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 Technology and Production Automation

Research output: Contribution to journal › Article › Academic › peer-review

1 Downloads (Pure)

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.

Original language	English
Pages (from-to)	403-408
Number of pages	7
Journal	IEEE Control Systems Letters
Volume	2
Issue number	2
DOIs	https://doi.org/10.1109/LCSYS.2018.2832539
Publication status	Published - Apr-2018
Event	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 Duration: 17-Dec-2018 → 19-Dec-2018

Access to Document

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, 765 KBLicence: Taverne

Handle.net

Persistent link

Cite this

@article{c27352a519e64dd984a9205b710be094,

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.",

author = "{Jard{\'o}n Kojakhmetov}, Hildeberto and Scherpen, {Jacquelien M.A.}",

year = "2018",

month = apr,

doi = "10.1109/LCSYS.2018.2832539",

language = "English",

volume = "2",

pages = "403--408",

journal = "IEEE Control Systems Letters",

issn = "2475-1456",

publisher = "IEEE",

number = "2",

note = "57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

}

TY - JOUR

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.

U2 - 10.1109/LCSYS.2018.2832539

DO - 10.1109/LCSYS.2018.2832539

M3 - Article

SN - 2475-1456

VL - 2

SP - 403

EP - 408

JO - IEEE Control Systems Letters

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

Abstract

Access to Document

Handle.net

Fingerprint

Cite this