Design and frequency analysis of continuous finite-time-convergent differentiator

Xinhua Wang; Hai Lin

doi:10.1016/j.ast.2011.04.005

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arXiv · 1103.4286

Design and frequency analysis of continuous finite-time-convergent differentiator

Xinhua Wang·Hai Lin

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Abstract

In this paper, a continuous finite-time-convergent differentiator is presented based on a strong Lyapunov function. The continuous differentiator can reduce chattering phenomenon sufficiently than normal sliding mode differentiator, and the outputs of signal tracking and derivative estimation are all smooth. Frequency analysis is applied to compare the continuous differentiator with sliding mode differentiator. The beauties of the continuous finite-time-convergent differentiator include its simplicity, restraining noises sufficiently, and avoiding the chattering phenomenon.

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Xinhua Wang, Hai Lin. 2011-03-22. Design and frequency analysis of continuous finite-time-convergent differentiator. https://doi.org/10.1016/j.ast.2011.04.005

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