- Conference Paper
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
Book title2017 IEEE 56th Annual Conference on Decision and Control (CDC)
Pages / Article No.
Organisational unit09478 - Dörfler, Florian / Dörfler, Florian
160573 - Plug-and-Play Control & Optimization in Microgrids (SNF)
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