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Distributed resource allocation of second‐order multiagent systems with exogenous disturbances
Author(s) -
Li Shiling,
Nian Xiaohong,
Deng Zhenhua
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4830
Subject(s) - resource allocation , computer science , mathematical optimization , convergence (economics) , lyapunov function , multi agent system , order (exchange) , gradient descent , function (biology) , distributed computing , artificial neural network , mathematics , artificial intelligence , computer network , physics , finance , nonlinear system , quantum mechanics , evolutionary biology , economics , biology , economic growth
Summary In this paper, we study the resource allocation problem of second‐order multiagent systems with exogenous disturbances, and the communication networks are weight‐balanced digraphs. Different from the well‐studied resource allocation problems, our problem involves the disturbed second‐order dynamics of agents. In order to achieve the optimal allocation, we propose a distributed algorithm based on gradient descent and internal model approach. Furthermore, we analyze the convergence of the algorithm by constructing a suitable Lyapunov function. Moreover, we prove that the agents in the network can achieve the exact optimal allocation even in the presence of external disturbances. Finally, we provide two examples to illustrate our result.