Stabilization of Affine Systems with Polytopic Control Value Sets

Horacio Leyva; Baltazar Aguirre-Hernández; Jesús F. Espinoza

doi:10.1007/s10883-023-09666-w

Stabilization of Affine Systems with Polytopic Control Value Sets

Horacio Leyva, Baltazar Aguirre-Hernández, Jesús F. Espinoza^*

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.

Idioma original	Inglés
Páginas (desde-hasta)	1929-1941
Número de páginas	13
Publicación	Journal of Dynamical and Control Systems
Volumen	29
N.º	4
DOI	https://doi.org/10.1007/s10883-023-09666-w
Estado	Publicada - oct. 2023

Nota bibliográfica

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Acceder al documento

10.1007/s10883-023-09666-w

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{5576713376044d33bbd60dbdc9730e7a,

title = "Stabilization of Affine Systems with Polytopic Control Value Sets",

abstract = "The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.",

keywords = "Admissible function, Lyapunov function, Stabilization",

author = "Horacio Leyva and Baltazar Aguirre-Hern{\'a}ndez and Espinoza, {Jes{\'u}s F.}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = oct,

doi = "10.1007/s10883-023-09666-w",

language = "Ingl{\'e}s",

volume = "29",

pages = "1929--1941",

journal = "Journal of Dynamical and Control Systems",

issn = "1079-2724",

publisher = "Springer GmbH & Co, Auslieferungs-Gesellschaf",

number = "4",

}

TY - JOUR

T1 - Stabilization of Affine Systems with Polytopic Control Value Sets

AU - Leyva, Horacio

AU - Aguirre-Hernández, Baltazar

AU - Espinoza, Jesús F.

PY - 2023/10

Y1 - 2023/10

N2 - The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.

AB - The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By “normalizing” this feedback, the continuous stabilizer restricted to such control value set is obtained.

KW - Admissible function

KW - Lyapunov function

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=85171766906&partnerID=8YFLogxK

U2 - 10.1007/s10883-023-09666-w

DO - 10.1007/s10883-023-09666-w

M3 - Artículo

AN - SCOPUS:85171766906

SN - 1079-2724

VL - 29

SP - 1929

EP - 1941

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Stabilization of Affine Systems with Polytopic Control Value Sets

Resumen

Nota bibliográfica

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto