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Conference Papers Year : 2022

An exact robust hyperexponential differentiator

Abstract

A simple differentiator is proposed, which is modeled by a second order time-varying linear differential equation. It is shown that for any signal of interest, whose second derivative is an essentially bounded function of time, the differentiation error converges to zero with a hyperexponential rate (faster than any exponential). An implicit discretization scheme of the differentiator is given, which preserves all main properties of the continuous-time counterpart. In addition, the differentiation error is robustly stable with respect to the measurement noise with a linear gain. The efficiency of the suggested differentiator is illustrated through comparison in numeric experiments with popular alternatives.

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Dates and versions

hal-03778039 , version 1 (15-09-2022)

Identifiers

  • HAL Id : hal-03778039 , version 1

Cite

Denis Efimov, Andrey Polyakov, Konstantin Zimenko, Jian Wang. An exact robust hyperexponential differentiator. Proc. 61th IEEE Conference on Decision and Control (CDC), Dec 2022, Cancún, Mexico. ⟨hal-03778039⟩
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