HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states

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.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/inria-00000040
Contributor : Jean-Baptiste Pomet Connect in order to contact the contributor
Submitted on : Friday, December 2, 2005 - 11:41:28 AM
Last modification on : Friday, January 21, 2022 - 3:20:55 AM
Long-term archiving on: : Monday, September 20, 2010 - 1:22:47 PM

Identifiers

Collections

Citation

David Avanessoff, Jean-Baptiste Pomet. Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2007, 13 (2), pp.237-264. ⟨10.1051/cocv:2007011⟩. ⟨inria-00000040v2⟩

Share

Metrics

Record views

141

Files downloads

214