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Decoupling Coupled Constraints Through Utility Design

Li, Na and Marden, Jason R. (2014) Decoupling Coupled Constraints Through Utility Design. IEEE Transactions on Automatic Control, 59 (8). pp. 2289-2294. ISSN 0018-9286. doi:10.1109/TAC.2014.2304373.

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Several multiagent systems exemplify the need for establishing distributed control laws that ensure the resulting agents' collective behavior satisfies a given coupled constraint. This technical note focuses on the design of such control laws through a game-theoretic framework. In particular, this technical note provides two systematic methodologies for the design of local agent objective functions that guarantee all resulting Nash equilibria optimize the system level objective while also satisfying a given coupled constraint. Furthermore, the designed local agent objective functions fit into the framework of state based potential games. Consequently, one can appeal to existing results in game-theoretic learning to derive a distributed process that guarantees the agents will reach such an equilibrium.

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Additional Information:© 2014 IEEE. Manuscript received June 10, 2011; revised December 26, 2011; accepted February 4, 2013. Date of publication February 3, 2014; date of current version July 21, 2014. This technical note appeared in part at the 49th IEEE Conference on Decision and Control, 2010. This work was supported by AFOSR grants #FA9550-09-1-0538 and #FA9550-12-1-0359, ONR grant #N00014-12-1-0643, NSF NetSE grant #CNS-0911041, ARPA-E grant #DE-AR0000226, Southern California Edison, the Caltech Resnick Institute, and the Okawa Foundation. Recommended by Associate Editor H. S. Chang.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-09-1-0538
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0359
Office of Naval Research (ONR)N00014-12-1-0643
NSF NetSECNS-0911041
Southern California EdisonUNSPECIFIED
Caltech Resnick InstituteUNSPECIFIED
Okawa FoundationUNSPECIFIED
Subject Keywords:Game theory, multiagent systems, networked control systems
Issue or Number:8
Record Number:CaltechAUTHORS:20141113-083218226
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Official Citation:Na Li; Marden, J.R., "Decoupling Coupled Constraints Through Utility Design," Automatic Control, IEEE Transactions on , vol.59, no.8, pp.2289,2294, Aug. 2014 doi: 10.1109/TAC.2014.2304373 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51697
Deposited By: Tony Diaz
Deposited On:13 Nov 2014 16:55
Last Modified:10 Nov 2021 19:14

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