Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays
Containment analysis and design problems for high-order linear time-invariant singular swarm systems with time delays on directed graphs are dealt with. To eliminate impulse terms in singular swarm systems and ensure that the singular swarm systems can achieve containment, time-delayed protocols are presented for leaders and followers respectively. By model transformation, containment problems of singular swarm systems are converted into the asymptotically stable problems of multiple low-dimensional time-delayed systems. In terms of linear matrix inequality, sufficient conditions are presented for time-delayed singular swarm systems to achieve containment, which are independent of the number of agents. By applying changing variable methods, an approach is provided to determine the gain matrix in the protocols. Numerical simulations are shown to demonstrate theoretical results.
Singular swarm system High-order Containment Time delay
Xiwang Dong Jianxiang Xi Zongying Shi Yisheng Zhong
Dept. of Automation, Tsinghua University, Beijing, 100084 Dept. of Automation, Tsinghua University, Beijing, 100084 High-Tech Institute of Xi’an, Xi’an, 71002 Dept. of Automation, TNList, Tsinghua University, Beijing, 100084
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
6296-6302
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）