A Triangular Normal Form for x-Flat Control-Affine Two-Input Systems
arXiv:2403.15592 · doi:10.1109/MMAR62187.2024.10680807
Abstract
This paper is devoted to normal forms for x-flat control-affine systems with two inputs. We propose a general triangular normal form which contains several other normal forms discussed in the literature as special cases. We derive conditions under which a system with given x-flat output can be transformed into the proposed triangular form. Based on the triangular form we motivate a simple algorithm for identifying candidates for flat outputs.
References in corpus (7)
- On an implicit triangular decomposition of nonlinear control systems that are 1-flat - a constructive approach
- Necessary and Sufficient Conditions for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback
- A Structurally Flat Triangular Form Based on the Extended Chained Form
- On the Linearization of Flat Two-Input Systems by Prolongations and Applications to Control Design
- A Flat System Possessing no (x,u)-Flat Output
- On a Flat Triangular Form Based on the Extended Chained Form
- Normal forms for x-flat two-input control-affine systems in dimension five