标题：The research of distributed suboptimal controller for continuous-time multi-agent systems
作者：Li, Xiaoqian ;Zhang, Fangfang ;Wang, Wei
作者机构：[Li, Xiaoqian ;Wang, Wei ] School of Information Science and Engineering, Shandong University, Jinan; 250061, China;[Zhang, Fangfang ] School of Elect 更多
会议名称：2017 Chinese Automation Congress, CAC 2017
会议日期：20 October 2017 through 22 October 2017
来源：Proceedings - 2017 Chinese Automation Congress, CAC 2017
关键词：Algebraic Riccati Equation; Distributed control; Laplacian matrix; Multi-agent systems
摘要：This paper revisits the distributed suboptimal LQR control problem for continuous-time multi-agent systems. Based on the system's topological structure, we design the distributed controllers in which each subsystem can use the information of its state and its neighbors'. The multi-agent system are described by an identical decoupled dynamical equation and a coupled performance index. Associating with the given matrix G and the designed suboptimal feedback gain matrices, the general distributed suboptimal controllers are obtained. By using the stable eigenvectors of the Hamiltonian matrix, the asymptotical convergence of the modified ARE is proved for infinite-horizon systems under mild conditions. To make this result more persuasively, the consideration for infinite-time distributed systems is presented and the suboptimal controllers are obtained. © 2017 IEEE.