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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Bibliographic Details
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
Automatic Control Engineering
Computer Science
Convex optimization
Discontinuous control
Feedback stabilization
Linear systems
Numerical simulations
Quantizers
Linear systems
Numerical simulations
Discontinuous control
Convex optimization
Feedback stabilization
Quantizers
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2015.05.015