Robustness assessment via stability radii in delay parameters

Wim Michiels (1) , Emilia Fridman (2) , Silviu-Iulian Niculescu (3)

1 KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven
2 TAU - Tel Aviv University
3 L2S - Laboratoire des signaux et systèmes

This paper focuses on the robust stability analysis of a class of linear systems including multiple delays subjected to constant or time-varying perturbations. The approach considered makes use of appropriate stability radius concepts (dynamic, static) and relies on a feedback interconnection interpretation of the uncertain system. Various computable bounds on stability radii are obtained that exploit the structure of the problem. Systems including perturbations on both system matrices and delays Eire also dealt with. Copyright (C) 2008 John Wiley and Sons, Ltd.

Mots clés: delays; uncertainty; stability radius; feedback interconnection; delay equation; stability; robustness

Domaines: Automatique

Wim Michiels, Emilia Fridman, Silviu-Iulian Niculescu. Robustness assessment via stability radii in delay parameters. International Journal of Robust and Nonlinear Control, 2009, 19 (13), pp.1405-1426. ⟨10.1002/rnc.1385⟩. ⟨hal-02195941⟩