文献类型：期刊文献

英文题名：Guaranteed Cost Formation Control for Linear Multi-agent Systems with Switching Topologies

作者：Zhang, Yaxiao[1,2]; Huang, Ning[3]; Tong, Shiwen[1,2]; Zheng, Bopei[1,2]

第一作者：张亚霄

机构：[1] Beijing Key Laboratory of Information Service Engineering, Beijing Union University, Beijing, 100101, China; [2] College of Robotics, Beijing Union University, Beijing, 100027, China; [3] Beijing spacecrafts Ltd., Beijing, 100094, China

第一机构：北京联合大学北京市信息服务工程重点实验室

年份：2021

卷号：13013 LNAI

起止页码：476-486

外文期刊名：Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

收录：EI(收录号：20214411100858)

语种：英文

外文关键词：Linear matrix inequalities - Cost functions - Linear transformations - Topology - Switching

摘要：Guaranteed-cost formation problem for linear multi-agent systems with switching topologies is investigated. The guaranteed cost formation problem is transformed into a guaranteed cost control problem of an reduced-order switched systems equivalently by a linear transformation. Then, a necessary and sufficient condition for guaranteed cost formation is proposed. Moreover, based on an average dwell time scheme, a sufficient condition for the guaranteed cost formation of linear multi-agent system with switching topologies are presented in terms of linear matrix inequality techniques, and an upper bound of the guaranteed cost function is given. Finally, a numerical example is given to demonstrate the effectiveness of the theoretical results. ? 2021, Springer Nature Switzerland AG.