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Harsanyi Power Solutions in Coalitional Control Systems

Authors

MUROS, FRANCISCO JAVIER, Algaba, Encarnacion , Maria Maestre, Jose , Camacho, Eduardo F.

External publication

Si

Means

IEEE Trans. Autom. Control

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

5.007

SJR Impact

3.433

Publication date

01/07/2017

ISI

000404299300019

Scopus Id

2-s2.0-85028373089

Abstract

In coalitional control the connections among the different parts of a control network evolve dynamically to achieve a trade-off between communication burden and control performance, and the coalition choices are made by selecting the network topology with minimal payoff. This work analyzes how Harsanyi power solutions for games in coalitional control schemes, which generalize the Shapley value in this context, can be used to quantify the value of the communication links under different control topologies. To this end, a game among these links is considered, and the payoff that each link receives is determined by the Harsanyi power solutions, which take into account the communication costs and the predicted infinite-horizon costs for these topologies. The concept of link power measure as a centrality index to configure the communication costs is also introduced. As a result, a more computationally efficient design method with respect to previous works has been proposed.

Keywords

Coalitional control; cooperative game theory; Harsanyi power solutions; link power measures; Shapley value

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