English

High-order integral-chain differentiator and application to acceleration feedback

Systems and Control 2011-02-15 v1

Abstract

The equivalence between integral-chain differentiator and usual high-gain differentiator is given under suitable coordinate transformation. Integral-chain differentiator can restrain noises more thoroughly than usual high-gain linear differentiator. In integral-chain differentiator, disturbances only exist in the last differential equation and can be restrained through each layer of integrator. Moreover, a nonlinear integral-chain differentiator is designed which is the expansion of linear integral-chain differentiator. Finally, a 3-order differentiator is applied to the estimation of acceleration for a second-order uncertain system.

Keywords

Cite

@article{arxiv.1102.2600,
  title  = {High-order integral-chain differentiator and application to acceleration feedback},
  author = {Xinhua Wang},
  journal= {arXiv preprint arXiv:1102.2600},
  year   = {2011}
}
R2 v1 2026-06-21T17:25:31.137Z