Decentralized Control for Guaranteed Individual Costs in a Linear Multi-Agent System: A Satisfaction Equilibrium Approach

This letter focuses on the design of decentralized feedback control gains that aims at optimizing individual costs in a multi-agent synchronization problem. As reported in the literature, the optimal control design for synchronization of agents using local information is NP-hard. Consequently, we re...

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Bibliographic Details
Published inIEEE control systems letters Vol. 3; no. 4; pp. 918 - 923
Main Authors Veetaseveera, J., Varma, V. S., Morarescu, I. C., Daafouz, J.
Format Journal Article
LanguageEnglish
Published IEEE 01.10.2019
Subjects
Automatic Control Engineering
Computer Science
Control of networks
Decentralized control
Games
Indexes
Multi-agent systems
Nickel
Optimal control
Synchronization
Synchronization
Decentralized control
Optimal control
Games
Multi-agent systems
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Summary:This letter focuses on the design of decentralized feedback control gains that aims at optimizing individual costs in a multi-agent synchronization problem. As reported in the literature, the optimal control design for synchronization of agents using local information is NP-hard. Consequently, we relax the problem and use the notion of satisfaction equilibrium from game theory to ensure that each individual cost is guaranteed to be lower than a given threshold. Our main results provide conditions in the form of linear matrix inequalities (LMIs) to check if a given set of control gains are in satisfaction equilibrium, i.e., all individual costs are upper-bounded by the imposed threshold. Moreover, we provide an algorithm in order to synthesize gains that are in satisfaction equilibrium. Finally, we illustrate this algorithm with numerical examples.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2019.2919425