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Chin. Phys. B, 2014, Vol. 23(4): 040503    DOI: 10.1088/1674-1056/23/4/040503
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Collective composite-rotating consensus of multi-agent systems

Lin Peng (林鹏)a b, Lu Wan-Ting (卢婉婷)a, Song Yong-Duan (宋永端)a
a School of Automation, Chongqing University, Chongqing 400030, China;
b State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract  This paper investigates a distributed composite-rotating consensus problem of second-order multi-agent systems, where all agents move in a nested circular orbit. A distributed control law is proposed which contains two parts: the local state feedback that guarantees the circular motion and the distributed relative state feedback that guarantees the consensus of all agents. A sufficient condition is derived to drive all agents as well as ensure their circle centers make circular motion in a distributed manner. Finally, a numerical simulation is included to demonstrate our theoretical results.
Keywords:  composite-rotating consensus      second-order dynamics      complex systems  
Received:  31 December 2012      Revised:  31 December 2013      Accepted manuscript online: 
PACS:  05.65.+b (Self-organized systems)  
  02.10.Yn (Matrix theory)  
  87.10.-e (General theory and mathematical aspects)  
Fund: Project supported by the Major State Basic Research Development Program of China (Grant No. 2012CB215202), the National Natrual Science Fundation of China (Grant Nos. 61134001 and 61203080), and the Fundamental Research Funds for the Central Universities (Grant Nos. ZYGX2010J113 and ZYGX2010J114).
Corresponding Authors:  Song Yong-Duan     E-mail:  ydsong@cqu.edu.cn
About author:  05.65.+b; 02.10.Yn; 87.10.-e

Cite this article: 

Lin Peng (林鹏), Lu Wan-Ting (卢婉婷), Song Yong-Duan (宋永端) Collective composite-rotating consensus of multi-agent systems 2014 Chin. Phys. B 23 040503

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