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

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Abstract

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.

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Author information

Authors and Affiliations

  1. Presidence of University Sidi Mohammed Ben Abdellah, Fès, 30000, Morocco

    Fatima El Haoussi

  2. Laboratory of Electronics, Signals Systems and Data Processing, Department of Physics, Faculty of Sciences, University Sidi Mohammed Ben Abdellah, Fès, 30000, Morocco

    Houssaine El Tissir

Authors
  1. Fatima El Haoussi
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  2. Houssaine El Tissir
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Correspondence to Houssaine El Tissir.

Additional information

Fatima El Haoussi received the Ph.D. degree from University Sidi Mohammed Ben Abellah, Faculty of Sciences, Morocco in 2008. She is now a administrator in the Presidence of University Sidi Mohammed Ben Abdellah.

Her research interests include time delay systems, robust control, systems with saturating actuators, neutral systems, and H ∞ control.

El Houssaine Tissir received the “Diplóme d’Etudes supérieurs” (DES) and doctorat d’état from University Sidi Mohammed Ben Abellah, Faculty of Sciences, Morocco in 1992 and 1997, respectively. He is now a professor at the University Sidi Mohammed Ben Abellah.

His research interests include robust control, time delay systems, systems with saturating actuators, and H ∞ control and neutral systems.

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El Haoussi, F., El Tissir, H. Delay and its time-derivative dependent robust stability of uncertain neutral systems with saturating actuators. Int. J. Autom. Comput. 7, 455–462 (2010). https://doi.org/10.1007/s11633-010-0527-3

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  • DOI: https://doi.org/10.1007/s11633-010-0527-3

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