Distributed resource allocation of second‐order multiagent systems with exogenous disturbances. (11th December 2019)

• Record Type: Journal Article
• Authors: Li, Shiling; Nian, Xiaohong; Deng, Zhenhua
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 3(2020)
• Page Start: 1298
• Page End: 1310
• Publication Date: 2019-12-11
• Subjects: distributed optimization -- disturbance rejection -- internal model -- resource allocation -- second‐order multiagent systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4830
• Languages: English
• ISSNs: 1049-8923

Abstract

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.