A passivity-based perspective for distributed optimization and integration of communication delays

In this paper, we present a perspective that a solution process for a class of distributed optimization is passive. After formulating the intended distributed optimization problem, we design a distributed optimization dynamics based on so-called PI consensus algorithm. The dynamical system is then s...

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Bibliographic Details
Published in:2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE) pp. 877 - 879
Main Authors: Hatanaka, Takeshi, Chopra, Nikhil, Na Li
Format: Conference Proceeding
Language:English
Japanese
Published: The Society of Instrument and Control Engineers - SICE 01.09.2017
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Summary:In this paper, we present a perspective that a solution process for a class of distributed optimization is passive. After formulating the intended distributed optimization problem, we design a distributed optimization dynamics based on so-called PI consensus algorithm. The dynamical system is then shown to be regarded as a feedback interconnection of passive systems and hence to preserve passivity. As a benefit of the passivity-based perspective, we then integrate interagent communication delays using passivity-based output synchronization techniques together with so-called scattering transformation.
DOI:10.23919/SICE.2017.8105439