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Exponential convergence under distributed averaging integral frequency control

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arxiv 1608.03798 v3 pith:TSVBAQ7Y submitted 2016-08-12 math.OC cs.SYeess.SY

Exponential convergence under distributed averaging integral frequency control

classification math.OC cs.SYeess.SY
keywords convergenceaveragingcontrollersdisruptionsdistributedexponentialfrequencyintegral
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We investigate the performance and robustness of distributed averaging integral controllers used in the optimal frequency regulation of power networks. We construct a strict Lyapunov function that allows us to quantify the exponential convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions.

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