Some control observation problems and their differential algebraic partial solutions - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2020

Some control observation problems and their differential algebraic partial solutions

Sette Diop

Résumé

Observation problems in control systems literature generally refer to problems of estimation of state variables (or identification of model parameters) from two sources of information: dynamic models of systems consisting in first order differential equations relating all system quantities, and online measurements of some of these quantities. For nonlinear systems the classical approach stems from the work of R. E. Kalman on the distinguishability of state space points given the knowledge of time histories of the output and input. In the differential algebraic approach observability is rather viewed as the ability to recover trajectories. This approach turns out to be a particularly suitable language to describe observability and related questions as structural properties of control systems. The present paper is an update on the latter approach initiated in the late eighties and early nineties by J. F. Pommaret, M. Fliess, S. T. Glad and the author.
Fichier principal
Vignette du fichier
diop2020a.pdf (253.28 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03087389 , version 1 (23-12-2020)

Identifiants

  • HAL Id : hal-03087389 , version 1

Citer

Sette Diop. Some control observation problems and their differential algebraic partial solutions. Algebraic and Symbolic Computation Methods in Dynamical Systems, 2020, 978-3-030-38355-8. ⟨hal-03087389⟩
58 Consultations
74 Téléchargements

Partager

Gmail Facebook X LinkedIn More