Volume 109, Number 1, January 2015
|Number of page(s)||6|
|Published online||20 January 2015|
Fast second-order consensus via predictive mechanisms
1 School of Electronic Information Engineering, Tianjin University - Tianjin 300072, PRC
2 College of Information Engineering, Tianjin University of Commerce - Tianjin 300134, PRC
Received: 8 July 2014
Accepted: 17 December 2014
In this paper, we discuss second-order consensus problems for multi-agent systems with dynamic agents and fixed topologies. A new second-order consensus protocol incorporating the predictive mechanism is proposed and a convergence analysis related to the real and imaginary parts of the eigenvalues of the Laplacian matrix of the corresponding network is provided. We establish a direct connection between the eigenvalues of the Laplacian matrix and parameters of the proposed second-order consensus model, and we compute a lower bound for the sum of parameters. It is proved under general conditions related to the second-order consensus protocol and the network topology that the asymptotic consensus is achieved and the convergence speed is increased via designing a state predictor. Finally, simulation results are provided to verify the effectiveness of the proposed protocol and the analytical claims.
PACS: 05.65.+b – Self-organized systems / 89.75.Hc – Networks and genealogical trees / 89.75.-k – Complex systems
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.