Work

Differentially observable systems and normal form

Year: 2025

Type: article

Abstract: By normal form of observability (or canonical form), we mean a controlled dynamical system with a certain triangular structure that respects the input-output map of the system. The problem of transforming a single output controlled dynamical system using a local diffeomorphism (local coordinate change) was solved in the 1980s and 1990s. Under the assumption of uniform observability, it was shown that the system can be locally transformed almost everywhere into the so-called normal form. The global aspect consists of finding an injective transformation that sends the initial system into normal form, while preserving the input-output map. To get around the problem of the singularities involved in constructing this transformation, we have proposed a purely analytic condition which, combined with an observability condition (differential observability), solves this problem.

Source: ESAIM Control Optimisation and Calculus of Variations

DOI: 10.1051/cocv/2025055

Author: Hassan Hammouri

Institutions: Lyon 1 Université, Centre National de la Recherche Scientifique, Laboratoire d'Automatique, de Génie des Procédés et de Génie Pharmaceutique

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

OpenAlex ID: W4411355382

FWCI:

Cites: 28

Cited by:

Related to: 10