Leong, Alex S. and Dey, Subhrakanti and Quevedo, Daniel E. (2015) On the Optimality of Threshold Policies in Event Triggered Estimation with Packet Drops. In: 2015 European Control Conference (ECC). IEEE. ISBN 978-3-9524-2693-7

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Abstract

We consider a remote state estimation problem, where a sensor transmits local state estimates over an independent and identically distributed (i.i.d.) packet dropping link to a remote estimator. At each discrete time instant, the sensor can decide whether to transmit, with each transmission incurring a fixed energy cost. Performance is quantified via an optimization problem that minimizes a convex combination of the expected error covariance at the remote estimator and expected energy usage. For transmission schedules dependent only on the error covariance at the remote estimator, this work establishes that a threshold policy (i.e. transmit if the error covariance exceeds a certain threshold and don't transmit otherwise) is optimal. This provides a rigorous justification for the use of such threshold policies in event triggered estimation. An extension of the result to Markovian packet drops is also outlined.

Item Type:	Book Section
Additional Information:	Cite as: A. S. Leong, S. Dey and D. E. Quevedo, "On the optimality of threshold policies in event triggered estimation with packet drops," 2015 European Control Conference (ECC), 2015, pp. 927-933, doi: 10.1109/ECC.2015.7330661.
Keywords:	Optimality; Threshold Policies; Event; Triggered Estimation; Packet Drops;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	14532
Identification Number:	https://doi.org/10.1109/ECC.2015.7330661
Depositing User:	Subhrakanti Dey
Date Deposited:	15 Jun 2021 14:15
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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