Distributed Nash Equilibrium Seeking Under Input Dead Zone

• 成果类型: Article
• 署名作者: Shao, Guangru; Wang, Rui; Ye, Maojiao; Wang, Xue-Fang
• 署名单位: Yantai University; Dalian University of Technology; Dalian University of Technology; Nanjing University of Science & Technology; Dalian University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3133182
• 发表日期: 2022
• 页码: 6818-6825
• 关键词: Distributed Nash equilibrium (NE) seeking; fast compensating mechanism; input dead zone; singular perturbation

摘要

This article investigates the Nash equilibrium (NE) seeking problem for games in the presence of input dead-zone nonlinearity. The purpose of each player is to minimize its own cost function, which depends not only on its own decision variable, but also on decision variables of the other players. To obtain an NE, a novel two-time-scale distributed algorithm is designed. This new strategy consists of two parts: one is the fast compensating dynamics, which can rapidly compensate the effect of input dead zone; the other is the optimization dynamics that can distributively drive the players' decision variables to achieve the NE. Since the proposed algorithm has a two-time-scale structure, singular perturbation techniques are used to prove that the players' actions semiglobally practically asymptotically converge to the NE. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed strategy.