Extending flat motion planning to non-flat systems. experiments on aircraft models using maple

F Ollivier - Proceedings of the 2022 International Symposium on …, 2022 - dl.acm.org
Aircraft models may be considered as flat if one neglects some terms associated to
aerodynamics. Computational experiments in Maple show that in some cases a suitably …

Differential Flatness by Pure Prolongation: Necessary and Sufficient Conditions

J Levine - arxiv preprint arxiv:2303.17761, 2023 - arxiv.org
In this article, we introduce the notion of differential flatness by pure prolongation: loosely
speaking, a system admits this property if, and only if, there exists a pure prolongation of …

Flat singularities of chained systems, illustrated with an aircraft model

Y Kaminski, F Ollivier - computational and applied mathematics, 2024 - Springer
We consider flat differential control systems for which there exist flat outputs that are part of
the state variables and study them using Jacobi bound. We introduce a notion of saddle …

Flatness-based control revisited: The HEOL setting

C Join, E Delaleau, M Fliess - Comptes …, 2024 - comptes-rendus.academie-sciences …
We present the algebraic foundations of the HEOL setting, which combines flatness-based
control and intelligent controllers, two advances in automatic control that have been proven …