Delay and its time-derivative dependent robust stability of uncertain neutral systems with saturating actuators

This note concerns the problem of the robust stability of uncertain neutral systems with time-varying delay and saturating actuators. The system considered is continuous in time with norm bounded parametric uncertainties. By incorporating the free weighing matrix approach developed recently, some ne...

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Bibliographic Details
Published in:International journal of automation and computing 2010-11, Vol.7 (4), p.455-462
Main Authors: El Haoussi, Fatima, El Tissir, Houssaine
Format: Article
Language:English
Subjects:
Actuators
CAE) and Design
Computer Applications
Computer-Aided Engineering (CAD
Control
Delay
Design engineering
Engineering
Mathematical models
Mechatronics
Norms
Robotics
Stability
Tuning
Weighing
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Summary:This note concerns the problem of the robust stability of uncertain neutral systems with time-varying delay and saturating actuators. The system considered is continuous in time with norm bounded parametric uncertainties. By incorporating the free weighing matrix approach developed recently, some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) with some tuning parameters are obtained. An estimate of the domain of attraction of the closed-loop system under a priori designed controller is proposed. The approach is based on a polytopic description of the actuator saturation nonlinearities and the Lyapunov-Krasovskii method. Numerical examples are used to demonstrate the effectiveness of the proposed design method.
ISSN:1476-8186
1751-8520
DOI:10.1007/s11633-010-0527-3