Embedding of Uncertainty Propagation: Application to Hierarchical Performance Analysis

M Dinh (1) , Anton Korniienko (2) , Gérard Scorletti (2)

1 MaIAGE - Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas]
2 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes

The article proposes an approach to embed the propagation of structured uncertainty through a system in a system with one unstructured uncertainty. This embedding is interesting as it allows to use the classical analysis and design tools such H ∞ design and µ-analysis or synthesis. A strong motivation is to improve the computational efficiency of the analysis for large-scale uncertain systems using a hierarchical approach. Examples are provided for both the embedding in the SISO and MIMO cases and for the hierarchical performance analysis of an uncertain Phase-Locked-Loop network.

Mots clés: robustness analysis; hierarchical system; finite dimensional LMI

Domaines: Automatique / Robotique

M Dinh, Anton Korniienko, Gérard Scorletti. Embedding of Uncertainty Propagation: Application to Hierarchical Performance Analysis. 5th Symposium on System Structure and Control, IFAC, IFAC, Feb 2013, Grenoble, France. pp.190-195, ⟨10.3182/20130204-3-FR-2033.00165⟩. ⟨hal-01181166⟩