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Robust \(\alpha \)-Stabilization of Uncertain Positive Takagi–Sugeno Systems with Time-Delay via Memory State-Feedback

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Abstract

This paper is concerned with the design of robust state-feedback controllers for uncertain positive Takagi–Sugeno systems with time-delay. The \(\alpha \)-stabilization by static state-feedback controllers with memory is investigated, taking into account the positivity and the interval uncertainties of the delayed closed-loop system into account. For this, new sufficient \(\alpha \)-stabilization conditions are established in terms of LMIs. An example illustrates of the proposed approach.

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Acknowledgments

This work is funded by MiCInn DPI2010-21589-C05-05. We would like to thank Dr. Abdellah Benzaouia, Professor at LAEPT (Laboratory of Automatic Control, Environment and Transfer Processes) and CNRST (National Center of Scientific and Technical Research) of the University of Cadi Ayyad (Marrakech, Morocco) for collaborating with us.

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Authors and Affiliations

  1. Department of Systems Engineering and Automatic Control, University of Valladolid, 47005 , Valladolid, Spain

    Ines Zaidi & Fernando Tadeo

  2. Department of Sciences and Techniques of Automatic Control and Computer Engineering, University of Sfax, 3038 , Sfax, Tunisia

    Hafedh Abid & Mohamed Chaabane

Authors
  1. Ines Zaidi
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  2. Hafedh Abid
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  3. Fernando Tadeo
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  4. Mohamed Chaabane
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Correspondence to Ines Zaidi.

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Zaidi, I., Abid, H., Tadeo, F. et al. Robust \(\alpha \)-Stabilization of Uncertain Positive Takagi–Sugeno Systems with Time-Delay via Memory State-Feedback. Circuits Syst Signal Process 35, 619–633 (2016). https://doi.org/10.1007/s00034-015-0075-8

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  • DOI: https://doi.org/10.1007/s00034-015-0075-8

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