Formation control of heterogeneous agents over directed graphs

作者: Tingrui Han , Zhiyun Lin , Yun Xu , Ronghao Zheng , Haitao Zhang

DOI: 10.1109/CDC.2016.7798793

关键词:

摘要: This paper studies the formation control problem of a leader-follower heterogeneous network, for which some agents can freely fly in 3D space while others are confined 2D space. The sensing graph is assumed to be directed and onboard local coordinate systems associated with may not coincident each other. More specifically, have aligned z-axis but hold inconsistent x y axes due absence common sense about north. develops distributed law that solves network without relying on system. Moreover, it shown proposed guarantees global convergence towards any desired shape as long certain connectivity conditions hold. Simulation results provided validate our law.

参考文章(17)
Jean-Michel Dion, Christian Commault, Jacob van der Woude, Survey Generic properties and control of linear structured systems: a survey Automatica. ,vol. 39, pp. 1125- 1144 ,(2003) , 10.1016/S0005-1098(03)00104-3
Yingfei Diao, Zhiyun Lin, Minyue Fu, A Barycentric Coordinate Based Distributed Localization Algorithm for Sensor Networks IEEE Transactions on Signal Processing. ,vol. 62, pp. 4760- 4771 ,(2014) , 10.1109/TSP.2014.2339797
Julien M. Hendrickx, Changbin Yu, Barış Fidan, Brian D. O. Anderson, Rigidity and persistence for ensuring shape maintenance of multi-agent meta-formations Asian Journal of Control. ,vol. 10, pp. 131- 143 ,(2008) , 10.1002/ASJC.14
C. S. Ballantine, Stabilization by a diagonal matrix Proceedings of the American Mathematical Society. ,vol. 25, pp. 728- 734 ,(1970) , 10.1090/S0002-9939-1970-0260765-X
W. Ren, Consensus strategies for cooperative control of vehicle formations Iet Control Theory and Applications. ,vol. 1, pp. 505- 512 ,(2007) , 10.1049/IET-CTA:20050401
Kwang-Kyo Oh, Hyo-Sung Ahn, Distance-based formation control using euclidean distance dynamics matrix: Three-agent case american control conference. pp. 4810- 4815 ,(2011) , 10.1109/ACC.2011.5991056
Steven J. Gortler, Alexander D. Healy, Dylan P. Thurston, Characterizing generic global rigidity American Journal of Mathematics. ,vol. 132, pp. 897- 939 ,(2010) , 10.1353/AJM.0.0132
Laura Krick, Mireille E. Broucke, Bruce A. Francis, Stabilisation of infinitesimally rigid formations of multi-robot networks International Journal of Control. ,vol. 82, pp. 423- 439 ,(2009) , 10.1080/00207170802108441
James V. Burke, Adrian S. Lewis, Michael L. Overton, Two numerical methods for optimizing matrix stability Linear Algebra and its Applications. pp. 117- 145 ,(2002) , 10.1016/S0024-3795(02)00260-4
Zhiyun Lin, Bruce Francis, Manfredi Maggiore, Necessary and sufficient graphical conditions for formation control of unicycles IEEE Transactions on Automatic Control. ,vol. 50, pp. 121- 127 ,(2005) , 10.1109/TAC.2004.841121