TY - JOUR
T1 - Distributed observers with time-varying delays
AU - Silm, Haik
AU - Ushirobira, Rosane
AU - Efimov, Denis
AU - Fridman, Emilia
AU - Richard, Jean Pierre
AU - Michiels, Wim
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - The distributed estimation problem is solved for continuous-time observer nodes that obtain real-time measurements but communicate with their neighbors over a communication network. To this end, the digital communication between the observer nodes is modeled by the time-delay approach where variable sampling intervals, transmission delays, and packet dropouts are taken into account. An LMI for the design of the observer gains is derived using Halanay's inequality, the feasibility of which guarantees exponential stability with a selected convergence rate up to a maximum total delay. A comparison of the maximal delay on a numerical example shows the advantage of a distributed observer over a centralized one.
AB - The distributed estimation problem is solved for continuous-time observer nodes that obtain real-time measurements but communicate with their neighbors over a communication network. To this end, the digital communication between the observer nodes is modeled by the time-delay approach where variable sampling intervals, transmission delays, and packet dropouts are taken into account. An LMI for the design of the observer gains is derived using Halanay's inequality, the feasibility of which guarantees exponential stability with a selected convergence rate up to a maximum total delay. A comparison of the maximal delay on a numerical example shows the advantage of a distributed observer over a centralized one.
KW - Distributed estimation problem
KW - networked control systems
KW - time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=85098770036&partnerID=8YFLogxK
U2 - 10.1109/TAC.2020.3044271
DO - 10.1109/TAC.2020.3044271
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AN - SCOPUS:85098770036
SN - 0018-9286
VL - 66
SP - 5354
EP - 5361
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 11
ER -