English

On a Flat Triangular Form Based on the Extended Chained Form

Dynamical Systems 2021-07-29 v2 Differential Geometry Optimization and Control

Abstract

In this paper, we present a structurally flat triangular form which is based on the extended chained form. We provide necessary and sufficient conditions for an affine input system with two inputs to be static feedback equivalent to the proposed triangular form, and thus a sufficient condition for an affine input system to be flat.

Keywords

Cite

@article{arxiv.2002.01203,
  title  = {On a Flat Triangular Form Based on the Extended Chained Form},
  author = {Conrad Gstöttner and Bernd Kolar and Markus Schöberl},
  journal= {arXiv preprint arXiv:2002.01203},
  year   = {2021}
}

Comments

simplified notation, added references, corrected typos, different example

R2 v1 2026-06-23T13:30:31.059Z