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

Hildeberto Jardón Kojakhmetov; Jacquelien M.A. Scherpen

doi:10.1109/LCSYS.2018.2832539

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

Hildeberto Jardón Kojakhmetov, Jacquelien M.A. Scherpen

Discrete Technologie en Productie Automatisering

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Through recent research combining the Geometric Desingularization method and classical control tools, it has been possible to locally stabilize non-hyperbolic 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.

Originele taal-2	English
Pagina's (van-tot)	296-301
Aantal pagina's	6
Tijdschrift	IEEE Control Systems Letters
Volume	2
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1109/LCSYS.2018.2832539
Status	Published - apr.-2018
Evenement	57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018 - The Fontainebleau in Miami Beach, FL, USA. , Miami Beach, Florida, United States Duur: 17-dec.-2018 → 19-dec.-2018

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10.1109/LCSYS.2018.2832539

Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems With One Fast DirectionFinal publisher's version, 618 KBLicentie: Taverne

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title = "Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems with One Fast Direction",

abstract = "Through recent research combining the Geometric Desingularization method and classical control tools, it has been possible to locally stabilize non-hyperbolic 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.",

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T1 - Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems with One Fast Direction

AU - Jardón Kojakhmetov, Hildeberto

AU - Scherpen, Jacquelien M.A.

PY - 2018/4

Y1 - 2018/4

N2 - Through recent research combining the Geometric Desingularization method and classical control tools, it has been possible to locally stabilize non-hyperbolic 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.

AB - Through recent research combining the Geometric Desingularization method and classical control tools, it has been possible to locally stabilize non-hyperbolic 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.

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

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DO - 10.1109/LCSYS.2018.2832539

M3 - Article

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JF - IEEE Control Systems Letters

IS - 2

T2 - 57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018

Y2 - 17 December 2018 through 19 December 2018

ER -

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

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