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Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems With One Fast Direction

Jardón Kojakhmetov, H. & Scherpen, J. M. A., 2-Apr-2018, In : IEEE Control Systems Letters. 2, 2, p. 296-301

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DOI

Through recent research combining the geometric
desingularization or blow-up method and classical
control tools, it has been possible to locally stabilize nonhyperbolic
points of singularly perturbed control systems.
In this letter we propose a simple method to enlarge the
region of attraction of a non-hyperbolic point in the aforementioned
setting by expanding the geometric analysis
around the singularity. In this way, we can synthesize
improved controllers that stabilize non-hyperbolic points
within a large domain of attraction. Our theoretical results
are showcased in a couple of numerical examples
Original languageEnglish
Pages (from-to)296-301
JournalIEEE Control Systems Letters
Volume2
Issue number2
Publication statusPublished - 2-Apr-2018

    Keywords

  • Singular perturbation methods, slow-fast systems, region of attraction, nonlinear control systems

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