English

On algebraic time-derivative estimation and deadbeat state reconstruction

Optimization and Control 2018-04-27 v3

Abstract

This note places into perspective the so-called algebraic time-derivative estimation method recently introduced by Fliess and co-authors with standard results from linear state-space theory for control systems. In particular, it is shown that the algebraic method can in a sense be seen as a special case of deadbeat state estimation based on the reconstructibility Gramian of the considered system.

Cite

@article{arxiv.0710.0010,
  title  = {On algebraic time-derivative estimation and deadbeat state reconstruction},
  author = {Johann Reger and Jérôme Jouffroy},
  journal= {arXiv preprint arXiv:0710.0010},
  year   = {2018}
}

Comments

Maple-supplements available at https://www.tu-ilmenau.de/regelungstechnik/mitarbeiter/johann-reger/

R2 v1 2026-06-21T09:23:46.820Z