Work

On driftless systems with m controls and 2m or 2m − 1 states that are flat by pure prolongation

Year: 2025

Type: article

Abstract: It is widely recognized that no tractable necessary and sufficient conditions exist for determining whether a system is, in general, differentially flat. However, specific cases do provide such conditions. For instance, driftless systems with two inputs have known necessary and sufficient conditions. For driftless systems with three or more inputs, the available conditions are only sufficient. This paper presents new findings on determining whether a system with [Formula: see text] inputs and [Formula: see text] or [Formula: see text] states is flat by pure prolongation, a specific subclass of differential flatness. While this condition is more restrictive than general differential flatness, the algorithm for computing flat outputs remains remarkably simple, and the verification requirements are relatively lenient. Moreover, the conditions proposed in this work broaden the class of systems recognized as differentially flat, as our sufficient condition differs from existing criteria.

Source: Geometric Mechanics

DOI: 10.1142/s297245892540012x

Authors: Jean Lévine, Jaume Franch

Institutions: Centre Automatique et Systèmes, École Nationale Supérieure des Mines de Paris, Universitat Politècnica de Catalunya

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Ministerio de Ciencia, Innovación y Universidades

OpenAlex ID: W4416389499

FWCI:

Cites:

Cited by:

Related to: