Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics

Automatica ◽  
2011 ◽  
Vol 47 (8) ◽  
pp. 1706-1712 ◽  
Author(s):  
Shihua Li ◽  
Haibo Du ◽  
Xiangze Lin
Author(s):  
Fang Wang ◽  
◽  
Xin Chen ◽  
Yong He ◽  

The finite-time consensus problem for double-integrator multi-agent systems (MASs) is studied using time-varying directed topologies. In detail, a distributed finite-time control protocol is designed to achieve the weighted average consensus on the basis of both relative position and relative velocity measurements by utilizing a homogeneous control technique. Then, on the basis of graph theory, homogeneity with dilation and LaSalle’s invariance principle, the designed finite-time consensus protocol ensures finite-time convergence to a consensus in the time-varying directed topologies without a global leader. Finally, some examples and simulation results are given to illustrate the effectiveness of the obtained theoretical results.


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