Search

This article investigates a resource allocation problem of second‐order nonlinear multiagent systems. The resource allocation problem arises from many fields such as economic dispatch, network utility maximization, and demand response. Due to the dynamics of agents, we cannot solve this problem by using existing resource allocation algorithms. In order to achieve the optimal allocation, we propose a distributed protocol for agents based on gradient descent. Besides, we analyze the global convergence of the algorithm by constructing a suitable Lyapunov function. Finally, we provide examples to illustrate our result. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]