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^*

^*Corresponding author for this work

Departamento de Matemáticas

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

5 Scopus citations

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.

Original language	English
Pages (from-to)	1929-1941
Number of pages	13
Journal	Journal of Dynamical and Control Systems
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/s10883-023-09666-w
State	Published - Oct 2023

Bibliographical note

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

Keywords

Admissible function
Lyapunov function
Stabilization

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10.1007/s10883-023-09666-w

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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.}",

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AU - Espinoza, Jesús F.

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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

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JF - Journal of Dynamical and Control Systems

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ER -

Stabilization of Affine Systems with Polytopic Control Value Sets

Abstract

Bibliographical note

Keywords

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