Distributed Nash Equilibrium Seeking with Disturbances of Unknown Frequencies for High-Order Integrators over Jointly Strongly Connected Switching Networks  

作　　者：HE Xiongnan HUANG Jie 

机构地区：[1]Department of Mechanical and Automation Engineering,The Chinese University of Hong Kong,Hong Kong 999077,China

出　　处：《Journal of Systems Science & Complexity》2025年第1期369-389,共21页系统科学与复杂性学报(英文版)

基　　金：supported in part by the Research Grants Council of the Hong Kong Special Administration Region under Grant No.14201420;in part by the National Natural Science Foundation of China under GrantNo.61973260.

摘　　要：In this paper,the authors study the problem of distributed Nash equilibrium seeking of N-player games with high-order integrator dynamics subject to disturbances generated by an uncertain exosystem.Similar problems have been studied for disturbances with an exactly known exosystem.Compared with the existing results of high-order integrator dynamics,which can only handle sinusoidal disturbances with known frequencies,this paper aims to handle multi-tone disturbances with unknown frequencies by introducing an adaptive control technique to estimate the unknown frequencies.Technically,when the exosystem is known,the disturbance can be dealt with by the Luenburger observer.In contrast,the Luenburger observer cannot deal with an uncertain exosystem.The authors combine the internal model design and some adaptive control technique to solve the proposed problem.Further,the authors also establish the sufficient condition to guarantee the convergence of the estimated unknown frequencies to the actual values of these frequencies.Two examples are given to verify the proposed algorithm.

关 键 词：Adaptive control disturbance rejection high-order integrator dynamics internal model jointly strongly connected switching graphs Nash equilibrium seeking 

分 类 号：O225[理学—运筹学与控制论] TP13[理学—数学]