TY - GEN
T1 - Distributed agreement in the presence of noise
AU - Wang, Jing
AU - Elia, Nicola
PY - 2009/12/1
Y1 - 2009/12/1
N2 - In this paper, we propose a distributed dynamic consensus scheme which exhibits noise resilient property. In our setup, each node is modeled as a simple integrator. We use frequency-domain analysis to establish that the output of each node tracks the (weighted) average of the inputs of all nodes with zero steady-state error and show that a certain kind of graph Laplacain (called feasible Laplacian) is necessary in our framework. The eigenvalue location of feasible Laplacians turns out to be an LMI region, which allows us to derive an LMI test condition. When the noise is present, we show that the output tracking error has a bounded covariance.
AB - In this paper, we propose a distributed dynamic consensus scheme which exhibits noise resilient property. In our setup, each node is modeled as a simple integrator. We use frequency-domain analysis to establish that the output of each node tracks the (weighted) average of the inputs of all nodes with zero steady-state error and show that a certain kind of graph Laplacain (called feasible Laplacian) is necessary in our framework. The eigenvalue location of feasible Laplacians turns out to be an LMI region, which allows us to derive an LMI test condition. When the noise is present, we show that the output tracking error has a bounded covariance.
KW - Consensus in the presence of noise
KW - Distributed control
KW - LMI region
UR - http://www.scopus.com/inward/record.url?scp=77949587879&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77949587879&partnerID=8YFLogxK
U2 - 10.1109/ALLERTON.2009.5394486
DO - 10.1109/ALLERTON.2009.5394486
M3 - Conference contribution
AN - SCOPUS:77949587879
SN - 9781424458714
T3 - 2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
SP - 1575
EP - 1581
BT - 2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
T2 - 2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
Y2 - 30 September 2009 through 2 October 2009
ER -