Publication

An application of the Shapley value to perform system partitioning

Conference Article

Conference

American Control Conference (ACC)

Edition

2015

Pages

2143-2148

Doc link

http://dx.doi.org/10.1109/ACC.2015.7171050

File

Download the digital copy of the doc pdf document

Authors

  • Muros Ponce, Francisco

  • Maestre Torreblanca, José María

  • Algaba Durán, Encarnación

  • Ocampo Martínez, Carlos A.

  • Fernández Camacho, Eduardo

Abstract

We introduce a new method to perform the partitioning of non-centralized dynamical linear systems based on the relevance of the possible interconnections among the smallest components of the system. In particular, we analyze the importance of the interconnections using game theoretical tools, so that they can be arranged as a function of their expected contribution to the overall system performance. In addition, this method allows to identify unnecessary interconnections and highlights the most appropriate communication links facing the application of distributed control schemes. The effectiveness of the proposed method is shown at the end of this work by means of a numerical example.

Categories

control theory, linear programming, mathematical programming.

Author keywords

system partitioning, Shapley value, cooperative games

Scientific reference

F. Muros, J.M. Maestre, E. Algaba, C. Ocampo-Martínez and E. Fernández. An application of the Shapley value to perform system partitioning, 2015 American Control Conference, 2015, Chicago, Illinois, pp. 2143-2148.