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Control of Discrete 2-D Takagi–Sugeno Systems via a Sum-of-Squares Approach

  • Redouane Chaibi
  • Abdelaziz Hmamed
  • El Houssaine Tissir
  • Fernando TadeoEmail author
Article
  • 7 Downloads

Abstract

The stabilization of Takagi–Sugeno systems is solved here for the two-dimensional polynomial discrete case, by using the sum-of-squares approach. First, we provide a stabilization condition formulated in terms of polynomial multiple Lyapunov functions. Then, a non-quadratic stabilization condition is developed by applying relaxed stabilization technique. Both conditions can be used for design, by solving them using numerical tools such as SOSTOOLS. A numerical example illustrates the effectiveness of the results.

Keywords

Discrete 2-D systems Sum-of-Squares (SOS) Stabilization Takagi–Sugeno systems 

Notes

Acknowledgements

Prof. Fernando Tadeo is funded by Conserjería de Educación, Junta de Castilla y Leon with European Regional Development Funds (Grant No. CLU 2017-09 and UIC 233), and by Secretaría de Estado de Investigación, Desarrollo e Innovación (Grant No. DPI2014-54530-R).

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Copyright information

© Brazilian Society for Automatics--SBA 2019

Authors and Affiliations

  1. 1.LESSI, Department of PhysicsFaculty of Sciences Dhar El MehrazFes-AtlasMorocco
  2. 2.Departamento de Ingenieria de Sistemas y Automatica, Institute of Sustainable ProcessesUniversidad de ValladolidValladolidSpain

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