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Computer Science > Systems and Control

arXiv:1604.00217 (cs)
[Submitted on 1 Apr 2016 (v1), last revised 4 Apr 2018 (this version, v2)]

Title:Moving horizon estimation for discrete-time linear systems with binary sensors: algorithms and stability results

Authors:Giorgio Battistelli, Luigi Chisci, Stefano Gherardini
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Abstract:The paper addresses state estimation for linear discrete-time systems with binary (threshold) measurements. A Moving Horizon Estimation (MHE) approach is followed and different estimators, characterized by two different choices of the cost function to be minimized and/or by the possible inclusion of constraints, are proposed. Specifically, the cost function is either quadratic, when only the information pertaining to the threshold-crossing instants is exploited, or piece-wise quadratic, when all the available binary measurements are taken into account. Stability results are provided for the proposed MHE algorithms in the presence of unknown but bounded disturbances and measurement noises. Performance of the proposed techniques is also assessed by means of a simulation example.
Comments: 20 pages, 8 figures; references added, typos corrected, and numerical results extended
Subjects: Systems and Control (eess.SY)
Cite as: arXiv:1604.00217 [cs.SY]
  (or arXiv:1604.00217v2 [cs.SY] for this version)
  https://doi.org/10.48550/arXiv.1604.00217
Journal reference: Automatica 85, 374-385 (2017)
Related DOI: https://doi.org/10.1016/j.automatica.2017.07.035

Submission history

From: Stefano Gherardini [view email]
[v1] Fri, 1 Apr 2016 12:23:05 UTC (73 KB)
[v2] Wed, 4 Apr 2018 08:22:47 UTC (186 KB)
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