Design and analysis of continuous hybrid differentiator
Systems and Control
2011-09-27 v1 Dynamical Systems
Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.1103.4311,
title = {Design and analysis of continuous hybrid differentiator},
author = {Xinhua Wang and Hai Lin},
journal= {arXiv preprint arXiv:1103.4311},
year = {2011}
}