Journal
AUTOMATICA
Volume 58, Issue -, Pages 167-172Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2015.05.015
Keywords
Linear systems; Quantizers; Convex optimization; Discontinuous control; Numerical simulations; Feedback stabilization
Funding
- ANR project LimICoS [12 BS03 00501]
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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