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Dither re-use in Nash equilibrium seeking

journal contribution
posted on 2015-05-01, 00:00 authored by Ronny Kutadinata, W H Moase, C Manzie
Nash equilibrium seeking (NES) scheme consists of a number of decentralized extremum-seeking (ES) "agents", each controlling an input such that an associated (selfish) cost is regulated to its steady-state Nash equilibrium. A non-local stability result for the NES scheme is provided which allows two agents to use the same dither signal if the effect of each agent on the other's steady-state cost function is sufficiently weak. Its application to plants with quadratic cost functions is presented as an example. It is then demonstrated in simulation that, by reducing the number of distinct dither signals, the proposed scheme still has acceptable convergence properties, while design effort is reduced.

History

Journal

IEEE transactions on automatic control

Volume

60

Issue

5

Pagination

1433 - 1438

Publisher

Institute of Electrical and Electronics Engineers

Location

Piscataway, N.J.

ISSN

0018-9286

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2014, IEEE