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Título del libro: 2017 Ieee 56th Annual Conference On Decision And Control (cdc)
Título del capítulo: A novel differentiator: A compromise between super twisting and linear algorithms

Autores UNAM:
LEONID FRIDMAN;
Autores externos:

Idioma:
Inglés
Año de publicación:
2018
Palabras clave:

Control engineering; Differentiators; Linear algorithms; Linear observer; Practical stability; Second order sliding modes; Super- twisting; Trade off; Variable exponents; Economic and social effects


Resumen:

Based on the frequency argument, a novel second order sliding mode differentiator with a variable exponent a is proposed in this article. The super twisting differentiator (a = 0, 5) is not sensible to perturbation but its accuracy is degraded when the signal is affected by the noise. The linear observer (a = 1) has better property in the presence of noise but is less robust to perturbations. The goal of this paper is to propose a trade-off between the exact differentiator and linear observer. To reach this objective, the parameter a is made variable. In the absence of noise a goes to 0, 5 and tends to 1 when the noise increases. In free-noise case and with or without perturbation, the novel differentiator behaves as a super twisting differentiator (exact differentiation). When the signal is affected by noise, only a practical stability of the differentiator is ensured. Finally simulation results are given to show that the novel differentiator has better performances compared to differentiators having a fixed. © 2017 IEEE.


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