TY - JOUR
T1 - Consensus-Based Distributed Estimation in the Presence of Heterogeneous, Time-Invariant Delays
AU - Doostmohammadian, Mohammadreza
AU - Khan, Usman A.
AU - Pirani, Mohammad
AU - Charalambous, Themistoklis
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2022
Y1 - 2022
N2 - Classical distributed estimation scenarios typically assume timely and reliable exchanges of information over the sensor network. This letter, in contrast, considers single time-scale distributed estimation via a sensor network subject to transmission time-delays. The proposed discrete-time networked estimator consists of two steps: (i) consensus on (delayed) a-priori estimates, and (ii) measurement update. The sensors only share their a-priori estimates with their out-neighbors over (possibly) time-delayed transmission links. The delays are assumed to be fixed over time, heterogeneous, and known. We assume distributed observability instead of local observability, which significantly reduces the communication/sensing loads on sensors. Using the notions of augmented matrices and the Kronecker product, the convergence of the proposed estimator over strongly-connected networks is proved for a specific upper-bound on the time-delay.
AB - Classical distributed estimation scenarios typically assume timely and reliable exchanges of information over the sensor network. This letter, in contrast, considers single time-scale distributed estimation via a sensor network subject to transmission time-delays. The proposed discrete-time networked estimator consists of two steps: (i) consensus on (delayed) a-priori estimates, and (ii) measurement update. The sensors only share their a-priori estimates with their out-neighbors over (possibly) time-delayed transmission links. The delays are assumed to be fixed over time, heterogeneous, and known. We assume distributed observability instead of local observability, which significantly reduces the communication/sensing loads on sensors. Using the notions of augmented matrices and the Kronecker product, the convergence of the proposed estimator over strongly-connected networks is proved for a specific upper-bound on the time-delay.
KW - communication time-delays
KW - consensus
KW - Distributed estimation
KW - Kronecker product
UR - http://www.scopus.com/inward/record.url?scp=85120798437&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2021.3128152
DO - 10.1109/LCSYS.2021.3128152
M3 - Article
AN - SCOPUS:85120798437
SN - 2475-1456
VL - 6
SP - 1598
EP - 1603
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
ER -