Robust Distributed Nash Equilibrium Seeking Subject to Communication Constraints
In this article, we address the robust distributed Nash equilibrium seeking problem of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>-player games under switching networks and communication delays. The salient feature of this work is that t...
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| Vydáno v: | IEEE transactions on automatic control Ročník 70; číslo 3; s. 1941 - 1948 |
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| Jazyk: | angličtina |
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IEEE
01.03.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9286, 1558-2523 |
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| Abstract | In this article, we address the robust distributed Nash equilibrium seeking problem of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>-player games under switching networks and communication delays. The salient feature of this work is that the switching communication networks can be uniformly strongly connected, and the communication delays are allowed to be arbitrarily unknown, time-varying and bounded. To solve the problem, we construct a distributed estimator for each player to estimate all players' strategies through unreliable communication networks. Based on the gradient play technique, we design a distributed Nash equilibrium seeking law. Then, we obtain the closed-loop system, which is an interconnected system of a nonlinear subsystem and a linear time-delay subsystem. By constructing the Lyapunov-Krasovskii functional, and designing the controller parameter in the sense of the small gain theorem, we achieve robust Nash equilibrium seeking asymptotically in spite of unreliable communication networks. Finally, we illustrate our proposed approach by its application to practical motion control of mobile robots with an experiment. |
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| AbstractList | In this article, we address the robust distributed Nash equilibrium seeking problem of [Formula Omitted]-player games under switching networks and communication delays. The salient feature of this work is that the switching communication networks can be uniformly strongly connected, and the communication delays are allowed to be arbitrarily unknown, time-varying and bounded. To solve the problem, we construct a distributed estimator for each player to estimate all players' strategies through unreliable communication networks. Based on the gradient play technique, we design a distributed Nash equilibrium seeking law. Then, we obtain the closed-loop system, which is an interconnected system of a nonlinear subsystem and a linear time-delay subsystem. By constructing the Lyapunov–Krasovskii functional, and designing the controller parameter in the sense of the small gain theorem, we achieve robust Nash equilibrium seeking asymptotically in spite of unreliable communication networks. Finally, we illustrate our proposed approach by its application to practical motion control of mobile robots with an experiment. In this article, we address the robust distributed Nash equilibrium seeking problem of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>-player games under switching networks and communication delays. The salient feature of this work is that the switching communication networks can be uniformly strongly connected, and the communication delays are allowed to be arbitrarily unknown, time-varying and bounded. To solve the problem, we construct a distributed estimator for each player to estimate all players' strategies through unreliable communication networks. Based on the gradient play technique, we design a distributed Nash equilibrium seeking law. Then, we obtain the closed-loop system, which is an interconnected system of a nonlinear subsystem and a linear time-delay subsystem. By constructing the Lyapunov-Krasovskii functional, and designing the controller parameter in the sense of the small gain theorem, we achieve robust Nash equilibrium seeking asymptotically in spite of unreliable communication networks. Finally, we illustrate our proposed approach by its application to practical motion control of mobile robots with an experiment. |
| Author | Liu, Lupeng Wang, Shimin Deng, Fang Chen, Jie Lu, Maobin |
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| SubjectTerms | Closed loops Communication Communication networks Communications networks Cost function Delays Distributed algorithms distributed Nash equilibrium (NE) seeking Equilibrium Feedback control Game theory Games Information exchange Motion control multi-agent systems Nash equilibrium Non-cooperative game Robot control Robot dynamics robust control Robustness Subsystems Switches unreliable communication networks Vectors |
| Title | Robust Distributed Nash Equilibrium Seeking Subject to Communication Constraints |
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