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Control Based on Saturated Time-Delay Systems Theory of Mach Number in Wind Tunnels

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Abstract

A proposal for the regulation of the Mach number in wind tunnels using static state feedback for saturated systems with delays is presented here. As these systems can be precisely represented by a time-delay model with saturating inputs, a general solution for discrete delayed systems with saturating input is first derived. This general solution is based on modeling the saturation using a Lyapunov functional, using free weighting matrices and maximizing the set of admissible initial conditions. The application of this solution to the control of the Mach number in a wind tunnel is then presented, illustrating the design procedures.

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Acknowledgements

This work was partly funded by MiCInn Project DPI2014-54530-R, co-funded by FEDER funds.

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Authors and Affiliations

  1. LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University Sidi Mohammed Ben Abdellah, BP 1796, Fes-Atlas, Morocco

    Nabil El Fezazi & El Houssaine Tissir

  2. Department of Mathematics and Informatics, Polydisciplinary Faculty of Nador, BP 300, 62700, Selouane, Nador, Morocco

    Fatima El Haoussi

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

    Teresa Alvarez & Fernando Tadeo

Authors
  1. Nabil El Fezazi
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  2. El Houssaine Tissir
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  3. Fatima El Haoussi
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  4. Teresa Alvarez
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  5. Fernando Tadeo
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Correspondence to Fernando Tadeo.

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El Fezazi, N., Tissir, E.H., El Haoussi, F. et al. Control Based on Saturated Time-Delay Systems Theory of Mach Number in Wind Tunnels. Circuits Syst Signal Process 37, 1505–1522 (2018). https://doi.org/10.1007/s00034-017-0620-8

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  • DOI: https://doi.org/10.1007/s00034-017-0620-8

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