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 in | Automatica (Oxford) Vol. 58; pp. 167 - 172 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.08.2015
Elsevier |
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Online Access | Get full text |
ISSN | 0005-1098 1873-2836 1873-2836 |
DOI | 10.1016/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. |
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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 |
Author_xml | – sequence: 1 givenname: Francesco surname: Ferrante fullname: Ferrante, Francesco email: ferrante@laas.fr organization: CNRS, LAAS 7 Avenue du Colonel Roche, F-31400 Toulouse, France – sequence: 2 givenname: Frédéric surname: Gouaisbaut fullname: Gouaisbaut, Frédéric email: fgouaisb@laas.fr organization: CNRS, LAAS 7 Avenue du Colonel Roche, F-31400 Toulouse, France – sequence: 3 givenname: Sophie surname: Tarbouriech fullname: Tarbouriech, Sophie email: tarbour@laas.fr organization: CNRS, LAAS 7 Avenue du Colonel Roche, F-31400 Toulouse, France |
BackLink | https://hal.science/hal-01767297$$DView record in HAL |
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Cites_doi | 10.1016/j.sysconle.2007.01.001 10.1016/0022-0396(79)90056-1 10.1016/j.automatica.2011.06.020 10.1109/9.58500 10.1137/S0363012993259981 10.1109/TAC.2013.2273279 10.1109/ACC.1997.612010 10.1109/9.486637 10.1016/j.sysconle.2009.03.001 10.1002/rnc.1118 10.1109/TAC.2010.2040497 10.1109/MED.2007.4433740 10.1109/9.948466 10.1109/TCS.1987.1086038 10.1109/9.867021 10.1109/TAC.2011.2179845 10.1109/TAC.2005.858689 |
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Keywords | Linear systems Numerical simulations Discontinuous control Convex optimization Feedback stabilization Quantizers |
Language | English |
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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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