Title of article :
Finite-time distributed consensus via binary control protocols
Author/Authors :
Chen، نويسنده , , Gang and Lewis، نويسنده , , Frank L. and Xie، نويسنده , , Lihua، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
7
From page :
1962
To page :
1968
Abstract :
This paper investigates the finite-time distributed consensus problem for multi-agent systems using a binary consensus protocol and the pinning control scheme. Compared with other consensus algorithms which need the complete state or output information of neighbors, the proposed algorithm only requires sign information of the relative state measurements, that is, the differences between a node’s state and that of its neighbors. This corresponds to only requiring a single-bit quantization error relative to each neighbor. This signum protocol is realistic in terms of observed behavior in animal groups, where relative motion is determined not by full time-signal measurements, but by coarse estimates of relative heading differences between neighbors. The signum protocol does not require explicit measurement of time signals from neighbors, and hence has the potential to significantly reduce the requirements for both computation and sensing. Analysis of discontinuous dynamical systems is used, including the Filippov solutions and set-valued Lie derivative. Based on the second-order information on the evolution of Lyapunov functions, the conditions that guarantee the finite-time consensus for the systems are identified. Numerical examples are given to illustrate the theoretical results.
Keywords :
cooperative control , Network consensus , Pinning control , Multi-agent systems
Journal title :
Automatica
Serial Year :
2011
Journal title :
Automatica
Record number :
1448440
Link To Document :
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