Distributed Nash equilibrium seeking of an aggregative game by a singular perturbed algorithm

  • Chuong Van Nguyen
  • , Phuong Huu Hoang
  • , Minh Hoang Trinh
  • , Byung Hun Lee
  • , Hyo Sung Ahn

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

This paper proposes a distributed singular perturbed algorithm for finding a Nash Equilibrium (NE) of an aggregative game, which is known as one class of a non-cooperative Nash game. A motivation model for this game is formulated in a distributed energy network consisting of players equipped with generators. We deal with the problem of operating each agent's generator at an optimal set value to minimize its objective function selfishly. The algorithm is designed in such a manner that each player estimates the sum of players' actions in an interconnected network based on information exchanged with its local neighbors in order to determine the optimal decision. The effectiveness of the proposed algorithm is demonstrated via a simulation.

Original languageEnglish
Title of host publication2017 Australian and New Zealand Control Conference, ANZCC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages145-150
Number of pages6
ISBN (Electronic)9781538621783
DOIs
StatePublished - Jul 2 2017
Event1st Australian and New Zealand Control Conference, ANZCC 2017 - Gold Coast, Australia
Duration: Dec 17 2017Dec 20 2017

Publication series

Name2017 Australian and New Zealand Control Conference, ANZCC 2017
Volume2018-January

Conference

Conference1st Australian and New Zealand Control Conference, ANZCC 2017
Country/TerritoryAustralia
CityGold Coast
Period12/17/1712/20/17

Funding

This work was supported by GIST Research Institute (GRI) and by the National Research Foundation (NRF) of Korea under the grant NRF-2017R1A2B3007034. VII. ACKNOWLEDGEMENT This work was supported by GIST Research Institute (GRI) and by the National Research Foundation (NRF) of Korea under the grant NRF-2017R1A2B3007034.

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