TY - JOUR
T1 - Average consensus with weighting matrix design for quantized communication on directed switching graphs
AU - Li, Shuai
AU - Guo, Yi
AU - Fang, Jun
AU - Li, Hongbin
PY - 2013/6
Y1 - 2013/6
N2 - We study average consensus for directed graphs with quantized communication under fixed and switching topologies. In the presence of quantization errors, conventional consensus algorithms fail to converge and may suffer from an unbounded asymptotic mean square error. We develop robust consensus algorithms to reduce the effect of quantization. Specifically, we introduce a robust weighting matrix design and use the H∞ performance index to measure the sensitivity from the quantization error to the consensus deviation. Linear matrix inequalities are used as design tools. The mean square deviation is proven to converge and its upper bound is explicitly given in the case of fixed topology with probabilistic quantization. Numerical results demonstrate the effectiveness of this method.
AB - We study average consensus for directed graphs with quantized communication under fixed and switching topologies. In the presence of quantization errors, conventional consensus algorithms fail to converge and may suffer from an unbounded asymptotic mean square error. We develop robust consensus algorithms to reduce the effect of quantization. Specifically, we introduce a robust weighting matrix design and use the H∞ performance index to measure the sensitivity from the quantization error to the consensus deviation. Linear matrix inequalities are used as design tools. The mean square deviation is proven to converge and its upper bound is explicitly given in the case of fixed topology with probabilistic quantization. Numerical results demonstrate the effectiveness of this method.
KW - H norm
KW - average consensus
KW - linear matrix inequalities
KW - quantization
KW - switching directed graph
UR - http://www.scopus.com/inward/record.url?scp=84878568824&partnerID=8YFLogxK
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U2 - 10.1002/acs.2327
DO - 10.1002/acs.2327
M3 - Article
AN - SCOPUS:84878568824
SN - 0890-6327
VL - 27
SP - 519
EP - 540
JO - International Journal of Adaptive Control and Signal Processing
JF - International Journal of Adaptive Control and Signal Processing
IS - 6
ER -