Title
Three-dimensional containment control for multiple unmanned aerial vehicles.
Abstract
In this paper, the three-dimensional containment control problems of multiple unmanned aerial vehicle (UAV) systems are solved for both stationary and dynamic master UAV cases. For the stationary case, a distributed linear containment control protocol is constructed only using relative state information, where the gain matrix can be determined by solving the modified algebraic Riccati inequality. Then, for the dynamic case, a sampled-data based protocol is induced by choosing the sampling period and gain parameter properly. Using tools from Lyapunov stability and algebraic graph theories, the proposed control protocols guarantee that the states of the slave UAVs will ultimately converge into the convex hull spanned by the master UAVs in the three-dimensional space. Finally, two numerical simulations are carried out to validate the effectiveness of theoretical results.
Year
DOI
Venue
2016
10.1016/j.jfranklin.2016.05.018
Journal of the Franklin Institute
Field
DocType
Volume
Gain parameter,Graph,Mathematical optimization,Algebraic number,Control theory,Matrix (mathematics),Sampling (signal processing),Convex hull,Lyapunov stability,Containment,Mathematics
Journal
353
Issue
ISSN
Citations 
13
0016-0032
2
PageRank 
References 
Authors
0.38
0
6
Name
Order
Citations
PageRank
Tao Han15711.82
Zhihong Guan21704135.76
Yonghong Wu321234.70
Ding-Fu Zheng4202.00
Xianhe Zhang5221.95
Jiang-Wen Xiao61069.86