Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Second-Order Nonlinear Differentiator With Application to Active
  Disturbance Rejection Control   A Second-order Nonlinear Differentiator (SOND) is presented in this paper. By
combining both linear and nonlinear terms, this tracking differentiator shows
better dynamical performances than other conventional differentiators do. The
hyperbolic tangent tanh(.) function is introduced due to two reasons; firstly,
the high slope of the continuous tanh(.) function near the origin significantly
accelerates the convergence of the proposed tracking differentiator and reduces
the chattering phenomenon. Secondly, the saturation feature of the function due
to its nonlinearity increases the robustness against the noise components in
the signal. The stability of the suggested tracking differentiator is proven
based on the Lyapunov analysis. In addition, a frequency-based analysis is
applied to investigate the dynamical performances. The performance of the
proposed tracking differentiator has been tested in active disturbance
rejection control (ADRC) paradigm, which is a recent robust control technique.
The numerical simulations emphasize the expected improvements.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat