.; Baldi, S.; Zaccarian, L.
A Hybrid Distributed Strategy for Robust Global Phase Synchronization of Second-Order Kuramoto Oscillators / Bosso, A.; Azzollini, I. A.; Baldi, S.; Zaccarian, L.. - 2021-:(2021), pp. 1212-1217. (Intervento presentato al convegno 60th IEEE Conference on Decision and Control, CDC 2021 tenutosi a usa nel 2021) [10.1109/CDC45484.2021.9682996].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/336242
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