Robust Stabilization of Neutral Systems with Saturating Inputs

João Manoel Gomez da Silva Jr (1) , Emilia Fridman (2) , Alexandre Seuret (3) , Jean-Pierre Richard (4, 5)

1 UFRGS - Departamento de Engenharia Eletrica
2 Department of Electrical Engineering
3 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
4 ALIEN - Algebra for Digital Identification and Estimation
5 SyNeR - Systèmes Non Linéaires et à Retards

This paper focuses on the stabilization problem of neutral systems in the presence of control saturation. Based on a descriptor approach and the use of a modified sector condition, global and local stabilization conditions are derived using Lyapunov-Krasovskii functionals. These conditions allow to consider systems presenting time-varying delays and are formulated directly as linear matrix inequalities (LMIs). Optimization problems are formulated with the aim of computing stabilizing state feedback control laws.

Mots clés: robust control; Neutral systems; time-delay; input saturation; robust control.

Domaines: Automatique / Robotique

João Manoel Gomez da Silva Jr, Emilia Fridman, Alexandre Seuret, Jean-Pierre Richard. Robust Stabilization of Neutral Systems with Saturating Inputs. IFAC World Conference, Jul 2005, Prague, Czech Republic. ⟨hal-00385948⟩