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Attack-Resilient H_2, H_∞, and ℓ_1 State Estimator

Nakahira, Yorie and Mo, Yilin (2018) Attack-Resilient H_2, H_∞, and ℓ_1 State Estimator. IEEE Transactions on Automatic Control, 63 (12). pp. 4353-4360. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:20180330-090419392

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Abstract

This paper considers the secure state estimation problem for noisy systems in the presence of sparse sensor integrity attacks. We show a fundamental limitation: that is, 2ρ-detectability is necessary for achieving bounded estimation errors, where ρ is the number of attacks. This condition is weaker than the 2ρ-observability condition typically assumed in the literature. Conversely, we propose a real-time state estimator that achieves the fundamental limitation. The proposed state estimator is inspired by robust control and FDI: that is, it consists of local Luenberger estimators, local residual detectors, and a global fusion process. We show its performance guarantees for H_2, H_∞, and ℓ_1 systems. Finally, numerical examples show that it has relatively low estimation errors among existing algorithms and average computation time for systems with a sufficiently small number of compromised sensors.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/TAC.2018.2819686DOIArticle
http://ieeexplore.ieee.org/document/8325450PublisherArticle
ORCID:
AuthorORCID
Nakahira, Yorie0000-0003-3324-4602
Mo, Yilin0000-0001-7937-6737
Alternate Title:Attack-Resilient H2, H-infinity, and L1 State Estimator
Additional Information:© 2018 IEEE. Manuscript received January 6, 2018; accepted March 8, 2018. Date of publication March 26, 2018; date of current version December 3, 2018. This research is supported by National Science Foundation (NSF), Air Force Office of Scientific Research (AFOSR), and Singapore Ministry of Education Academic Research Fund Tier 1 under Grant no. M4011866. The authors would like to thank Professor John Doyle and Professor Richard Murray for insightful discussions.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Ministry of Education Academic Research (Singapore)M4011866
Subject Keywords:Secure state estimation, fault tolerance, sparse sensor integrity attacks, Luenberger observer, robust control
Record Number:CaltechAUTHORS:20180330-090419392
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180330-090419392
Official Citation:Y. Nakahira and Y. Mo, "Attack-Resilient H_2, H_infty, and l_1 State Estimator," in IEEE Transactions on Automatic Control, vol. 63, no. 12, pp. 4353-4360, Dec. 2018. doi: 10.1109/TAC.2018.2819686
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85522
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Mar 2018 16:15
Last Modified:03 Dec 2018 22:24

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