On Resilience Against Cyber-Physical Uncertainties in Distributed Nash Equilibrium Seeking Strategies for Heterogeneous Games

作     者：Maojiao Ye 

作者机构：IEEE the School of Automation Nanjing University of Science and Technology 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报(英文版))

年 卷 期：2025年第12卷第1期

页      面：138-147页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 0835[工学-软件工程] 0802[工学-机械工程] 0701[理学-数学] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Key R&D Program of China (2022ZD0119604) the National Natural Science Foundation of China(NSFC)(62173181, 62222308, 62221004) the Natural Science Foundation of Jiangsu Province (BK20220139) 

主　　题：Adaptive law cyber-physical systems distributed Nash equilibrium seeking uncertainties 

摘      要：This paper designs distributed Nash equilibrium seeking strategies for heterogeneous dynamic cyber-physical *** particular, we are concerned with parametric uncertainties in the control channel of the players. Moreover, the weights on communication links can be compromised by time-varying uncertainties, which can result from possibly malicious attacks,faults and disturbances. To deal with the unavailability of measurement of optimization errors, an output observer is constructed,based on which adaptive laws are designed to compensate for physical uncertainties. With adaptive laws, a new distributed Nash equilibrium seeking strategy is designed by further integrating consensus protocols and gradient search ***, to further accommodate compromised communication weights resulting from cyber-uncertainties, the coupling strengths of the consensus module are designed to be adaptive. As a byproduct, the coupling strengths are independent of any global information. With theoretical investigations, it is proven that the proposed strategies are resilient to these uncertainties and players actions are convergent to the Nash equilibrium. Simulation examples are given to numerically validate the effectiveness of the proposed strategies.