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Distributed Adaptive Nash Equilibrium Solution for Differential Graphical Games

delete2023-04-01
delete24
PRE
AI
Y
Yang‐Yang Qian *
M
Mushuang Liu
Y
Yan Wan
F
Frank L. Lewis
A
Ali Davoudi
DOI:10.1109/TCYB.2021.3114749delete
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摘要

摘要

En 中文
This article investigates differential graphical games for linear multiagent systems with a leader on fixed communication graphs. The objective is to make each agent synchronize to the leader and, meanwhile, optimize a performance index, which depends on the control policies of its own and its neighbors. To this end, a distributed adaptive Nash equilibrium solution is proposed for the differential graphical games. This solution, in contrast to the existing ones, is not only Nash but also fully distributed in the sense that each agent only uses local information of its own and its immediate neighbors without using any global information of the communication graph. Moreover, the asymptotic stability and global Nash equilibrium properties are analyzed for the proposed distributed adaptive Nash equilibrium solution. As an illustrative example, the differential graphical game solution is applied to the microgrid secondary control problem to achieve fully distributed voltage synchronization with optimized performance.
Keyword:
Nash equilibrium
Games
Synchronization
Performance analysis
Optimal control
Decentralized control
Microgrids
Adaptive control
differential games
distributed control
microgrid control
Nash equilibrium
synchronization

期刊

IEEE Transactions on Cybernetics 封面图
IEEE Transactions on Cybernetics
IF:
10.5
论文数:
1.1W
被引数:
5.0W

机构

U
university of texas system
学者数:
18.5W
论文数: 15.6W
被引数: 210
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