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Stabilization of Neutral Systems with Saturating Inputs

Authors:Gomes da Silva Jr. Joao Manoel, UFRGS, Brazil
Fridman Emilia, Tel-Aviv University, Israel
Seuret Alexandre, EC-Lille, France
Riichard Jean-Pierre, EC-Lille, France
Topic:2.2 Linear Control Systems
Session:Time-Delay Systems I
Keywords: time-delay, saturation, stabilization, stability domains, robustness

Abstract

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 proposed with the aim of computing stabilizing state feedback control laws.