Leader-to-formation stability

被引:526
作者
Tanner, HG [1 ]
Pappas, GJ
Kumar, V
机构
[1] Univ New Mexico, Dept Mech Engn, Albuquerque, NM 87131 USA
[2] Univ Penn, Dept Elect & Syst Engn, Philadelphia, PA 19104 USA
[3] Univ Penn, Dept Mech Engn & Appl Mech, Philadelphia, PA 19104 USA
来源
IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION | 2004年 / 20卷 / 03期
关键词
formation stability; graph theory; input-to-state stability; interconnected systems;
D O I
10.1109/TRA.2004.825275
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper investigates the stability properties of mobile agent formations which are based on leader following. We derive nonlinear gain estimates that capture how leader behavior affects the interconnection errors observed in the formation. Leader-to-formation stability (LFS) gains quantify error amplification, relate interconnection topology to stability and performance, and offer safety bounds for different formation topologies. Analysis based on the LFS gains provides insight to error propagation and suggests ways to improve the safety, robustness, and performance characteristics of a formation.
引用
收藏
页码:443 / 455
页数:13
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