English

Switching Differentiator

Systems and Control 2018-05-01 v1

Abstract

A novel switching differentiator that has considerably simple form is proposed. Under the assumption that time-derivatives of the signal are norm-bounded, it is shown that estimation errors are convergent to the zeros asymptotically. The estimated derivatives shows neithor chattering nor peaking pheonomenon. A 1st-order diffentiator is firstly proposed and, by connecting this differentiator in series, higher-order derivatives are also available. Simulation results show that the proposed differentiator show extreme performance compared to the widly used previous differntiators such as high-gain observer or hige-order sliding mode differentiator.

Keywords

Cite

@article{arxiv.1804.10734,
  title  = {Switching Differentiator},
  author = {Jang-Hyun Park},
  journal= {arXiv preprint arXiv:1804.10734},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-23T01:38:46.475Z