State Estimation for Control Systems with a Multiplicative Uncertainty through Polyhedral Techniques - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

State Estimation for Control Systems with a Multiplicative Uncertainty through Polyhedral Techniques

Elena K. Kostousova
  • Fonction : Auteur
  • PersonId : 978256

Résumé

The paper deals with polyhedral estimates for reachable tubes of differential systems with a multiplicative uncertainty, namely linear systems with set-valued uncertainties in initial states, additive inputs and coefficients of the system. We present nonlinear parametrized systems of ordinary differential equations (ODE) which describe the evolution of the parallelotope-valued estimates for reachable sets (time cross-sections of the reachable tubes). The main results are obtained for internal estimates. In fact, a whole family of the internal estimates is introduced. The properties of the obtained ODE systems (such as existence and uniqueness of solutions, nondegeneracy of estimates) are investigated. Using some optimization procedure we also obtain a differential inclusion which provides nondegenerate internal estimates. Examples of numerically constructed external and internal estimates are presented.
Fichier principal
Vignette du fichier
978-3-642-36062-6_17_Chapter.pdf (4 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01347534 , version 1 (21-07-2016)

Licence

Paternité

Identifiants

Citer

Elena K. Kostousova. State Estimation for Control Systems with a Multiplicative Uncertainty through Polyhedral Techniques. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.165-176, ⟨10.1007/978-3-642-36062-6_17⟩. ⟨hal-01347534⟩
77 Consultations
76 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More