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Chin. Phys. B, 2008, Vol. 17(12): 4458-4465    DOI: 10.1088/1674-1056/17/12/021
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Agreement coordination for second-order multi-agent systems with disturbances

Zhang Chun-Xia, Li Huia, Lin Pengb
a School of Instrument Science and Opto--electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; b The Seventh Research Division, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Abstract  This paper is devoted to the study of consensus problems for the second-order multi-agent systems with external disturbances, switching topology and communication time-delay. Firstly, we perform a model transformation and separate the agreement states from the disagreement states. Secondly, according to this system, we derive a sufficient condition for consensus problem without disturbances by using the Lyapunov-based approach. Furthermore, we give a design criterion in terms of bilinear matrix inequality for the control protocol in the presence of disturbances. Finally, numerical simulations are provided to show the effectiveness of our strategies.
Keywords:  time-delay      switching topology      disturbance      consensus      multi-agent systems     
Received:  19 May 2008      Published:  20 December 2008
PACS:  89.75.Hc (Networks and genealogical trees)  
  02.60.Cb (Numerical simulation; solution of equations)  
  02.60.Dc (Numerical linear algebra)  
  07.05.Dz (Control systems)  
  07.05.Tp (Computer modeling and simulation)  

Cite this article: 

Zhang Chun-Xi, Li Hui, Lin Peng Agreement coordination for second-order multi-agent systems with disturbances 2008 Chin. Phys. B 17 4458

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