Design and analysis of continuous hybrid differentiator

Details Design and analysis of continuous hybrid differentiator Design and analysis of continuous hybrid differentiator

2011-03-22

arxiv.org/abs/1103.4311v1

IET Control Theory and Applications, 2011, Vol. 5, Iss. 11, pp. 1321--1334

Computer Science

Systems and Control

Scientific paper

10.1049/iet-cta.2010.0330

In this paper, a continuous hybrid differentiator is presented based on a strong Lyapunov function. The differentiator design can not only reduce sufficiently chattering phenomenon of derivative estimation by introducing a perturbation parameter, but also the dynamical performances are improved by adding linear correction terms to the nonlinear ones. Moreover, strong robustness ability is obtained by integrating sliding mode items and the linear filter. Frequency analysis is applied to compare the hybrid continuous differentiator with sliding mode differentiator. The merits of the continuous hybrid differentiator include the excellent dynamical performances, restraining noises sufficiently, and avoiding the chattering phenomenon.

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