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New delay dependent robust stability criteria for T-S fuzzy systems with constant delay

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  • Control Theory
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Abstract

This paper deals with the problem of delay dependent robust stability for T-S fuzzy time delay systems. The approach based on constructing a new Lyapunov-Krasovskii functional by dividing uniformly the delay interval into N segment with N is positive integer, and using Finsler’s lemma. This new Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments. The perturbations considered are norm bounded, and the results are expressed in terms of linear matrix inequality (LMIs). Numerical examples are provided to show the effectiveness of the present method, compared with some recent previous ones.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, University Sidi Mohammed Ben Abellah, B.P. 1796, Fès-Atlas, Fès, 30000, Morocco

    Said Idrissi, El Houssaine Tissir, Ismail Boumhidi & Noreddine Chaibi

Authors
  1. Said Idrissi
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  2. El Houssaine Tissir
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  3. Ismail Boumhidi
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  4. Noreddine Chaibi
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Correspondence to Said Idrissi.

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Recommended by Editorial Board member Fuchun Sun under the direction of Editor Young-Hoon Joo.

Said Idrissi received his Master in Engineering of Automated Industrial Systems from University of Sidi Med Ben Abdellah in 2009. His research interest covers stability and stabilization of T-S fuzzy systems with time delays.

El Houssaine Tissir received his High study Diploma (DES) and the state Doctorate 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 and H ∞ control, singular systems, switched and time delay systems, systems with saturating actuators.

Ismail Boumhidi is a professor of electronics at the Faculty of Sciences, Fez, Morocco. He received his Ph.D. degree from Sidi Mohamed ben Abdellah University, Faculty of Sciences, in 1999. His research areas include adaptive robust control, multivariable nonlinear systems, and fuzzy logic control with applications.

Noreddine Chaibi received his Master in Engineering of Automated Industrial Systems from University of Sidi Med Ben Abdellah in 2009. His research interest covers stability and stabilization of singular systems with time delays.

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Idrissi, S., Tissir, E.H., Boumhidi, I. et al. New delay dependent robust stability criteria for T-S fuzzy systems with constant delay. Int. J. Control Autom. Syst. 11, 885–892 (2013). https://doi.org/10.1007/s12555-012-9319-6

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  • DOI: https://doi.org/10.1007/s12555-012-9319-6

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