Stabilization of continuous-time linear systems subject to input quantization

This paper deals with the stabilization of continuous-time linear time-invariant systems subject to uniform input quantization. Specifically, the right-hand side of the closed-loop system is rewritten as a linear system subject to a discontinuous perturbation due to the quantization error. Then, the...

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Published inAutomatica (Oxford) Vol. 58; pp. 167 - 172
Main Authors Ferrante, Francesco, Gouaisbaut, Frédéric, Tarbouriech, Sophie
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2015
Elsevier
Subjects
Online AccessGet full text
ISSN0005-1098
1873-2836
1873-2836
DOI10.1016/j.automatica.2015.05.015

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Abstract This paper deals with the stabilization of continuous-time linear time-invariant systems subject to uniform input quantization. Specifically, the right-hand side of the closed-loop system is rewritten as a linear system subject to a discontinuous perturbation due to the quantization error. Then, the controller design is performed to achieve finite-time convergence of the closed-loop trajectories toward a compact invariant set surrounding the origin. Furthermore, a computationally tractable design procedure for the proposed controller based on linear matrix inequalities, and some insights on the simulation of the closed-loop system are presented. In addition, the effectiveness of the proposed control design procedure is shown in a numerical example.
AbstractList This paper deals with the stabilization of continuous-time linear time-invariant systems subject to uniform input quantization. Specifically, the right-hand side of the closed-loop system is rewritten as a linear system subject to a discontinuous perturbation due to the quantization error. Then, the controller design is performed to achieve finite-time convergence of the closed-loop trajectories toward a compact invariant set surrounding the origin. Furthermore, a computationally tractable design procedure for the proposed controller based on linear matrix inequalities, and some insights on the simulation of the closed-loop system are presented. In addition, the effectiveness of the proposed control design procedure is shown in a numerical example.
Author Tarbouriech, Sophie
Gouaisbaut, Frédéric
Ferrante, Francesco
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Keywords Linear systems
Numerical simulations
Discontinuous control
Convex optimization
Feedback stabilization
Quantizers
Language English
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Snippet This paper deals with the stabilization of continuous-time linear time-invariant systems subject to uniform input quantization. Specifically, the right-hand...
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SubjectTerms Automatic Control Engineering
Computer Science
Convex optimization
Discontinuous control
Feedback stabilization
Linear systems
Numerical simulations
Quantizers
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Title Stabilization of continuous-time linear systems subject to input quantization
URI https://dx.doi.org/10.1016/j.automatica.2015.05.015
https://hal.science/hal-01767297
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