Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
Optimization and Control
2011-12-14 v2
Abstract
This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and twocontrols. Some of them are known to be flat, and this implies admitting a Monge parameterization. Focusing on systems outside this class, we describe the only possible structure of such a parameterization for these systems, and give a lower bound on the order of this parameterization, if it exists. This lower-bound is good enough to recover the known results about "(x,u)-flatness" of these systems, with much more elementary techniques.
Keywords
Cite
@article{arxiv.math/0505443,
title = {Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states},
author = {David Avanessoff and Jean-Baptiste Pomet},
journal= {arXiv preprint arXiv:math/0505443},
year = {2011}
}