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Stochastic Event-Triggered Sensor Schedule for Remote State Estimation

Han, Duo and Mo, Yilin and Wu, Junfeng and Weerakkody, Sean and Sinopoli, Bruno and Shi, Ling (2015) Stochastic Event-Triggered Sensor Schedule for Remote State Estimation. IEEE Transactions on Automatic Control, 60 (10). pp. 2661-2675. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:20160121-081608960

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Abstract

We propose an open-loop and a closed-loop stochastic event-triggered sensor schedule for remote state estimation. Both schedules overcome the essential difficulties of existing schedules in recent literature works where, through introducing a deterministic event-triggering mechanism, the Gaussian property of the innovation process is destroyed which produces a challenging nonlinear filtering problem that cannot be solved unless approximation techniques are adopted. The proposed stochastic event-triggered sensor schedules eliminate such approximations. Under these two schedules, the minimum mean squared error (MMSE) estimator and its estimation error covariance matrix at the remote estimator are given in a closed-form. The stability in terms of the expected error covariance and the sample path of the error covariance for both schedules is studied. We also formulate and solve an optimization problem to obtain the minimum communication rate under some estimation quality constraint using the open-loop sensor schedule. A numerical comparison between the closed-loop MMSE estimator and a typical approximate MMSE estimator with deterministic event-triggered sensor schedule, in a problem setting of target tracking, shows the superiority of the proposed sensor schedule.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TAC.2015.2406975DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7047754PublisherArticle
Additional Information:© 2015 IEEE. Manuscript received February 20, 2014; revised September 26, 2014 and December 14, 2014; accepted February 14, 2015. Date of publication February 24, 2015; date of current version September 23, 2015. This work was supported by a HK RGC GRF Grant 618612, in part by CyLab at Carnegie Mellon under Grant DAAD19-02-1-0389 from the Army Research Office Foundation. Recommended by Associate Editor W. X. Zheng.
Funders:
Funding AgencyGrant Number
Hong Kong Research Grant Council618612
Army Research Office (ARO)DAAD19-02-1-0389
Subject Keywords:Minimum mean squared error (MMSE)
Record Number:CaltechAUTHORS:20160121-081608960
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160121-081608960
Official Citation:Duo Han; Yilin Mo; Junfeng Wu; Weerakkody, S.; Sinopoli, B.; Ling Shi, "Stochastic Event-Triggered Sensor Schedule for Remote State Estimation," in Automatic Control, IEEE Transactions on , vol.60, no.10, pp.2661-2675, Oct. 2015 doi: 10.1109/TAC.2015.2406975
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63828
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Jan 2016 18:22
Last Modified:21 Jan 2016 18:22

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