Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Robust Circle-criterion Observer-based Estimator for Discrete-time
  Nonlinear Systems in the Presence of Sensor Attacks and Measurement Noise   We address the problem of robust state estimation of a class of discrete-time
nonlinear systems with positive-slope nonlinearities when the sensors are
corrupted by (potentially unbounded) attack signals and bounded measurement
noise. We propose an observer-based estimator, using a bank of circle-criterion
observers, which provides a robust estimate of the system state in spite of
sensor attacks and measurement noise. We first consider the attack-free case
where there is measurement noise and we provide a design method for a robust
circle-criterion observer. Then, we consider the case when a sufficiently small
subset of sensors are subject to attacks and all sensors are affected by
measurement noise. We use our robust circle-criterion observer as the main
ingredient in building an estimator that provides robust state estimation in
this case. Finally, we propose an algorithm for isolating attacked sensors in
the case of bounded measurement noise. We test this algorithm through
simulations.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con