标题：Distributed Controller Design for Discrete-time Linear Systems with Fixed Topology
作者：Wang, Wei; Zhang, Fangfang; Han, Chunyan
作者机构：[Wang, Wei] Shandong Univ, Sch Control Sci & Engn, Jinan, Peoples R China.; [Zhang, Fangfang] Zhengzhou Univ, Sch Elect Engn, Zhengzhou, Peoples R C 更多
会议名称：35th Chinese Control Conference (CCC)
会议日期：JUL 27-29, 2016
来源：PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016
关键词：Distributed Control; Discrete-time System; Robust Stability
摘要：This paper investigates the distributed control problem for a set of identical decoupled multi-agent systems with a performance index coupling the behavior between the multi-agents. Based on the optimal centralized control theory, an existence condition for optimal distributed controller is firstly proposed. It shows that the globally optimal distributed controller is dependent on the structure of penalty matrix. Based on the solutions of two single linear quadratic regulator problems, a suboptimal distributed controller is also proposed. The design procedure is employed by applying the decomposition of the global discretetime algebraic Riccati equations and robustness of local controllers. The stability condition is given in terms of the spectrum of a matrix representing the desired sparsity pattern of the distributed controller. The computation complexity and communication load for each subsystem is only dependent on the number of the maximum vertex degree of the communication graph.