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Date
2017Type
- Conference Paper
Abstract
We synthesize a feedback for a fully connected network of identical Liénard-type oscillators such that the phase-balanced equilibrium - the mode where the centroid of the coupled oscillators in polar coordinates is at the origin - is asymptotically stable, and the phase-synchronized equilibrium is unstable. Our approach hinges on a coordinate transformation of the oscillator dynamics to polar coordinates, and periodic averaging theory to simplify the examination of multiple time-scale behavior. Using Lyapunov- and linearization-based arguments, we demonstrate that the oscillator dynamics have the same radii and balanced phases in steady state for a large set of initial conditions. Numerical simulation results are presented to validate the analyses. Show more
Publication status
publishedExternal links
Book title
2017 IEEE 56th Annual Conference on Decision and Control (CDC)Pages / Article No.
Publisher
IEEEEvent
Organisational unit
09478 - Dörfler, Florian / Dörfler, Florian
Funding
160573 - Plug-and-Play Control & Optimization in Microgrids (SNF)
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